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A genetic screening test is used to determine whether a patient has a specific type of cancer. The probability of the test coming back positive

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A genetic screening test is used to determine whether a patient has a specific type of cancer. The probability of the test coming back positive when cancer is not present is 0.02, where as the probability of the test coming back positive when cancer is present is 0.9. Suppose 15% of the population has cancer. A person is chosen at random from this population. What is the probability that the person is cancer-free if her test is positive

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