Practice sheet
Fresh questions from the whole chapter, to do on paper.
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- Two fair dice are rolled. Find the probability that the sum is 2.Two fair dice are rolled. Find the probability that the sum is 12.Two fair dice are rolled. Find the probability that the sum is 8.Two fair dice are rolled. Find the probability that the sum is 5.Two fair dice are rolled. Find the probability that the sum is 4.Two fair dice are rolled. Find the probability that the sum is 3.Two fair dice are rolled. Find the probability that the sum is 7.Two fair dice are rolled. Find the probability that the sum is 11.Two fair dice are rolled. Find the probability that the sum is 9.Two fair dice are rolled. Find the probability that the sum is 10.Two fair dice are rolled. Find the probability that the sum is 6.
- A fair die is rolled 2 times. Find the probability of at least one six.A fair die is rolled 6 times. Find the probability of at least one six.A fair die is rolled 4 times. Find the probability of at least one six.A fair die is rolled 5 times. Find the probability of at least one six.A fair die is rolled 3 times. Find the probability of at least one six.
- The probability that a flight is late is 0.78. Find the probability that it is not late.The probability that a flight is late is 0.13. Find the probability that it is not late.The probability that a flight is late is 0.71. Find the probability that it is not late.The probability that a flight is late is 0.15. Find the probability that it is not late.The probability that a flight is late is 0.20. Find the probability that it is not late.The probability that a flight is late is 0.89. Find the probability that it is not late.The probability that a flight is late is 0.28. Find the probability that it is not late.The probability that a flight is late is 0.57. Find the probability that it is not late.The probability that a flight is late is 0.19. Find the probability that it is not late.The probability that a flight is late is 0.37. Find the probability that it is not late.The probability that a flight is late is 0.11. Find the probability that it is not late.The probability that a flight is late is 0.18. Find the probability that it is not late.The probability that a flight is late is 0.45. Find the probability that it is not late.The probability that a flight is late is 0.65. Find the probability that it is not late.The probability that a flight is late is 0.17. Find the probability that it is not late.The probability that a flight is late is 0.27. Find the probability that it is not late.The probability that a flight is late is 0.60. Find the probability that it is not late.The probability that a flight is late is 0.49. Find the probability that it is not late.The probability that a flight is late is 0.41. Find the probability that it is not late.The probability that a flight is late is 0.61. Find the probability that it is not late.The probability that a flight is late is 0.88. Find the probability that it is not late.The probability that a flight is late is 0.68. Find the probability that it is not late.The probability that a flight is late is 0.84. Find the probability that it is not late.The probability that a flight is late is 0.23. Find the probability that it is not late.The probability that a flight is late is 0.63. Find the probability that it is not late.The probability that a flight is late is 0.72. Find the probability that it is not late.The probability that a flight is late is 0.46. Find the probability that it is not late.The probability that a flight is late is 0.74. Find the probability that it is not late.The probability that a flight is late is 0.62. Find the probability that it is not late.The probability that a flight is late is 0.38. Find the probability that it is not late.The probability that a flight is late is 0.40. Find the probability that it is not late.The probability that a flight is late is 0.51. Find the probability that it is not late.The probability that a flight is late is 0.21. Find the probability that it is not late.The probability that a flight is late is 0.26. Find the probability that it is not late.The probability that a flight is late is 0.73. Find the probability that it is not late.The probability that a flight is late is 0.42. Find the probability that it is not late.The probability that a flight is late is 0.76. Find the probability that it is not late.The probability that a flight is late is 0.56. Find the probability that it is not late.The probability that a flight is late is 0.80. Find the probability that it is not late.The probability that a flight is late is 0.81. Find the probability that it is not late.The probability that a flight is late is 0.35. Find the probability that it is not late.The probability that a flight is late is 0.87. Find the probability that it is not late.The probability that a flight is late is 0.31. Find the probability that it is not late.The probability that a flight is late is 0.59. Find the probability that it is not late.The probability that a flight is late is 0.75. Find the probability that it is not late.The probability that a flight is late is 0.22. Find the probability that it is not late.The probability that a flight is late is 0.25. Find the probability that it is not late.The probability that a flight is late is 0.52. Find the probability that it is not late.The probability that a flight is late is 0.79. Find the probability that it is not late.The probability that a flight is late is 0.16. Find the probability that it is not late.
- In a class of 35 students, 12 are girls, 12 play soccer and 2 girls play soccer. A student is chosen at random. Find P(girl or soccer player).In a class of 34 students, 16 are girls, 10 play soccer and 4 girls play soccer. A student is chosen at random. Find P(girl or soccer player).In a class of 35 students, 19 are girls, 8 play soccer and 4 girls play soccer. A student is chosen at random. Find P(girl or soccer player).In a class of 40 students, 13 are girls, 15 play soccer and 4 girls play soccer. A student is chosen at random. Find P(girl or soccer player).In a class of 37 students, 18 are girls, 10 play soccer and 2 girls play soccer. A student is chosen at random. Find P(girl or soccer player).In a class of 36 students, 18 are girls, 14 play soccer and 2 girls play soccer. A student is chosen at random. Find P(girl or soccer player).In a class of 37 students, 14 are girls, 6 play soccer and 3 girls play soccer. A student is chosen at random. Find P(girl or soccer player).In a class of 32 students, 15 are girls, 13 play soccer and 2 girls play soccer. A student is chosen at random. Find P(girl or soccer player).In a class of 38 students, 10 are girls, 6 play soccer and 1 girls play soccer. A student is chosen at random. Find P(girl or soccer player).In a class of 33 students, 16 are girls, 14 play soccer and 2 girls play soccer. A student is chosen at random. Find P(girl or soccer player).In a class of 33 students, 12 are girls, 13 play soccer and 2 girls play soccer. A student is chosen at random. Find P(girl or soccer player).In a class of 40 students, 16 are girls, 12 play soccer and 3 girls play soccer. A student is chosen at random. Find P(girl or soccer player).In a class of 34 students, 13 are girls, 9 play soccer and 2 girls play soccer. A student is chosen at random. Find P(girl or soccer player).In a class of 34 students, 20 are girls, 10 play soccer and 2 girls play soccer. A student is chosen at random. Find P(girl or soccer player).In a class of 30 students, 16 are girls, 13 play soccer and 1 girls play soccer. A student is chosen at random. Find P(girl or soccer player).In a class of 39 students, 18 are girls, 14 play soccer and 3 girls play soccer. A student is chosen at random. Find P(girl or soccer player).In a class of 36 students, 11 are girls, 5 play soccer and 2 girls play soccer. A student is chosen at random. Find P(girl or soccer player).In a class of 34 students, 15 are girls, 15 play soccer and 3 girls play soccer. A student is chosen at random. Find P(girl or soccer player).In a class of 30 students, 19 are girls, 9 play soccer and 1 girls play soccer. A student is chosen at random. Find P(girl or soccer player).In a class of 33 students, 15 are girls, 15 play soccer and 3 girls play soccer. A student is chosen at random. Find P(girl or soccer player).In a class of 35 students, 14 are girls, 6 play soccer and 2 girls play soccer. A student is chosen at random. Find P(girl or soccer player).In a class of 39 students, 14 are girls, 9 play soccer and 2 girls play soccer. A student is chosen at random. Find P(girl or soccer player).In a class of 34 students, 15 are girls, 14 play soccer and 2 girls play soccer. A student is chosen at random. Find P(girl or soccer player).In a class of 34 students, 19 are girls, 11 play soccer and 2 girls play soccer. A student is chosen at random. Find P(girl or soccer player).In a class of 36 students, 19 are girls, 9 play soccer and 1 girls play soccer. A student is chosen at random. Find P(girl or soccer player).In a class of 40 students, 12 are girls, 5 play soccer and 3 girls play soccer. A student is chosen at random. Find P(girl or soccer player).In a class of 37 students, 18 are girls, 14 play soccer and 3 girls play soccer. A student is chosen at random. Find P(girl or soccer player).In a class of 36 students, 18 are girls, 14 play soccer and 1 girls play soccer. A student is chosen at random. Find P(girl or soccer player).In a class of 30 students, 13 are girls, 12 play soccer and 3 girls play soccer. A student is chosen at random. Find P(girl or soccer player).In a class of 34 students, 20 are girls, 11 play soccer and 4 girls play soccer. A student is chosen at random. Find P(girl or soccer player).In a class of 34 students, 20 are girls, 14 play soccer and 1 girls play soccer. A student is chosen at random. Find P(girl or soccer player).In a class of 30 students, 16 are girls, 5 play soccer and 4 girls play soccer. A student is chosen at random. Find P(girl or soccer player).In a class of 31 students, 20 are girls, 10 play soccer and 2 girls play soccer. A student is chosen at random. Find P(girl or soccer player).In a class of 33 students, 18 are girls, 8 play soccer and 3 girls play soccer. A student is chosen at random. Find P(girl or soccer player).In a class of 34 students, 20 are girls, 11 play soccer and 2 girls play soccer. A student is chosen at random. Find P(girl or soccer player).In a class of 36 students, 20 are girls, 15 play soccer and 3 girls play soccer. A student is chosen at random. Find P(girl or soccer player).In a class of 37 students, 11 are girls, 7 play soccer and 3 girls play soccer. A student is chosen at random. Find P(girl or soccer player).In a class of 30 students, 10 are girls, 5 play soccer and 2 girls play soccer. A student is chosen at random. Find P(girl or soccer player).In a class of 37 students, 11 are girls, 15 play soccer and 3 girls play soccer. A student is chosen at random. Find P(girl or soccer player).In a class of 30 students, 11 are girls, 13 play soccer and 1 girls play soccer. A student is chosen at random. Find P(girl or soccer player).In a class of 35 students, 20 are girls, 5 play soccer and 3 girls play soccer. A student is chosen at random. Find P(girl or soccer player).In a class of 31 students, 16 are girls, 15 play soccer and 1 girls play soccer. A student is chosen at random. Find P(girl or soccer player).In a class of 30 students, 20 are girls, 10 play soccer and 4 girls play soccer. A student is chosen at random. Find P(girl or soccer player).In a class of 33 students, 19 are girls, 14 play soccer and 1 girls play soccer. A student is chosen at random. Find P(girl or soccer player).In a class of 40 students, 13 are girls, 14 play soccer and 3 girls play soccer. A student is chosen at random. Find P(girl or soccer player).In a class of 40 students, 17 are girls, 5 play soccer and 1 girls play soccer. A student is chosen at random. Find P(girl or soccer player).In a class of 39 students, 12 are girls, 14 play soccer and 4 girls play soccer. A student is chosen at random. Find P(girl or soccer player).In a class of 36 students, 17 are girls, 15 play soccer and 3 girls play soccer. A student is chosen at random. Find P(girl or soccer player).In a class of 30 students, 11 are girls, 10 play soccer and 3 girls play soccer. A student is chosen at random. Find P(girl or soccer player).In a class of 35 students, 18 are girls, 6 play soccer and 1 girls play soccer. A student is chosen at random. Find P(girl or soccer player).
