A patient is chosen at random from the clinic. what is the, Ask an Expert

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Suppose that 1% of a clinic's patients are known to have Lyme disease. A test is developed that is positive in 99% of patients with Lyme disease, but it is also positive in 3% of patients who do not have the disease. A patient is chosen at random from the clinic. What is the probability that the patient's test comes out positive for Lyme disease?

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