At a soup kitchen, a social worker gathers the following data. Of those visiting the kitchen, 59 percent are men, 32 percent are alcoholics, and 21 percent are male alcoholics. What is the probability that a random male visitor to the kitchen is an alcoholic?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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At a soup kitchen, a social worker gathers the following data. Of those visiting the
kitchen, 59 percent are men, 32 percent are alcoholics, and 21 percent are male
alcoholics. What is the probability that a random male visitor to the kitchen is an
alcoholic?
(b) During a study of auto accidents, the Highway Safety Council found that 60 percent
of all accidents occur at night, 52 percent are alcohol-related, and 37 percent occur at
night and are alcohol-related.
(a) What is the probability that an accident was alcohol-related, given that it occurred
at night?
(b) What is the probability that an accident occurred at night, given that it was
alcohol-related?

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