- Events A and B are mutually exclusive, with P(A) = 0.31 and P(B) = 0.24. Find P(A and B).Events A and B are mutually exclusive, with P(A) = 0.26 and P(B) = 0.39. Find P(A and B).Events A and B are mutually exclusive, with P(A) = 0.37 and P(B) = 0.27. Find P(A and B).Events A and B are mutually exclusive, with P(A) = 0.31 and P(B) = 0.14. Find P(A and B).Events A and B are mutually exclusive, with P(A) = 0.18 and P(B) = 0.14. Find P(A and B).Events A and B are mutually exclusive, with P(A) = 0.32 and P(B) = 0.22. Find P(A and B).Events A and B are mutually exclusive, with P(A) = 0.11 and P(B) = 0.23. Find P(A and B).Events A and B are mutually exclusive, with P(A) = 0.31 and P(B) = 0.11. Find P(A and B).Events A and B are mutually exclusive, with P(A) = 0.24 and P(B) = 0.40. Find P(A and B).Events A and B are mutually exclusive, with P(A) = 0.14 and P(B) = 0.34. Find P(A and B).Events A and B are mutually exclusive, with P(A) = 0.35 and P(B) = 0.14. Find P(A and B).Events A and B are mutually exclusive, with P(A) = 0.38 and P(B) = 0.34. Find P(A and B).Events A and B are mutually exclusive, with P(A) = 0.24 and P(B) = 0.26. Find P(A and B).Events A and B are mutually exclusive, with P(A) = 0.28 and P(B) = 0.19. Find P(A and B).Events A and B are mutually exclusive, with P(A) = 0.22 and P(B) = 0.31. Find P(A and B).Events A and B are mutually exclusive, with P(A) = 0.16 and P(B) = 0.25. Find P(A and B).Events A and B are mutually exclusive, with P(A) = 0.32 and P(B) = 0.14. Find P(A and B).Events A and B are mutually exclusive, with P(A) = 0.37 and P(B) = 0.15. Find P(A and B).Events A and B are mutually exclusive, with P(A) = 0.38 and P(B) = 0.14. Find P(A and B).Events A and B are mutually exclusive, with P(A) = 0.30 and P(B) = 0.38. Find P(A and B).Events A and B are mutually exclusive, with P(A) = 0.20 and P(B) = 0.19. Find P(A and B).Events A and B are mutually exclusive, with P(A) = 0.14 and P(B) = 0.33. Find P(A and B).Events A and B are mutually exclusive, with P(A) = 0.24 and P(B) = 0.13. Find P(A and B).Events A and B are mutually exclusive, with P(A) = 0.19 and P(B) = 0.38. Find P(A and B).Events A and B are mutually exclusive, with P(A) = 0.26 and P(B) = 0.38. Find P(A and B).Events A and B are mutually exclusive, with P(A) = 0.37 and P(B) = 0.14. Find P(A and B).Events A and B are mutually exclusive, with P(A) = 0.20 and P(B) = 0.13. Find P(A and B).Events A and B are mutually exclusive, with P(A) = 0.30 and P(B) = 0.25. Find P(A and B).Events A and B are mutually exclusive, with P(A) = 0.34 and P(B) = 0.12. Find P(A and B).Events A and B are mutually exclusive, with P(A) = 0.12 and P(B) = 0.36. Find P(A and B).Events A and B are mutually exclusive, with P(A) = 0.28 and P(B) = 0.16. Find P(A and B).Events A and B are mutually exclusive, with P(A) = 0.25 and P(B) = 0.35. Find P(A and B).Events A and B are mutually exclusive, with P(A) = 0.21 and P(B) = 0.19. Find P(A and B).Events A and B are mutually exclusive, with P(A) = 0.29 and P(B) = 0.30. Find P(A and B).Events A and B are mutually exclusive, with P(A) = 0.31 and P(B) = 0.38. Find P(A and B).Events A and B are mutually exclusive, with P(A) = 0.34 and P(B) = 0.11. Find P(A and B).Events A and B are mutually exclusive, with P(A) = 0.21 and P(B) = 0.25. Find P(A and B).Events A and B are mutually exclusive, with P(A) = 0.32 and P(B) = 0.30. Find P(A and B).Events A and B are mutually exclusive, with P(A) = 0.11 and P(B) = 0.14. Find P(A and B).Events A and B are mutually exclusive, with P(A) = 0.39 and P(B) = 0.17. Find P(A and B).Events A and B are mutually exclusive, with P(A) = 0.35 and P(B) = 0.26. Find P(A and B).Events A and B are mutually exclusive, with P(A) = 0.37 and P(B) = 0.38. Find P(A and B).Events A and B are mutually exclusive, with P(A) = 0.30 and P(B) = 0.37. Find P(A and B).Events A and B are mutually exclusive, with P(A) = 0.40 and P(B) = 0.17. Find P(A and B).Events A and B are mutually exclusive, with P(A) = 0.12 and P(B) = 0.27. Find P(A and B).Events A and B are mutually exclusive, with P(A) = 0.16 and P(B) = 0.19. Find P(A and B).Events A and B are mutually exclusive, with P(A) = 0.36 and P(B) = 0.20. Find P(A and B).Events A and B are mutually exclusive, with P(A) = 0.29 and P(B) = 0.29. Find P(A and B).Events A and B are mutually exclusive, with P(A) = 0.17 and P(B) = 0.38. Find P(A and B).Events A and B are mutually exclusive, with P(A) = 0.22 and P(B) = 0.22. Find P(A and B).
- A spinner lands on red with probability 0.21 and on blue with probability 0.32. Find P(red or blue).A spinner lands on red with probability 0.20 and on blue with probability 0.31. Find P(red or blue).A spinner lands on red with probability 0.12 and on blue with probability 0.33. Find P(red or blue).A spinner lands on red with probability 0.28 and on blue with probability 0.13. Find P(red or blue).A spinner lands on red with probability 0.37 and on blue with probability 0.24. Find P(red or blue).A spinner lands on red with probability 0.20 and on blue with probability 0.17. Find P(red or blue).A spinner lands on red with probability 0.23 and on blue with probability 0.11. Find P(red or blue).A spinner lands on red with probability 0.17 and on blue with probability 0.34. Find P(red or blue).A spinner lands on red with probability 0.31 and on blue with probability 0.18. Find P(red or blue).A spinner lands on red with probability 0.20 and on blue with probability 0.30. Find P(red or blue).A spinner lands on red with probability 0.23 and on blue with probability 0.25. Find P(red or blue).A spinner lands on red with probability 0.36 and on blue with probability 0.26. Find P(red or blue).A spinner lands on red with probability 0.17 and on blue with probability 0.14. Find P(red or blue).A spinner lands on red with probability 0.13 and on blue with probability 0.37. Find P(red or blue).A spinner lands on red with probability 0.33 and on blue with probability 0.32. Find P(red or blue).A spinner lands on red with probability 0.40 and on blue with probability 0.38. Find P(red or blue).A spinner lands on red with probability 0.16 and on blue with probability 0.21. Find P(red or blue).A spinner lands on red with probability 0.30 and on blue with probability 0.21. Find P(red or blue).A spinner lands on red with probability 0.19 and on blue with probability 0.21. Find P(red or blue).A spinner lands on red with probability 0.34 and on blue with probability 0.19. Find P(red or blue).A spinner lands on red with probability 0.11 and on blue with probability 0.29. Find P(red or blue).A spinner lands on red with probability 0.28 and on blue with probability 0.16. Find P(red or blue).A spinner lands on red with probability 0.23 and on blue with probability 0.35. Find P(red or blue).A spinner lands on red with probability 0.19 and on blue with probability 0.30. Find P(red or blue).A spinner lands on red with probability 0.39 and on blue with probability 0.22. Find P(red or blue).A spinner lands on red with probability 0.31 and on blue with probability 0.13. Find P(red or blue).A spinner lands on red with probability 0.26 and on blue with probability 0.15. Find P(red or blue).A spinner lands on red with probability 0.23 and on blue with probability 0.18. Find P(red or blue).A spinner lands on red with probability 0.30 and on blue with probability 0.22. Find P(red or blue).A spinner lands on red with probability 0.23 and on blue with probability 0.16. Find P(red or blue).A spinner lands on red with probability 0.24 and on blue with probability 0.38. Find P(red or blue).A spinner lands on red with probability 0.18 and on blue with probability 0.30. Find P(red or blue).A spinner lands on red with probability 0.17 and on blue with probability 0.35. Find P(red or blue).A spinner lands on red with probability 0.32 and on blue with probability 0.18. Find P(red or blue).A spinner lands on red with probability 0.17 and on blue with probability 0.40. Find P(red or blue).A spinner lands on red with probability 0.36 and on blue with probability 0.21. Find P(red or blue).A spinner lands on red with probability 0.36 and on blue with probability 0.36. Find P(red or blue).A spinner lands on red with probability 0.37 and on blue with probability 0.39. Find P(red or blue).A spinner lands on red with probability 0.23 and on blue with probability 0.14. Find P(red or blue).A spinner lands on red with probability 0.14 and on blue with probability 0.17. Find P(red or blue).A spinner lands on red with probability 0.12 and on blue with probability 0.11. Find P(red or blue).A spinner lands on red with probability 0.24 and on blue with probability 0.13. Find P(red or blue).A spinner lands on red with probability 0.16 and on blue with probability 0.12. Find P(red or blue).A spinner lands on red with probability 0.38 and on blue with probability 0.30. Find P(red or blue).A spinner lands on red with probability 0.11 and on blue with probability 0.34. Find P(red or blue).A spinner lands on red with probability 0.14 and on blue with probability 0.31. Find P(red or blue).A spinner lands on red with probability 0.14 and on blue with probability 0.25. Find P(red or blue).A spinner lands on red with probability 0.25 and on blue with probability 0.21. Find P(red or blue).A spinner lands on red with probability 0.14 and on blue with probability 0.26. Find P(red or blue).A spinner lands on red with probability 0.12 and on blue with probability 0.24. Find P(red or blue).
