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B
1/8
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C
1/16
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D
1/32
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Solution
The correct option is D 1/16 There are two possibilities to a couple for their child, that is either son or daughter. Probability of having either sex is 1/2. The probability for each child is independent of each other. Hence, the probability of four sons to a couple is (1/2)n, where n is the number of children.
Probability of four sons = 1/2 * 1/2 * 1/2 * 1/2 = 1/16.