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 users of the drug. (This means 90% of the tests come back positive if the person uses the drug). What is the probability that an athlete tests positive and is a user of an illegal drug?
0.027
0.1024
0.2177
0.873