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Chapter 2: Q. 2.43 (page 51)

(a)If Npeople, including AandB, are randomly arranged in a line, what is the probability that Aand Bare next to each other?

(b)What would the probability be if the people were randomly arranged in a circle?

Short Answer

Expert verified

(a)the probability that Aand Bare next to each other is2N.

(b)the probability is if the people were randomly arranged in a circle is2N-1.

Step by step solution

01

Given Information.

Npeople, including AandB, are randomly arranged in a line.

02

Part (a) Explanation.

P(AandBsittingtogether)=2*(N-1)!/(N!)=2/N

03

Part (b) Explanation.

P(AandBsittingtogetherinacircle)=2*(N-2)!/(N-1)!=2/(N-1)

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