In a major midwestern university, 55 percent of all undergraduates are female, 25 percent of all undergraduates belong to a Greek organization (fraternity or sorority), and 40 percent of all males belong to a Greek organization. What is the probability that an undergraduate is in a Greek organization, given that the undergraduate is a female?
A) .07
B) .55
C) .127
D) .039
E) 138

Question

Quizplus · Accepted Answer

To complete the contingency table and answer the question on the intersection of female or Greek, since the initial information includes a conditional statement, you need to calculate the intersection of male and Greek: If P(Greek │ Male) = 40%. And 40% of .45 = .18. Then, Female & Greek = .25 − .18 = .07, or 7%. P(Female) = 55%.
P(G|F) = .07/.55 = .127
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In a Major Midwestern University, 55 Percent of All Undergraduates