(P4.59) The Birthday Problem, continued If n people enter a room, find these probabilities...

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(P4.59) The Birthday Problem, continued If n people enter a room, find these probabilities: 

A: None of the people have the same birthday

B: At least two of the people have the same birthday

Solve for

a. n = 3 b. n = 4

[NOTE: Surprisingly, P(B) increases rapidly as increases. For example, for n = 20, P(B) = .411;for n = 40, P(B) = .891.]


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