Suppose in Example 2.31 that those choosing their own hats depart, while the others (those without a
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Suppose in Example 2.31 that those choosing their own hats depart, while the others (those without a match)
put their selected hats in the center of the room, mix them up, and then reselect.
Also, suppose that this process continues until each individual has his own hat.
(a) Find E[Rn] where Rn is the number of rounds that are necessary when n individuals are initially present.
(b) Find E[Sn] where Sn is the total number of selections made by the n individuals, n 2.
(c) Find the expected number of false selections made by one of the n people, n 2.
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