Assume a person is selected randomly from the group of people represented in the table in Exercise 5.47. 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?

Table in for Exercise 5.47.

Transcribed Image Text:

Female Male All No 45 56 101 Unsure 100 96 196 Yes 577 401 978 All 722 553 1275