Question 67:

Asked on November 6, 2007

1

Answer:

No answer provided yet.This question wants you to think about the multiplication rule of probability. That is, if you want to know the probability of some events occurring together, you multiply all their probabilities. First we find the probability of selecting one man, which is 20/(35+20) or .36 . To find the probability of selecting 5 random winners, and all 5 are men is .36*.36*.36*.36*.36 ( .36 raised to the power of 5) = 0.0060466176 which is a rare event! You can multiply that value by 100 to get a percentage and say that the chances are only .6% that all 5 winners will be men (unless there’s some cheating going on).
See also question 94.