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Suppose we have a test for a certain disease. If a person has the disease, the test has 95% chance to be positive. If a

Suppose we have a test for a certain disease. If a person has the disease, the test has 95%

chance to be positive. If a person is healthy, the test has 5% chance to give a false positive

result. We assume that a person has 10% chance to have the disease. Given that the test for

a person is positive, what is the probability that the person has the disease?

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