It has been reported that men are more likely than women to participate in online auctions. In a recent survey, 65% of responde
nts 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?
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:
