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Question
At State University, 30% of the students are majoring in humanities, 50% in history and culture, and 20% in science. Moreover, according to figures released by the registrar, the percentages of women majoring in humanities, history and culture, and science are 75%, 45%, and 30%, respectively. Suppose Justin meets Anna at a fraternity party. What is the probability that Anna is a history and culture major?
Solution
VerifiedStep 1
1 of 3Let
= Humanities
= History and culture
= Science
=Woman
Given:
Bayes's theorem:
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