Use the addition rule or the multiplication rule for probability.
-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
Selected at random is female and has never participated in an online auction?
A) 0.62
B) 0.72
C) 0.38
D) 0.28
E) 0.07

Question

Quizplus · Accepted Answer

The probability that a respondent is female and has never participated in an online auction is calculated by subtracting the probability of men who participated in auctions and the probability of women who participated in auctions from 1. The probability of women who participated is 0.65 - 0.38 = 0.27. Therefore, the probability of a female who never participated is 1 - 0.45 - 0.27 = 0.28.

Use the Addition Rule or the Multiplication Rule for Probability