- A screening test was given to 316 people: 47 had the disease and tested positive, 8 had the disease and tested negative, 34 did not have it and tested positive, 227 did not have it and tested negative. Find P(disease | positive).A screening test was given to 256 people: 33 had the disease and tested positive, 7 had the disease and tested negative, 21 did not have it and tested positive, 195 did not have it and tested negative. Find P(disease | positive).A screening test was given to 239 people: 57 had the disease and tested positive, 3 had the disease and tested negative, 29 did not have it and tested positive, 150 did not have it and tested negative. Find P(disease | positive).A screening test was given to 241 people: 30 had the disease and tested positive, 5 had the disease and tested negative, 14 did not have it and tested positive, 192 did not have it and tested negative. Find P(disease | positive).A screening test was given to 323 people: 33 had the disease and tested positive, 3 had the disease and tested negative, 32 did not have it and tested positive, 255 did not have it and tested negative. Find P(disease | positive).A screening test was given to 239 people: 55 had the disease and tested positive, 6 had the disease and tested negative, 15 did not have it and tested positive, 163 did not have it and tested negative. Find P(disease | positive).A screening test was given to 240 people: 44 had the disease and tested positive, 2 had the disease and tested negative, 17 did not have it and tested positive, 177 did not have it and tested negative. Find P(disease | positive).A screening test was given to 310 people: 28 had the disease and tested positive, 10 had the disease and tested negative, 34 did not have it and tested positive, 238 did not have it and tested negative. Find P(disease | positive).A screening test was given to 210 people: 39 had the disease and tested positive, 5 had the disease and tested negative, 23 did not have it and tested positive, 143 did not have it and tested negative. Find P(disease | positive).A screening test was given to 324 people: 27 had the disease and tested positive, 6 had the disease and tested negative, 35 did not have it and tested positive, 256 did not have it and tested negative. Find P(disease | positive).A screening test was given to 278 people: 33 had the disease and tested positive, 2 had the disease and tested negative, 31 did not have it and tested positive, 212 did not have it and tested negative. Find P(disease | positive).A screening test was given to 170 people: 22 had the disease and tested positive, 2 had the disease and tested negative, 26 did not have it and tested positive, 120 did not have it and tested negative. Find P(disease | positive).A screening test was given to 210 people: 23 had the disease and tested positive, 10 had the disease and tested negative, 18 did not have it and tested positive, 159 did not have it and tested negative. Find P(disease | positive).A screening test was given to 171 people: 35 had the disease and tested positive, 3 had the disease and tested negative, 24 did not have it and tested positive, 109 did not have it and tested negative. Find P(disease | positive).A screening test was given to 216 people: 60 had the disease and tested positive, 10 had the disease and tested negative, 25 did not have it and tested positive, 121 did not have it and tested negative. Find P(disease | positive).A screening test was given to 264 people: 39 had the disease and tested positive, 8 had the disease and tested negative, 29 did not have it and tested positive, 188 did not have it and tested negative. Find P(disease | positive).A screening test was given to 209 people: 26 had the disease and tested positive, 4 had the disease and tested negative, 15 did not have it and tested positive, 164 did not have it and tested negative. Find P(disease | positive).A screening test was given to 280 people: 60 had the disease and tested positive, 9 had the disease and tested negative, 14 did not have it and tested positive, 197 did not have it and tested negative. Find P(disease | positive).A screening test was given to 252 people: 32 had the disease and tested positive, 5 had the disease and tested negative, 25 did not have it and tested positive, 190 did not have it and tested negative. Find P(disease | positive).A screening test was given to 336 people: 44 had the disease and tested positive, 7 had the disease and tested negative, 34 did not have it and tested positive, 251 did not have it and tested negative. Find P(disease | positive).A screening test was given to 298 people: 52 had the disease and tested positive, 4 had the disease and tested negative, 22 did not have it and tested positive, 220 did not have it and tested negative. Find P(disease | positive).A screening test was given to 200 people: 26 had the disease and tested positive, 3 had the disease and tested negative, 15 did not have it and tested positive, 156 did not have it and tested negative. Find P(disease | positive).A screening test was given to 346 people: 42 had the disease and tested positive, 5 had the disease and tested negative, 18 did not have it and tested positive, 281 did not have it and tested negative. Find P(disease | positive).A screening test was given to 258 people: 21 had the disease and tested positive, 7 had the disease and tested negative, 36 did not have it and tested positive, 194 did not have it and tested negative. Find P(disease | positive).A screening test was given to 317 people: 54 had the disease and tested positive, 3 had the disease and tested negative, 30 did not have it and tested positive, 230 did not have it and tested negative. Find P(disease | positive).A screening test was given to 240 people: 31 had the disease and tested positive, 3 had the disease and tested negative, 14 did not have it and tested positive, 192 did not have it and tested negative. Find P(disease | positive).A screening test was given to 301 people: 53 had the disease and tested positive, 6 had the disease and tested negative, 38 did not have it and tested positive, 204 did not have it and tested negative. Find P(disease | positive).A screening test was given to 187 people: 38 had the disease and tested positive, 9 had the disease and tested negative, 33 did not have it and tested positive, 107 did not have it and tested negative. Find P(disease | positive).A screening test was given to 293 people: 35 had the disease and tested positive, 10 had the disease and tested negative, 11 did not have it and tested positive, 237 did not have it and tested negative. Find P(disease | positive).A screening test was given to 294 people: 54 had the disease and tested positive, 10 had the disease and tested negative, 17 did not have it and tested positive, 213 did not have it and tested negative. Find P(disease | positive).A screening test was given to 225 people: 47 had the disease and tested positive, 5 had the disease and tested negative, 13 did not have it and tested positive, 160 did not have it and tested negative. Find P(disease | positive).A screening test was given to 275 people: 58 had the disease and tested positive, 7 had the disease and tested negative, 22 did not have it and tested positive, 188 did not have it and tested negative. Find P(disease | positive).A screening test was given to 230 people: 58 had the disease and tested positive, 4 had the disease and tested negative, 15 did not have it and tested positive, 153 did not have it and tested negative. Find P(disease | positive).A screening test was given to 228 people: 41 had the disease and tested positive, 4 had the disease and tested negative, 18 did not have it and tested positive, 165 did not have it and tested negative. Find P(disease | positive).A screening test was given to 236 people: 50 had the disease and tested positive, 9 had the disease and tested negative, 34 did not have it and tested positive, 143 did not have it and tested negative. Find P(disease | positive).A screening test was given to 337 people: 47 had the disease and tested positive, 3 had the disease and tested negative, 13 did not have it and tested positive, 274 did not have it and tested negative. Find P(disease | positive).A screening test was given to 323 people: 43 had the disease and tested positive, 5 had the disease and tested negative, 22 did not have it and tested positive, 253 did not have it and tested negative. Find P(disease | positive).A screening test was given to 150 people: 20 had the disease and tested positive, 9 had the disease and tested negative, 21 did not have it and tested positive, 100 did not have it and tested negative. Find P(disease | positive).A screening test was given to 202 people: 32 had the disease and tested positive, 9 had the disease and tested negative, 36 did not have it and tested positive, 125 did not have it and tested negative. Find P(disease | positive).A screening test was given to 258 people: 22 had the disease and tested positive, 6 had the disease and tested negative, 33 did not have it and tested positive, 197 did not have it and tested negative. Find P(disease | positive).A screening test was given to 201 people: 55 had the disease and tested positive, 4 had the disease and tested negative, 19 did not have it and tested positive, 123 did not have it and tested negative. Find P(disease | positive).A screening test was given to 295 people: 31 had the disease and tested positive, 9 had the disease and tested negative, 18 did not have it and tested positive, 237 did not have it and tested negative. Find P(disease | positive).A screening test was given to 335 people: 22 had the disease and tested positive, 9 had the disease and tested negative, 19 did not have it and tested positive, 285 did not have it and tested negative. Find P(disease | positive).A screening test was given to 324 people: 59 had the disease and tested positive, 10 had the disease and tested negative, 27 did not have it and tested positive, 228 did not have it and tested negative. Find P(disease | positive).A screening test was given to 277 people: 57 had the disease and tested positive, 3 had the disease and tested negative, 19 did not have it and tested positive, 198 did not have it and tested negative. Find P(disease | positive).A screening test was given to 338 people: 24 had the disease and tested positive, 10 had the disease and tested negative, 14 did not have it and tested positive, 290 did not have it and tested negative. Find P(disease | positive).A screening test was given to 359 people: 41 had the disease and tested positive, 7 had the disease and tested negative, 35 did not have it and tested positive, 276 did not have it and tested negative. Find P(disease | positive).A screening test was given to 219 people: 32 had the disease and tested positive, 9 had the disease and tested negative, 30 did not have it and tested positive, 148 did not have it and tested negative. Find P(disease | positive).A screening test was given to 284 people: 42 had the disease and tested positive, 4 had the disease and tested negative, 27 did not have it and tested positive, 211 did not have it and tested negative. Find P(disease | positive).A screening test was given to 310 people: 30 had the disease and tested positive, 2 had the disease and tested negative, 30 did not have it and tested positive, 248 did not have it and tested negative. Find P(disease | positive).
- P(A) = 0.60, P(B) = 0.22 and P(A and B) = 0.5. Find P(A | B).P(A) = 0.55, P(B) = 0.33 and P(A and B) = 0.13. Find P(A | B).P(A) = 0.62, P(B) = 0.30 and P(A and B) = 0.16. Find P(A | B).P(A) = 0.46, P(B) = 0.20 and P(A and B) = 0.8. Find P(A | B).P(A) = 0.44, P(B) = 0.21 and P(A and B) = 0.15. Find P(A | B).P(A) = 0.58, P(B) = 0.22 and P(A and B) = 0.8. Find P(A | B).P(A) = 0.52, P(B) = 0.31 and P(A and B) = 0.5. Find P(A | B).P(A) = 0.50, P(B) = 0.33 and P(A and B) = 0.5. Find P(A | B).P(A) = 0.62, P(B) = 0.29 and P(A and B) = 0.5. Find P(A | B).P(A) = 0.41, P(B) = 0.25 and P(A and B) = 0.11. Find P(A | B).P(A) = 0.41, P(B) = 0.31 and P(A and B) = 0.19. Find P(A | B).P(A) = 0.45, P(B) = 0.21 and P(A and B) = 0.10. Find P(A | B).P(A) = 0.45, P(B) = 0.26 and P(A and B) = 0.12. Find P(A | B).P(A) = 0.66, P(B) = 0.25 and P(A and B) = 0.18. Find P(A | B).P(A) = 0.69, P(B) = 0.25 and P(A and B) = 0.10. Find P(A | B).P(A) = 0.45, P(B) = 0.25 and P(A and B) = 0.11. Find P(A | B).P(A) = 0.44, P(B) = 0.26 and P(A and B) = 0.8. Find P(A | B).P(A) = 0.66, P(B) = 0.29 and P(A and B) = 0.8. Find P(A | B).P(A) = 0.67, P(B) = 0.33 and P(A and B) = 0.18. Find P(A | B).P(A) = 0.56, P(B) = 0.31 and P(A and B) = 0.6. Find P(A | B).P(A) = 0.56, P(B) = 0.33 and P(A and B) = 0.9. Find P(A | B).P(A) = 0.42, P(B) = 0.28 and P(A and B) = 0.16. Find P(A | B).P(A) = 0.57, P(B) = 0.23 and P(A and B) = 0.9. Find P(A | B).P(A) = 0.65, P(B) = 0.32 and P(A and B) = 0.12. Find P(A | B).P(A) = 0.64, P(B) = 0.30 and P(A and B) = 0.9. Find P(A | B).P(A) = 0.47, P(B) = 0.31 and P(A and B) = 0.9. Find P(A | B).P(A) = 0.55, P(B) = 0.24 and P(A and B) = 0.18. Find P(A | B).P(A) = 0.54, P(B) = 0.30 and P(A and B) = 0.18. Find P(A | B).P(A) = 0.41, P(B) = 0.31 and P(A and B) = 0.18. Find P(A | B).P(A) = 0.43, P(B) = 0.28 and P(A and B) = 0.19. Find P(A | B).P(A) = 0.50, P(B) = 0.23 and P(A and B) = 0.14. Find P(A | B).P(A) = 0.44, P(B) = 0.22 and P(A and B) = 0.16. Find P(A | B).P(A) = 0.65, P(B) = 0.25 and P(A and B) = 0.10. Find P(A | B).P(A) = 0.58, P(B) = 0.29 and P(A and B) = 0.15. Find P(A | B).P(A) = 0.40, P(B) = 0.35 and P(A and B) = 0.14. Find P(A | B).P(A) = 0.50, P(B) = 0.32 and P(A and B) = 0.17. Find P(A | B).P(A) = 0.43, P(B) = 0.29 and P(A and B) = 0.12. Find P(A | B).P(A) = 0.65, P(B) = 0.34 and P(A and B) = 0.5. Find P(A | B).P(A) = 0.44, P(B) = 0.35 and P(A and B) = 0.17. Find P(A | B).P(A) = 0.61, P(B) = 0.26 and P(A and B) = 0.10. Find P(A | B).P(A) = 0.49, P(B) = 0.20 and P(A and B) = 0.16. Find P(A | B).P(A) = 0.47, P(B) = 0.21 and P(A and B) = 0.12. Find P(A | B).P(A) = 0.68, P(B) = 0.23 and P(A and B) = 0.19. Find P(A | B).P(A) = 0.56, P(B) = 0.22 and P(A and B) = 0.19. Find P(A | B).P(A) = 0.51, P(B) = 0.31 and P(A and B) = 0.11. Find P(A | B).P(A) = 0.65, P(B) = 0.23 and P(A and B) = 0.13. Find P(A | B).P(A) = 0.59, P(B) = 0.27 and P(A and B) = 0.11. Find P(A | B).P(A) = 0.47, P(B) = 0.21 and P(A and B) = 0.6. Find P(A | B).P(A) = 0.50, P(B) = 0.25 and P(A and B) = 0.15. Find P(A | B).P(A) = 0.41, P(B) = 0.27 and P(A and B) = 0.15. Find P(A | B).
- A test detects a disease in 87% of people who have it. Which statement says the same thing?
- P(positive | disease) = 0.87
- P(disease | positive) = 0.87
- P(disease and positive) = 0.87
A test detects a disease in 85% of people who have it. Which statement says the same thing?- P(positive | disease) = 0.85
- P(disease | positive) = 0.85
- P(disease and positive) = 0.85
A test detects a disease in 82% of people who have it. Which statement says the same thing?- P(positive | disease) = 0.82
- P(disease | positive) = 0.82
- P(disease and positive) = 0.82
A test detects a disease in 86% of people who have it. Which statement says the same thing?- P(positive | disease) = 0.86
- P(disease | positive) = 0.86
- P(disease and positive) = 0.86
A test detects a disease in 89% of people who have it. Which statement says the same thing?- P(positive | disease) = 0.89
- P(disease | positive) = 0.89
- P(disease and positive) = 0.89
A test detects a disease in 97% of people who have it. Which statement says the same thing?- P(positive | disease) = 0.97
- P(disease | positive) = 0.97
- P(disease and positive) = 0.97
A test detects a disease in 95% of people who have it. Which statement says the same thing?- P(positive | disease) = 0.95
- P(disease | positive) = 0.95
- P(disease and positive) = 0.95
A test detects a disease in 94% of people who have it. Which statement says the same thing?- P(positive | disease) = 0.94
- P(disease | positive) = 0.94
- P(disease and positive) = 0.94
A test detects a disease in 93% of people who have it. Which statement says the same thing?- P(positive | disease) = 0.93
- P(disease | positive) = 0.93
- P(disease and positive) = 0.93
A test detects a disease in 83% of people who have it. Which statement says the same thing?- P(positive | disease) = 0.83
- P(disease | positive) = 0.83
- P(disease and positive) = 0.83
A test detects a disease in 91% of people who have it. Which statement says the same thing?- P(positive | disease) = 0.91
- P(disease | positive) = 0.91
- P(disease and positive) = 0.91
A test detects a disease in 88% of people who have it. Which statement says the same thing?- P(positive | disease) = 0.88
- P(disease | positive) = 0.88
- P(disease and positive) = 0.88
A test detects a disease in 96% of people who have it. Which statement says the same thing?- P(positive | disease) = 0.96
- P(disease | positive) = 0.96
- P(disease and positive) = 0.96
A test detects a disease in 90% of people who have it. Which statement says the same thing?- P(positive | disease) = 0.90
- P(disease | positive) = 0.90
- P(disease and positive) = 0.90
A test detects a disease in 81% of people who have it. Which statement says the same thing?- P(positive | disease) = 0.81
- P(disease | positive) = 0.81
- P(disease and positive) = 0.81
A test detects a disease in 92% of people who have it. Which statement says the same thing?- P(positive | disease) = 0.92
- P(disease | positive) = 0.92
- P(disease and positive) = 0.92
A test detects a disease in 80% of people who have it. Which statement says the same thing?- P(positive | disease) = 0.80
- P(disease | positive) = 0.80
- P(disease and positive) = 0.80
A test detects a disease in 98% of people who have it. Which statement says the same thing?- P(positive | disease) = 0.98
- P(disease | positive) = 0.98
- P(disease and positive) = 0.98
A test detects a disease in 84% of people who have it. Which statement says the same thing?- P(positive | disease) = 0.84
- P(disease | positive) = 0.84
- P(disease and positive) = 0.84
A test detects a disease in 99% of people who have it. Which statement says the same thing?- P(positive | disease) = 0.99
- P(disease | positive) = 0.99
- P(disease and positive) = 0.99
