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In many sports, athletes are routinely tested for performance enhancing drugs (PEDs). Suppose an athlete who has used such drugs is given two tests that

In many sports, athletes are routinely tested for performance enhancing drugs (PEDs). Suppose an athlete who has used such drugs is given two tests that operate independently of one another. When the subject has used PEDs, Test A will be positive 90 percent of the time, and Test B will be positive 80 percent of the time. What is the probability that exactly one test will be positive?

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