Given a woman has positive mammography, what is the probability she has breast cancer?

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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6. Two percent of woman of age 45 who participate in routine screening
have breast cancer. Ninety percent of those with breast cancer have
positive mammographies. Ten percent of the women who do not have
breast cancer will also have positive mammographies. Given a woman
has positive mammography, what is the probability she has breast cancer?
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