- Two independent machines fail with probabilities 0.8 and 0.7. Find the probability that both fail.Two independent machines fail with probabilities 0.7 and 0.4. Find the probability that both fail.Two independent machines fail with probabilities 0.3 and 0.5. Find the probability that both fail.Two independent machines fail with probabilities 0.3 and 0.6. Find the probability that both fail.Two independent machines fail with probabilities 0.2 and 0.6. Find the probability that both fail.Two independent machines fail with probabilities 0.6 and 0.8. Find the probability that both fail.Two independent machines fail with probabilities 0.9 and 0.4. Find the probability that both fail.Two independent machines fail with probabilities 0.5 and 0.7. Find the probability that both fail.Two independent machines fail with probabilities 0.7 and 0.8. Find the probability that both fail.Two independent machines fail with probabilities 0.3 and 0.2. Find the probability that both fail.Two independent machines fail with probabilities 0.7 and 0.9. Find the probability that both fail.Two independent machines fail with probabilities 0.6 and 0.2. Find the probability that both fail.Two independent machines fail with probabilities 0.7 and 0.3. Find the probability that both fail.Two independent machines fail with probabilities 0.8 and 0.5. Find the probability that both fail.Two independent machines fail with probabilities 0.5 and 0.5. Find the probability that both fail.Two independent machines fail with probabilities 0.2 and 0.2. Find the probability that both fail.Two independent machines fail with probabilities 0.8 and 0.8. Find the probability that both fail.Two independent machines fail with probabilities 0.4 and 0.9. Find the probability that both fail.Two independent machines fail with probabilities 0.2 and 0.3. Find the probability that both fail.Two independent machines fail with probabilities 0.5 and 0.3. Find the probability that both fail.Two independent machines fail with probabilities 0.3 and 0.8. Find the probability that both fail.Two independent machines fail with probabilities 0.6 and 0.5. Find the probability that both fail.Two independent machines fail with probabilities 0.4 and 0.5. Find the probability that both fail.Two independent machines fail with probabilities 0.4 and 0.6. Find the probability that both fail.Two independent machines fail with probabilities 0.5 and 0.9. Find the probability that both fail.Two independent machines fail with probabilities 0.7 and 0.6. Find the probability that both fail.Two independent machines fail with probabilities 0.3 and 0.4. Find the probability that both fail.Two independent machines fail with probabilities 0.9 and 0.5. Find the probability that both fail.Two independent machines fail with probabilities 0.5 and 0.4. Find the probability that both fail.Two independent machines fail with probabilities 0.7 and 0.5. Find the probability that both fail.Two independent machines fail with probabilities 0.8 and 0.3. Find the probability that both fail.Two independent machines fail with probabilities 0.2 and 0.4. Find the probability that both fail.Two independent machines fail with probabilities 0.6 and 0.9. Find the probability that both fail.Two independent machines fail with probabilities 0.9 and 0.8. Find the probability that both fail.Two independent machines fail with probabilities 0.5 and 0.2. Find the probability that both fail.Two independent machines fail with probabilities 0.9 and 0.2. Find the probability that both fail.Two independent machines fail with probabilities 0.3 and 0.3. Find the probability that both fail.Two independent machines fail with probabilities 0.8 and 0.9. Find the probability that both fail.Two independent machines fail with probabilities 0.6 and 0.7. Find the probability that both fail.Two independent machines fail with probabilities 0.7 and 0.2. Find the probability that both fail.Two independent machines fail with probabilities 0.8 and 0.4. Find the probability that both fail.Two independent machines fail with probabilities 0.2 and 0.8. Find the probability that both fail.Two independent machines fail with probabilities 0.9 and 0.7. Find the probability that both fail.Two independent machines fail with probabilities 0.3 and 0.9. Find the probability that both fail.Two independent machines fail with probabilities 0.4 and 0.7. Find the probability that both fail.Two independent machines fail with probabilities 0.8 and 0.2. Find the probability that both fail.Two independent machines fail with probabilities 0.2 and 0.9. Find the probability that both fail.Two independent machines fail with probabilities 0.5 and 0.8. Find the probability that both fail.Two independent machines fail with probabilities 0.6 and 0.3. Find the probability that both fail.Two independent machines fail with probabilities 0.4 and 0.4. Find the probability that both fail.
- P(A) = 3/10, P(B) = 6/10 and P(A and B) = 18/100. Are A and B independent?
- Yes: P(A and B) = P(A)·P(B)
- No, because P(A and B) > 0
- It cannot be decided
P(A) = 5/10, P(B) = 8/10 and P(A and B) = 40/100. Are A and B independent?- Yes: P(A and B) = P(A)·P(B)
- No, because P(A and B) > 0
- It cannot be decided
P(A) = 8/10, P(B) = 8/10 and P(A and B) = 64/100. Are A and B independent?- Yes: P(A and B) = P(A)·P(B)
- No, because P(A and B) > 0
- It cannot be decided
P(A) = 8/10, P(B) = 5/10 and P(A and B) = 40/100. Are A and B independent?- Yes: P(A and B) = P(A)·P(B)
- No, because P(A and B) > 0
- It cannot be decided
P(A) = 3/10, P(B) = 3/10 and P(A and B) = 9/100. Are A and B independent?- Yes: P(A and B) = P(A)·P(B)
- No, because P(A and B) > 0
- It cannot be decided
P(A) = 4/10, P(B) = 8/10 and P(A and B) = 32/100. Are A and B independent?- Yes: P(A and B) = P(A)·P(B)
- No, because P(A and B) > 0
- It cannot be decided
P(A) = 2/10, P(B) = 2/10 and P(A and B) = 4/100. Are A and B independent?- Yes: P(A and B) = P(A)·P(B)
- No, because P(A and B) > 0
- It cannot be decided
P(A) = 2/10, P(B) = 5/10 and P(A and B) = 10/100. Are A and B independent?- Yes: P(A and B) = P(A)·P(B)
- No, because P(A and B) > 0
- It cannot be decided
P(A) = 5/10, P(B) = 4/10 and P(A and B) = 20/100. Are A and B independent?- Yes: P(A and B) = P(A)·P(B)
- No, because P(A and B) > 0
- It cannot be decided
P(A) = 2/10, P(B) = 4/10 and P(A and B) = 8/100. Are A and B independent?- Yes: P(A and B) = P(A)·P(B)
- No, because P(A and B) > 0
- It cannot be decided
P(A) = 4/10, P(B) = 6/10 and P(A and B) = 24/100. Are A and B independent?- Yes: P(A and B) = P(A)·P(B)
- No, because P(A and B) > 0
- It cannot be decided
P(A) = 8/10, P(B) = 7/10 and P(A and B) = 56/100. Are A and B independent?- Yes: P(A and B) = P(A)·P(B)
- No, because P(A and B) > 0
- It cannot be decided
P(A) = 5/10, P(B) = 3/10 and P(A and B) = 15/100. Are A and B independent?- Yes: P(A and B) = P(A)·P(B)
- No, because P(A and B) > 0
- It cannot be decided
P(A) = 7/10, P(B) = 5/10 and P(A and B) = 35/100. Are A and B independent?- Yes: P(A and B) = P(A)·P(B)
- No, because P(A and B) > 0
- It cannot be decided
P(A) = 5/10, P(B) = 7/10 and P(A and B) = 35/100. Are A and B independent?- Yes: P(A and B) = P(A)·P(B)
- No, because P(A and B) > 0
- It cannot be decided
P(A) = 3/10, P(B) = 2/10 and P(A and B) = 6/100. Are A and B independent?- Yes: P(A and B) = P(A)·P(B)
- No, because P(A and B) > 0
- It cannot be decided
P(A) = 4/10, P(B) = 5/10 and P(A and B) = 20/100. Are A and B independent?- Yes: P(A and B) = P(A)·P(B)
- No, because P(A and B) > 0
- It cannot be decided
P(A) = 6/10, P(B) = 2/10 and P(A and B) = 12/100. Are A and B independent?- Yes: P(A and B) = P(A)·P(B)
- No, because P(A and B) > 0
- It cannot be decided
P(A) = 3/10, P(B) = 7/10 and P(A and B) = 21/100. Are A and B independent?- Yes: P(A and B) = P(A)·P(B)
- No, because P(A and B) > 0
- It cannot be decided
P(A) = 3/10, P(B) = 4/10 and P(A and B) = 12/100. Are A and B independent?- Yes: P(A and B) = P(A)·P(B)
- No, because P(A and B) > 0
- It cannot be decided
P(A) = 6/10, P(B) = 7/10 and P(A and B) = 42/100. Are A and B independent?- Yes: P(A and B) = P(A)·P(B)
- No, because P(A and B) > 0
- It cannot be decided
P(A) = 4/10, P(B) = 2/10 and P(A and B) = 8/100. Are A and B independent?- Yes: P(A and B) = P(A)·P(B)
- No, because P(A and B) > 0
- It cannot be decided
P(A) = 6/10, P(B) = 6/10 and P(A and B) = 36/100. Are A and B independent?- Yes: P(A and B) = P(A)·P(B)
- No, because P(A and B) > 0
- It cannot be decided
P(A) = 7/10, P(B) = 8/10 and P(A and B) = 56/100. Are A and B independent?- Yes: P(A and B) = P(A)·P(B)
- No, because P(A and B) > 0
- It cannot be decided
P(A) = 6/10, P(B) = 5/10 and P(A and B) = 30/100. Are A and B independent?- Yes: P(A and B) = P(A)·P(B)
- No, because P(A and B) > 0
- It cannot be decided
P(A) = 8/10, P(B) = 6/10 and P(A and B) = 48/100. Are A and B independent?- Yes: P(A and B) = P(A)·P(B)
- No, because P(A and B) > 0
- It cannot be decided
