# (Solved) A certain sport branch is considering a mandatory drug testing policy for the athletes competing in a tournament

A certain sport branch is considering a mandatory drug testing policy for the athletes competing in a tournament. Suppose that the test to be used will give either a positive” or a ,,negative indication. From previous testing it is known that if the tested person is a drug user there is a 0,92 probability that the test will be,, positive.’ In cases where the tested person is not a drug user, there is a 0,96 probability that the test will be “negative.” Assume that 10% of the athletes to be tested are drug users.

**Expert Answer**

Let P denote positive test, and N denote negative test. D denotes drug user and

denote not a drug user. Then it’s given that

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