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Say a criminal profiler is trying to determine the probability that someone is a criminal based on statistical information.

60% of people who have mustaches are criminals.

70% of people who wear black hats are criminals.

80% of people who wear sunglasses are criminals.

If the profiler is profiling an individual who wears sunglasses, a black hat, and has a mustache; how would she determine the probability that this individual is a criminal?

By the way, this is not a homework problem, I'm just trying to understand how to apply probability better.

Thanks a lot.