(Steps Shown) The probability that a man from a certain low-risk group has HIV is 3%. If a man has HIV, the probability that he is tested positive is 90%.


Question: The probability that a man from a certain low-risk group has HIV is 3%. If a man has HIV, the probability that he is tested positive is 90%. Even if a man does not have HIV, the probability that he is tested positive is still 5%. Given that a man is tested positive, what is the probability that he actually has HIV? (Hint: See the reading assignment "Chances Are").

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