P(A) = 6/10, P(B) = 8/10 and P(A and B) = 48/100. Are A and B independent?- Yes: P(A and B) = P(A)·P(B)
- No, because P(A and B) > 0
- It cannot be decided
P(A) = 2/10, P(B) = 8/10 and P(A and B) = 16/100. Are A and B independent?- Yes: P(A and B) = P(A)·P(B)
- No, because P(A and B) > 0
- It cannot be decided
P(A) = 2/10, P(B) = 6/10 and P(A and B) = 12/100. Are A and B independent?- Yes: P(A and B) = P(A)·P(B)
- No, because P(A and B) > 0
- It cannot be decided
P(A) = 6/10, P(B) = 4/10 and P(A and B) = 24/100. Are A and B independent?- Yes: P(A and B) = P(A)·P(B)
- No, because P(A and B) > 0
- It cannot be decided
P(A) = 7/10, P(B) = 7/10 and P(A and B) = 49/100. Are A and B independent?- Yes: P(A and B) = P(A)·P(B)
- No, because P(A and B) > 0
- It cannot be decided
P(A) = 5/10, P(B) = 2/10 and P(A and B) = 10/100. Are A and B independent?- Yes: P(A and B) = P(A)·P(B)
- No, because P(A and B) > 0
- It cannot be decided
P(A) = 7/10, P(B) = 6/10 and P(A and B) = 42/100. Are A and B independent?- Yes: P(A and B) = P(A)·P(B)
- No, because P(A and B) > 0
- It cannot be decided
P(A) = 5/10, P(B) = 5/10 and P(A and B) = 25/100. Are A and B independent?- Yes: P(A and B) = P(A)·P(B)
- No, because P(A and B) > 0
- It cannot be decided
P(A) = 2/10, P(B) = 3/10 and P(A and B) = 6/100. Are A and B independent?- Yes: P(A and B) = P(A)·P(B)
- No, because P(A and B) > 0
- It cannot be decided
P(A) = 7/10, P(B) = 4/10 and P(A and B) = 28/100. Are A and B independent?- Yes: P(A and B) = P(A)·P(B)
- No, because P(A and B) > 0
- It cannot be decided
P(A) = 4/10, P(B) = 3/10 and P(A and B) = 12/100. Are A and B independent?- Yes: P(A and B) = P(A)·P(B)
- No, because P(A and B) > 0
- It cannot be decided
P(A) = 8/10, P(B) = 2/10 and P(A and B) = 16/100. Are A and B independent?- Yes: P(A and B) = P(A)·P(B)
- No, because P(A and B) > 0
- It cannot be decided
P(A) = 7/10, P(B) = 2/10 and P(A and B) = 14/100. Are A and B independent?- Yes: P(A and B) = P(A)·P(B)
- No, because P(A and B) > 0
- It cannot be decided
P(A) = 7/10, P(B) = 3/10 and P(A and B) = 21/100. Are A and B independent?- Yes: P(A and B) = P(A)·P(B)
- No, because P(A and B) > 0
- It cannot be decided
P(A) = 3/10, P(B) = 8/10 and P(A and B) = 24/100. Are A and B independent?- Yes: P(A and B) = P(A)·P(B)
- No, because P(A and B) > 0
- It cannot be decided
P(A) = 5/10, P(B) = 6/10 and P(A and B) = 30/100. Are A and B independent?- Yes: P(A and B) = P(A)·P(B)
- No, because P(A and B) > 0
- It cannot be decided
P(A) = 2/10, P(B) = 7/10 and P(A and B) = 14/100. Are A and B independent?- Yes: P(A and B) = P(A)·P(B)
- No, because P(A and B) > 0
- It cannot be decided
P(A) = 6/10, P(B) = 3/10 and P(A and B) = 18/100. Are A and B independent?- Yes: P(A and B) = P(A)·P(B)
- No, because P(A and B) > 0
- It cannot be decided
P(A) = 4/10, P(B) = 4/10 and P(A and B) = 16/100. Are A and B independent?- Yes: P(A and B) = P(A)·P(B)
- No, because P(A and B) > 0
- It cannot be decided
P(A) = 8/10, P(B) = 3/10 and P(A and B) = 24/100. Are A and B independent?- Yes: P(A and B) = P(A)·P(B)
- No, because P(A and B) > 0
- It cannot be decided
P(A) = 8/10, P(B) = 4/10 and P(A and B) = 32/100. Are A and B independent?- Yes: P(A and B) = P(A)·P(B)
- No, because P(A and B) > 0
- It cannot be decided
P(A) = 3/10, P(B) = 5/10 and P(A and B) = 15/100. Are A and B independent?- Yes: P(A and B) = P(A)·P(B)
- No, because P(A and B) > 0
- It cannot be decided
P(A) = 4/10, P(B) = 7/10 and P(A and B) = 28/100. Are A and B independent?- Yes: P(A and B) = P(A)·P(B)
- No, because P(A and B) > 0
- It cannot be decided
- A bag has 5 red and 3 blue marbles. Two are drawn without replacement. Find P(both red).A bag has 6 red and 7 blue marbles. Two are drawn without replacement. Find P(both red).A bag has 7 red and 7 blue marbles. Two are drawn without replacement. Find P(both red).A bag has 8 red and 4 blue marbles. Two are drawn without replacement. Find P(both red).A bag has 5 red and 8 blue marbles. Two are drawn without replacement. Find P(both red).A bag has 8 red and 9 blue marbles. Two are drawn without replacement. Find P(both red).A bag has 9 red and 7 blue marbles. Two are drawn without replacement. Find P(both red).A bag has 3 red and 6 blue marbles. Two are drawn without replacement. Find P(both red).A bag has 9 red and 3 blue marbles. Two are drawn without replacement. Find P(both red).A bag has 5 red and 4 blue marbles. Two are drawn without replacement. Find P(both red).A bag has 3 red and 4 blue marbles. Two are drawn without replacement. Find P(both red).A bag has 6 red and 6 blue marbles. Two are drawn without replacement. Find P(both red).A bag has 4 red and 8 blue marbles. Two are drawn without replacement. Find P(both red).A bag has 7 red and 8 blue marbles. Two are drawn without replacement. Find P(both red).A bag has 7 red and 6 blue marbles. Two are drawn without replacement. Find P(both red).A bag has 4 red and 6 blue marbles. Two are drawn without replacement. Find P(both red).A bag has 9 red and 4 blue marbles. Two are drawn without replacement. Find P(both red).A bag has 6 red and 8 blue marbles. Two are drawn without replacement. Find P(both red).A bag has 8 red and 8 blue marbles. Two are drawn without replacement. Find P(both red).A bag has 9 red and 9 blue marbles. Two are drawn without replacement. Find P(both red).A bag has 7 red and 9 blue marbles. Two are drawn without replacement. Find P(both red).A bag has 3 red and 3 blue marbles. Two are drawn without replacement. Find P(both red).A bag has 7 red and 4 blue marbles. Two are drawn without replacement. Find P(both red).A bag has 5 red and 6 blue marbles. Two are drawn without replacement. Find P(both red).A bag has 4 red and 7 blue marbles. Two are drawn without replacement. Find P(both red).A bag has 7 red and 3 blue marbles. Two are drawn without replacement. Find P(both red).A bag has 7 red and 5 blue marbles. Two are drawn without replacement. Find P(both red).A bag has 6 red and 5 blue marbles. Two are drawn without replacement. Find P(both red).A bag has 5 red and 7 blue marbles. Two are drawn without replacement. Find P(both red).A bag has 4 red and 5 blue marbles. Two are drawn without replacement. Find P(both red).A bag has 9 red and 8 blue marbles. Two are drawn without replacement. Find P(both red).A bag has 4 red and 4 blue marbles. Two are drawn without replacement. Find P(both red).A bag has 4 red and 3 blue marbles. Two are drawn without replacement. Find P(both red).A bag has 5 red and 9 blue marbles. Two are drawn without replacement. Find P(both red).A bag has 8 red and 7 blue marbles. Two are drawn without replacement. Find P(both red).A bag has 6 red and 4 blue marbles. Two are drawn without replacement. Find P(both red).A bag has 3 red and 8 blue marbles. Two are drawn without replacement. Find P(both red).A bag has 8 red and 6 blue marbles. Two are drawn without replacement. Find P(both red).A bag has 3 red and 7 blue marbles. Two are drawn without replacement. Find P(both red).A bag has 5 red and 5 blue marbles. Two are drawn without replacement. Find P(both red).A bag has 3 red and 5 blue marbles. Two are drawn without replacement. Find P(both red).A bag has 6 red and 9 blue marbles. Two are drawn without replacement. Find P(both red).A bag has 8 red and 5 blue marbles. Two are drawn without replacement. Find P(both red).A bag has 8 red and 3 blue marbles. Two are drawn without replacement. Find P(both red).A bag has 9 red and 6 blue marbles. Two are drawn without replacement. Find P(both red).A bag has 9 red and 5 blue marbles. Two are drawn without replacement. Find P(both red).A bag has 4 red and 9 blue marbles. Two are drawn without replacement. Find P(both red).A bag has 3 red and 9 blue marbles. Two are drawn without replacement. Find P(both red).A bag has 6 red and 3 blue marbles. Two are drawn without replacement. Find P(both red).
