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Suppose there is a test for checking the presence of skin cancer. When cancer is present, the test is positive 98.5% of the time

   

Suppose there is a test for checking the presence of skin cancer. When cancer is present, the test is positive 98.5% of the time and negative the other 1.5%. When cancer is not present, the test is positive 3% of the time, and negative the other 97%. Furthermore, the probability of having cancer is 0.8%. If someone receives the test and the result is positive, what is the probability that they have cancer?

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