Suppose that n people throw their hats in a box and then each pick one hat at random. (Each hat can be picked by only one person, and each assignment of hats to persons is equally likely.) What is the expected value of X, the number of people that get back their own hat?
Suppose that n people throw their hats in a box and then each pick one hat at random. (Each hat can be picked by only one person, and each assignment of hats to persons is equally likely.) What is the expected value of X, the number of people that get back their own hat?
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 3E
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Transcribed Image Text:Suppose that n people throw their hats in a box and then each pick one hat at
random. (Each hat can be picked by only one person, and each assignment of hats
to persons is equally likely.) What is the expected value of X, the number of
people that get back their own hat?
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