- 12% of a population has a condition. A test is positive for 86% of people with the condition and for 11% of people without it. Find P(positive).14% of a population has a condition. A test is positive for 94% of people with the condition and for 8% of people without it. Find P(positive).28% of a population has a condition. A test is positive for 95% of people with the condition and for 14% of people without it. Find P(positive).7% of a population has a condition. A test is positive for 85% of people with the condition and for 6% of people without it. Find P(positive).17% of a population has a condition. A test is positive for 90% of people with the condition and for 14% of people without it. Find P(positive).22% of a population has a condition. A test is positive for 87% of people with the condition and for 7% of people without it. Find P(positive).27% of a population has a condition. A test is positive for 80% of people with the condition and for 6% of people without it. Find P(positive).5% of a population has a condition. A test is positive for 92% of people with the condition and for 11% of people without it. Find P(positive).29% of a population has a condition. A test is positive for 83% of people with the condition and for 7% of people without it. Find P(positive).19% of a population has a condition. A test is positive for 80% of people with the condition and for 8% of people without it. Find P(positive).16% of a population has a condition. A test is positive for 84% of people with the condition and for 5% of people without it. Find P(positive).25% of a population has a condition. A test is positive for 91% of people with the condition and for 9% of people without it. Find P(positive).21% of a population has a condition. A test is positive for 94% of people with the condition and for 12% of people without it. Find P(positive).29% of a population has a condition. A test is positive for 95% of people with the condition and for 9% of people without it. Find P(positive).27% of a population has a condition. A test is positive for 91% of people with the condition and for 6% of people without it. Find P(positive).10% of a population has a condition. A test is positive for 85% of people with the condition and for 7% of people without it. Find P(positive).30% of a population has a condition. A test is positive for 87% of people with the condition and for 9% of people without it. Find P(positive).14% of a population has a condition. A test is positive for 90% of people with the condition and for 11% of people without it. Find P(positive).23% of a population has a condition. A test is positive for 81% of people with the condition and for 9% of people without it. Find P(positive).18% of a population has a condition. A test is positive for 83% of people with the condition and for 12% of people without it. Find P(positive).21% of a population has a condition. A test is positive for 82% of people with the condition and for 10% of people without it. Find P(positive).11% of a population has a condition. A test is positive for 89% of people with the condition and for 15% of people without it. Find P(positive).9% of a population has a condition. A test is positive for 93% of people with the condition and for 6% of people without it. Find P(positive).25% of a population has a condition. A test is positive for 83% of people with the condition and for 9% of people without it. Find P(positive).13% of a population has a condition. A test is positive for 82% of people with the condition and for 7% of people without it. Find P(positive).14% of a population has a condition. A test is positive for 91% of people with the condition and for 8% of people without it. Find P(positive).24% of a population has a condition. A test is positive for 89% of people with the condition and for 10% of people without it. Find P(positive).13% of a population has a condition. A test is positive for 86% of people with the condition and for 13% of people without it. Find P(positive).24% of a population has a condition. A test is positive for 86% of people with the condition and for 6% of people without it. Find P(positive).5% of a population has a condition. A test is positive for 94% of people with the condition and for 9% of people without it. Find P(positive).23% of a population has a condition. A test is positive for 90% of people with the condition and for 11% of people without it. Find P(positive).9% of a population has a condition. A test is positive for 93% of people with the condition and for 10% of people without it. Find P(positive).9% of a population has a condition. A test is positive for 85% of people with the condition and for 7% of people without it. Find P(positive).8% of a population has a condition. A test is positive for 89% of people with the condition and for 13% of people without it. Find P(positive).26% of a population has a condition. A test is positive for 85% of people with the condition and for 13% of people without it. Find P(positive).17% of a population has a condition. A test is positive for 89% of people with the condition and for 9% of people without it. Find P(positive).13% of a population has a condition. A test is positive for 80% of people with the condition and for 9% of people without it. Find P(positive).8% of a population has a condition. A test is positive for 90% of people with the condition and for 7% of people without it. Find P(positive).12% of a population has a condition. A test is positive for 88% of people with the condition and for 15% of people without it. Find P(positive).23% of a population has a condition. A test is positive for 91% of people with the condition and for 7% of people without it. Find P(positive).9% of a population has a condition. A test is positive for 85% of people with the condition and for 11% of people without it. Find P(positive).20% of a population has a condition. A test is positive for 89% of people with the condition and for 12% of people without it. Find P(positive).12% of a population has a condition. A test is positive for 91% of people with the condition and for 10% of people without it. Find P(positive).5% of a population has a condition. A test is positive for 87% of people with the condition and for 6% of people without it. Find P(positive).5% of a population has a condition. A test is positive for 94% of people with the condition and for 7% of people without it. Find P(positive).15% of a population has a condition. A test is positive for 88% of people with the condition and for 9% of people without it. Find P(positive).23% of a population has a condition. A test is positive for 80% of people with the condition and for 5% of people without it. Find P(positive).12% of a population has a condition. A test is positive for 83% of people with the condition and for 8% of people without it. Find P(positive).8% of a population has a condition. A test is positive for 81% of people with the condition and for 15% of people without it. Find P(positive).20% of a population has a condition. A test is positive for 80% of people with the condition and for 15% of people without it. Find P(positive).
- 22% of a population has a condition. A test is positive for 81% of people with the condition and for 12% of people without it. Find P(condition | positive).12% of a population has a condition. A test is positive for 87% of people with the condition and for 13% of people without it. Find P(condition | positive).25% of a population has a condition. A test is positive for 83% of people with the condition and for 12% of people without it. Find P(condition | positive).13% of a population has a condition. A test is positive for 89% of people with the condition and for 9% of people without it. Find P(condition | positive).15% of a population has a condition. A test is positive for 81% of people with the condition and for 15% of people without it. Find P(condition | positive).17% of a population has a condition. A test is positive for 92% of people with the condition and for 13% of people without it. Find P(condition | positive).14% of a population has a condition. A test is positive for 86% of people with the condition and for 14% of people without it. Find P(condition | positive).23% of a population has a condition. A test is positive for 93% of people with the condition and for 6% of people without it. Find P(condition | positive).9% of a population has a condition. A test is positive for 95% of people with the condition and for 15% of people without it. Find P(condition | positive).25% of a population has a condition. A test is positive for 85% of people with the condition and for 13% of people without it. Find P(condition | positive).20% of a population has a condition. A test is positive for 87% of people with the condition and for 11% of people without it. Find P(condition | positive).25% of a population has a condition. A test is positive for 95% of people with the condition and for 13% of people without it. Find P(condition | positive).24% of a population has a condition. A test is positive for 92% of people with the condition and for 6% of people without it. Find P(condition | positive).27% of a population has a condition. A test is positive for 95% of people with the condition and for 9% of people without it. Find P(condition | positive).24% of a population has a condition. A test is positive for 84% of people with the condition and for 8% of people without it. Find P(condition | positive).8% of a population has a condition. A test is positive for 80% of people with the condition and for 5% of people without it. Find P(condition | positive).7% of a population has a condition. A test is positive for 88% of people with the condition and for 14% of people without it. Find P(condition | positive).18% of a population has a condition. A test is positive for 85% of people with the condition and for 15% of people without it. Find P(condition | positive).28% of a population has a condition. A test is positive for 88% of people with the condition and for 13% of people without it. Find P(condition | positive).10% of a population has a condition. A test is positive for 86% of people with the condition and for 9% of people without it. Find P(condition | positive).23% of a population has a condition. A test is positive for 85% of people with the condition and for 13% of people without it. Find P(condition | positive).29% of a population has a condition. A test is positive for 94% of people with the condition and for 13% of people without it. Find P(condition | positive).19% of a population has a condition. A test is positive for 82% of people with the condition and for 9% of people without it. Find P(condition | positive).29% of a population has a condition. A test is positive for 87% of people with the condition and for 5% of people without it. Find P(condition | positive).25% of a population has a condition. 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A test is positive for 91% of people with the condition and for 15% of people without it. Find P(condition | positive).15% of a population has a condition. A test is positive for 81% of people with the condition and for 12% of people without it. Find P(condition | positive).24% of a population has a condition. A test is positive for 82% of people with the condition and for 12% of people without it. Find P(condition | positive).30% of a population has a condition. A test is positive for 85% of people with the condition and for 14% of people without it. Find P(condition | positive).27% of a population has a condition. A test is positive for 83% of people with the condition and for 13% of people without it. Find P(condition | positive).23% of a population has a condition. A test is positive for 88% of people with the condition and for 14% of people without it. Find P(condition | positive).15% of a population has a condition. A test is positive for 87% of people with the condition and for 6% of people without it. Find P(condition | positive).18% of a population has a condition. A test is positive for 84% of people with the condition and for 8% of people without it. Find P(condition | positive).11% of a population has a condition. A test is positive for 91% of people with the condition and for 6% of people without it. Find P(condition | positive).25% of a population has a condition. A test is positive for 92% of people with the condition and for 5% of people without it. Find P(condition | positive).17% of a population has a condition. A test is positive for 88% of people with the condition and for 7% of people without it. Find P(condition | positive).22% of a population has a condition. A test is positive for 82% of people with the condition and for 11% of people without it. Find P(condition | positive).30% of a population has a condition. 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- A disease affects 1 in 1,000 people. A test is 93% accurate for both sick and healthy people. Your test is positive. What is most likely?
