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It is believed that 3 of a clinic s patients have

It is believed that 3% of a clinic’s patients have cancer. A particular blood test yields a positive result for 98% of patients with cancer, but it also shows positive for 4% of patients who do not have cancer. One patient is chosen at random from the clinic’s patient list and is tested. What is the probability that if the test result is positive, the person actually has cancer?

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