Probability question of hats
Five bald men wearing hats go to a party, and when they arrived they put
their hats in a dark closet. During the party, someone yells, "Fire!" and
the men rush to the closet, grab a hat at random, and leave. What is the
probability that
(a) exactly four get the right hats?
(b) all five get the wrong hat?
(c) more than one man gets the right hat?
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