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Question

Out of 800 families with 4 children each, the expected number of families having 2 boys and 2 girls

A
100
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B
200
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C
300
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D
400
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Solution

The correct option is C 300
The probability of having a girl =probability of having a boy=12
The probability of exactly 2 boys and two girls out of 4 children is
4C2(12)2(12)2

=624 =616 =38
Hence the required expectancy
=800(38)
=3(100)
=300

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