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A group of five people are selected at random. What is the probability that two

ID: 3012059 • Letter: A

Question

A group of five people are selected at random. What is the probability that two of them were born on the same day of the week? (Assume that a person is equally likely to be born on any day of the week.) A group of five people are selected at random. What is the probability that two of them were born on the same day of the week? (Assume that a person is equally likely to be born on any day of the week.) A group of five people are selected at random. What is the probability that two of them were born on the same day of the week? (Assume that a person is equally likely to be born on any day of the week.)

Explanation / Answer

Here' how to solve the problem:

P(1st person' b day) = 7/7 = 1

P( 2nd bday and 1st bday same day) = 1*1/7 = 1/7

P( the rest 3 doesn't fall on that day) = 1/7 ( 6/7)^3 = .08996

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