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A pharmaceutical company is testing a new chemical compound that can be used to detect the presence of a disease. In the clinical trial, the company finds that 15% of the patients test positive and the rest test negative. Among the patients who get a positive test result, 95% have the disease. Among the patients who get a negative test result, only 1% have the disease.
Given that a patient has the disease, what is the probability that this patient tests positive?
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