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Question

# Four persons are selected at random out of 3 men, 2 women and 4 children. The probability that there are exactly 2 children in the selection is

A

1121

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B

921

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C

1021

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D

none of these

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Solution

## The correct option is C 1021 There are nine persons (three men, two women and four children) out of which four persons can be selected in 9C4=126 ways. ∴ Total number of elementary events = 126 Exactly two children means selecting two children and two other people from three men and two women. This can be done in 4C2×5C2 ways ∴ Favourable number of elementary events =4C2×5C2=60 So, required probability =60126=1021

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