- You are still more likely healthy: false positives from the many healthy people outnumber the true positives
- You are about 93% likely to be sick
- You are certainly sick
A disease affects 1 in 1,000 people. A test is 99% accurate for both sick and healthy people. Your test is positive. What is most likely?- You are still more likely healthy: false positives from the many healthy people outnumber the true positives
- You are about 99% likely to be sick
- You are certainly sick
A disease affects 1 in 1,000 people. A test is 95% accurate for both sick and healthy people. Your test is positive. What is most likely?- You are still more likely healthy: false positives from the many healthy people outnumber the true positives
- You are about 95% likely to be sick
- You are certainly sick
A disease affects 1 in 1,000 people. A test is 98% accurate for both sick and healthy people. Your test is positive. What is most likely?- You are still more likely healthy: false positives from the many healthy people outnumber the true positives
- You are about 98% likely to be sick
- You are certainly sick
A disease affects 1 in 1,000 people. A test is 97% accurate for both sick and healthy people. Your test is positive. What is most likely?- You are still more likely healthy: false positives from the many healthy people outnumber the true positives
- You are about 97% likely to be sick
- You are certainly sick
A disease affects 1 in 1,000 people. A test is 92% accurate for both sick and healthy people. Your test is positive. What is most likely?- You are still more likely healthy: false positives from the many healthy people outnumber the true positives
- You are about 92% likely to be sick
- You are certainly sick
A disease affects 1 in 1,000 people. A test is 91% accurate for both sick and healthy people. Your test is positive. What is most likely?- You are still more likely healthy: false positives from the many healthy people outnumber the true positives
- You are about 91% likely to be sick
- You are certainly sick
A disease affects 1 in 1,000 people. A test is 96% accurate for both sick and healthy people. Your test is positive. What is most likely?- You are still more likely healthy: false positives from the many healthy people outnumber the true positives
- You are about 96% likely to be sick
- You are certainly sick
A disease affects 1 in 1,000 people. A test is 90% accurate for both sick and healthy people. Your test is positive. What is most likely?- You are still more likely healthy: false positives from the many healthy people outnumber the true positives
- You are about 90% likely to be sick
- You are certainly sick
A disease affects 1 in 1,000 people. A test is 94% accurate for both sick and healthy people. Your test is positive. What is most likely?- You are still more likely healthy: false positives from the many healthy people outnumber the true positives
- You are about 94% likely to be sick
- You are certainly sick
- A fair coin lands heads 7 times in a row. What is the probability of heads on the next toss?
- 1/2: the coin has no memory
- Less than 1/2: tails is due
- More than 1/2: heads is on a streak
A fair coin lands heads 5 times in a row. What is the probability of heads on the next toss?- 1/2: the coin has no memory
- Less than 1/2: tails is due
- More than 1/2: heads is on a streak
A fair coin lands heads 10 times in a row. What is the probability of heads on the next toss?- 1/2: the coin has no memory
- Less than 1/2: tails is due
- More than 1/2: heads is on a streak
A fair coin lands heads 6 times in a row. What is the probability of heads on the next toss?- 1/2: the coin has no memory
- Less than 1/2: tails is due
- More than 1/2: heads is on a streak
A fair coin lands heads 8 times in a row. What is the probability of heads on the next toss?- 1/2: the coin has no memory
- Less than 1/2: tails is due
- More than 1/2: heads is on a streak
A fair coin lands heads 9 times in a row. What is the probability of heads on the next toss?- 1/2: the coin has no memory
- Less than 1/2: tails is due
- More than 1/2: heads is on a streak
- What does it mean that the probability of rain tomorrow is 0.7?
- On many days like tomorrow, it rains on about 70% of them
- It will rain for 70% of the day
- It will rain if the probability is above 0.5
What does it mean that the probability of rain tomorrow is 0.3?- On many days like tomorrow, it rains on about 30% of them
- It will rain for 30% of the day
- It will rain if the probability is above 0.5
What does it mean that the probability of rain tomorrow is 0.8?- On many days like tomorrow, it rains on about 80% of them
- It will rain for 80% of the day
- It will rain if the probability is above 0.5
What does it mean that the probability of rain tomorrow is 0.2?- On many days like tomorrow, it rains on about 20% of them
- It will rain for 20% of the day
- It will rain if the probability is above 0.5
What does it mean that the probability of rain tomorrow is 0.6?- On many days like tomorrow, it rains on about 60% of them
- It will rain for 60% of the day
- It will rain if the probability is above 0.5
What does it mean that the probability of rain tomorrow is 0.5?- On many days like tomorrow, it rains on about 50% of them
- It will rain for 50% of the day
- It will rain if the probability is above 0.5
What does it mean that the probability of rain tomorrow is 0.4?- On many days like tomorrow, it rains on about 40% of them
- It will rain for 40% of the day
- It will rain if the probability is above 0.5
- To simulate a free throw made with probability 0.6 using random digits 0–9, how many of the ten digits should stand for 'made'?To simulate a free throw made with probability 0.4 using random digits 0–9, how many of the ten digits should stand for 'made'?To simulate a free throw made with probability 0.2 using random digits 0–9, how many of the ten digits should stand for 'made'?To simulate a free throw made with probability 0.8 using random digits 0–9, how many of the ten digits should stand for 'made'?To simulate a free throw made with probability 0.9 using random digits 0–9, how many of the ten digits should stand for 'made'?To simulate a free throw made with probability 0.1 using random digits 0–9, how many of the ten digits should stand for 'made'?To simulate a free throw made with probability 0.7 using random digits 0–9, how many of the ten digits should stand for 'made'?To simulate a free throw made with probability 0.3 using random digits 0–9, how many of the ten digits should stand for 'made'?
Answers
- P(positive | disease) = 0.87P(positive | disease) = 0.85P(positive | disease) = 0.82P(positive | disease) = 0.86P(positive | disease) = 0.89P(positive | disease) = 0.97P(positive | disease) = 0.95P(positive | disease) = 0.94P(positive | disease) = 0.93P(positive | disease) = 0.83P(positive | disease) = 0.91P(positive | disease) = 0.88P(positive | disease) = 0.96P(positive | disease) = 0.90P(positive | disease) = 0.81P(positive | disease) = 0.92P(positive | disease) = 0.80P(positive | disease) = 0.98P(positive | disease) = 0.84P(positive | disease) = 0.99
- Yes: P(A and B) = P(A)·P(B)Yes: P(A and B) = P(A)·P(B)Yes: P(A and B) = P(A)·P(B)Yes: P(A and B) = P(A)·P(B)Yes: P(A and B) = P(A)·P(B)Yes: P(A and B) = P(A)·P(B)Yes: P(A and B) = P(A)·P(B)Yes: P(A and B) = P(A)·P(B)Yes: P(A and B) = P(A)·P(B)Yes: P(A and B) = P(A)·P(B)Yes: P(A and B) = P(A)·P(B)Yes: P(A and B) = P(A)·P(B)Yes: P(A and B) = P(A)·P(B)Yes: P(A and B) = P(A)·P(B)Yes: P(A and B) = P(A)·P(B)Yes: P(A and B) = P(A)·P(B)Yes: P(A and B) = P(A)·P(B)Yes: P(A and B) = P(A)·P(B)Yes: P(A and B) = P(A)·P(B)Yes: P(A and B) = P(A)·P(B)Yes: P(A and B) = P(A)·P(B)Yes: P(A and B) = P(A)·P(B)Yes: P(A and B) = P(A)·P(B)Yes: P(A and B) = P(A)·P(B)Yes: P(A and B) = P(A)·P(B)Yes: P(A and B) = P(A)·P(B)Yes: P(A and B) = P(A)·P(B)Yes: P(A and B) = P(A)·P(B)Yes: P(A and B) = P(A)·P(B)Yes: P(A and B) = P(A)·P(B)Yes: P(A and B) = P(A)·P(B)Yes: P(A and B) = P(A)·P(B)Yes: P(A and B) = P(A)·P(B)Yes: P(A and B) = P(A)·P(B)Yes: P(A and B) = P(A)·P(B)Yes: P(A and B) = P(A)·P(B)Yes: P(A and B) = P(A)·P(B)Yes: P(A and B) = P(A)·P(B)Yes: P(A and B) = P(A)·P(B)Yes: P(A and B) = P(A)·P(B)Yes: P(A and B) = P(A)·P(B)Yes: P(A and B) = P(A)·P(B)Yes: P(A and B) = P(A)·P(B)Yes: P(A and B) = P(A)·P(B)Yes: P(A and B) = P(A)·P(B)Yes: P(A and B) = P(A)·P(B)Yes: P(A and B) = P(A)·P(B)Yes: P(A and B) = P(A)·P(B)Yes: P(A and B) = P(A)·P(B)
- You are still more likely healthy: false positives from the many healthy people outnumber the true positivesYou are still more likely healthy: false positives from the many healthy people outnumber the true positivesYou are still more likely healthy: false positives from the many healthy people outnumber the true positivesYou are still more likely healthy: false positives from the many healthy people outnumber the true positivesYou are still more likely healthy: false positives from the many healthy people outnumber the true positivesYou are still more likely healthy: false positives from the many healthy people outnumber the true positivesYou are still more likely healthy: false positives from the many healthy people outnumber the true positivesYou are still more likely healthy: false positives from the many healthy people outnumber the true positivesYou are still more likely healthy: false positives from the many healthy people outnumber the true positivesYou are still more likely healthy: false positives from the many healthy people outnumber the true positives
- 1/2: the coin has no memory1/2: the coin has no memory1/2: the coin has no memory1/2: the coin has no memory1/2: the coin has no memory1/2: the coin has no memory
- On many days like tomorrow, it rains on about 70% of themOn many days like tomorrow, it rains on about 30% of themOn many days like tomorrow, it rains on about 80% of themOn many days like tomorrow, it rains on about 20% of themOn many days like tomorrow, it rains on about 60% of themOn many days like tomorrow, it rains on about 50% of themOn many days like tomorrow, it rains on about 40% of them