If a doctor observes a positive test, what is the probability that a patient has the 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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4. Suppose 1% of the people in California have a certain type of cancer. The state is
considering testing everyone in the state for the cancer. A person with the cancer
has a 95% chance of testing positive. A person without the cancer has a 10%
chance of testing positive. If a doctor observes a positive test, what is the
probability that a patient has the cancer?? 

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