Five people, designated as A, B, C, D, E, are arranged in

Chapter 2, Problem 44P

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QUESTION:

Five people, designated as A, B, C, D, E, are arranged in linear order. Assuming that each possible order is equally likely, what is the probability that

(a) there is exactly one person between A and B?

(b) there are exactly two people between A and B?

(c) there are three people between A and B?

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QUESTION:

Five people, designated as A, B, C, D, E, are arranged in linear order. Assuming that each possible order is equally likely, what is the probability that

(a) there is exactly one person between A and B?

(b) there are exactly two people between A and B?

(c) there are three people between A and B?

ANSWER:

Step 1 of 4

Five people, designated as A, B, C, D, E are arranged in linear order.

Each possible order is equally likely.

We have to find the following probabilities.

     (a) There is exactly one person Between A and B.

     (b) There are exactly two people between A and B.

     (c)  There are three people between A and B.

 

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