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Suppose the men atending a parcular clinic show a long-term chance of 1 in 100 of having colon cancer. Suppose also that the inial screening
Suppose the men atending a parcular clinic show a long-term chance of 1 in 100 of having colon cancer. Suppose also that the inial screening test used at the clinic has a false posive rate of 0.2 (that is, 20% of men without cancer will test posive for cancer) and that it has a false negave rate of 0.1 (that is, 10% of men with cancer will test negave). The laws of probability dictate from this last fact that the probability of a posive test given cancer is 90%. Now suppose that you are such a man who has just tested posive. What is the probability that you have cancer
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