College Poll
Assume a person is selected randomly from the group of people represented in the table in Exercise. The probability that the person says Yes given that the person is a woman is 577>722, or 79.9%.
The probability that the person is a woman given that the person says Yes is 577>978, or 59.0%, and the probability that the person says Yes and is a woman is 577>1275, or 45.3%. Why is the last probability the smallest?
Exercise :
College Poll Again: Is College Worth It?
A person is selected randomly from the men in the group whose responses are summarized in the table. We want to find the probability that a male said Yes. Which of the following statements best describes the problem?
i. P(Yes|Male)
ii. P(Male|Yes)
iii. P(Male AND Yes)