Question

It has been reported that men are more likely than women to participate in online auctions. In a recent​ survey, 65% of respondents reported that they had participated in an online auction. In this same​ survey, 45% of respondents were men and​ 38% were men who had participated in online auctions. What is the probability that a respondent had participated in an online auction given that he is​ male?

Answer 1

0.84 or 84%

Explanation:

Let 'n' be number of people who took the survey, the number of men who answered the survey is 0.45n. The number of men who answered the survey and have participated in online auctions is 0.38n. Therefore, choosing from the population of men who took the survey (0.45n) the probability that a respondent had participated in an online auction is:

`P =(0.38n)/(0.45n)\\P=0.84`