In a recent survey of local business owners, 40% of the respondents belong to the Rotary Club, 70% belong to the Chamber of Commerce.30% were members of both.If a respondent is selected at random, and it turns out that that person is a member of the Chamber of Commerce, how likely is it that that person is also a member of the Rotary Club?
A).5422
B).6617
C).2500
D).4286
E).3624

Question

Quizplus · Accepted Answer

Given that a person is a member of the Chamber of Commerce, the probability they are also in the Rotary Club is found using the formula for conditional probability. With 30% in both, and 70% in the Chamber of Commerce, the probability is 30%/70% = 42.86%.

In a Recent Survey of Local Business Owners, 40% of the Respondents