A personnel director has two lists of applicants for a job, List 1contains the name of 5 women and 2 men,whereas list 2 contains thename of 2 women and 6 men. A name is randomly selected fromlist 1 and added to list 2. A name is then randomly selectedfrom the augmented list 2. Given that the name selected fromlist 2 is that of a man what is the probability that a woman's namewas originally selected from list 1.?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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A personnel director has two lists of applicants for a job, List 1contains the name of 5 women and 2 men,whereas list 2 contains thename of 2 women and 6 men. A name is randomly selected fromlist 1 and added to list 2. A name is then randomly selectedfrom the augmented list 2. Given that the name selected fromlist 2 is that of a man what is the probability that a woman's namewas originally selected from list 1.?

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