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A health study of a group of individuals reveals that 15% are heavy smokers, 30% are...

A health study of a group of individuals reveals that 15% are heavy smokers, 30% are light smokers, and 55% are nonsmokers. The death rates in these groups are 20%, 10%, and 5%, respectively. If a randomly selected person of this group is found to be dead, calculate the chance that the person was a heavy smoker.

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