Question: (Hat Checker Problem) A hat checker is given n indistinguishable hats and forgets to give out the appropriate tickets which identify them with n indistinguishable

(Hat Checker Problem) A hat checker is given n indistinguishable hats and forgets to give out the appropriate tickets which identify them with n indistinguishable people. When each person returns, the hat checker simply chooses a hat uniformly at random and hands it back. What is the expected number of hats that is returned correctly. (Hint: Count the number of hats by using an indicator random variable)

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