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Question

In a population of N families, 50% of the families have three children, 30% of the families have two children and the remaining families have one child. What is the probability that a randomly picked child belongs to a family with two children?

A
323
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B
623
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C
310
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D
35
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Solution

The correct option is B 623
Number of children belonging to families with 3 children
=(50 percentage of N)×3=3N2

Number of children belonging to families with 2 children
=(30 percentage of N)×2=3N5

Number of children belonging to families with 1 child
=(20 percentage of N)×1=N5

Required probability =3N53N2+3N5+N5=623

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