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A patient goes to see a doctor in order to test for a certain disease. For those who have the disease, the test returns a

A patient goes to see a doctor in order to test for a certain disease. For those who have the disease, the test returns a positive 96.4 percent of the time. For those who do not have the disease, the test returns a negative 91.7 percent of the time. It is known that 7.5 percent of the general population do have this disease. If the patient tests positive, what are the chances the patient actually does have the disease?

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