Suppose all n men at a party throw their hats in the center of the room. Each

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Suppose all n men at a party throw their hats in the center of the room. Each man then randomly selects a hat. Show that the probability that none of the n men selects his own hat is 1

− 1 3!

+ 1 4!

−+· · · (−1)n n!

Note that as n→∞this converges to e

−1. Is this surprising?

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Introduction To Probability Models

ISBN: 9780443187612

13th Edition

Authors: Sheldon M. Ross

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Question Posted: Sep 19, 2024 10:06 PM

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Suppose all n men at a party throw their hats in the center of the room. Each

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Introduction To Probability Models

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