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Question: Cancer testing The study described in Problem also revealed that 91% of the men for whom the PSA test was negative do not have prostate cancer (Source: Journal of the American Medical Association). If a man selected at random tests negative for prostate cancer with this test, what is the probability that he does have prostate cancer?

Problem: Cancer testing a long-term study has revealed that the prostate-specific antigen (PSA) test for prostate cancer in men is very effective. The study shows that 87% of the men for which the test is positive actually have prostate cancer (Source: Journal of the American Medical Association). If a man selected at random tests positive for prostate cancer with this test, what is the probability that he does not have prostate cancer?

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