It is known that steroids give users an advantage in athletic contests, but it is also known that steroid use is banned in athletes. As a result, a steroid testing program has been instituted and athletes are randomly tested. The test procedures are believed to be equally effective on both users and nonusers and claim to be 98% accurate. If 90% of the athletes affected by this testing program are clean, what is the probability that the next athlete tested will be a user and fail the test?
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