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Suppose 5% of athletes at the Olympic games dope, i.e., use performance enhancing drugs. The International...

Suppose 5% of athletes at the Olympic games dope, i.e., use performance enhancing drugs. The International Olympic Committee has a test that correctly identifies athletes who have doped 90% of the times. This test also correctly identifies athletes who have not doped 96% of the times. The test came out positive for an athlete. What is the chance that he/she has not doped?

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