It Is estimated that 3% of the athletes competing in a large tournament are user

Question

It Is estimated that 3% of the athletes competing in a large tournament are users of an illegal drug to enhance performance. Athletes are tested to see if they are using illegal drugs or not using illegal drugs and the test can come back positive or negative. The test for this drug is 90% accurate for non-drug users (this means there is a 90% chance the test comes back negative if the person Is a non-user). What is the probability that an athlete tests negative and is not a user of an illegal drug? 0.124 0.8730 0.2177 0.027

Explanation / Answer

P(Tests negative and not a user of an illegal drug)

= 0.9*(1 - 0.03)

= 0.9*0.97

= 0.8730

Hence,

Option B is correct.

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