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Question

There are m persons sitting in a row. Two of these are selected at random. The probability that the two selected persons are not together is


A

1m+1

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B

1-2m

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C

1-2m+1

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D

m(m+1)(m-1)(m-2)

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Solution

The correct option is B

1-2m


Find the required probability.

Given : m persons are sitting in a row.

The number of ways,

selecting two persons out of m persons =C2m

=mm-12

Two selected persons are not together =(m-1)(m-2)2

Thus, the required probability is ,

=(m-1)(m-2)2m(m-1)2=(m-2)m=1-2m

Hence option B, 1-2m is the correct answer.


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