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A couple has 2 children. What is the probability that both are boys. If it is known that one of them is a boy?

A. \(\frac{1}{3}\)

B. \(\frac{2}{3}\)

C. \(\frac{3}{4}\)

D. \(\frac{1}{4}\)

1 Answer

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Best answer

Correct answer is A.

The couple has two children and one is known to be boy,

The probability that the other is boy will be

\(=\frac{Favorable\,outcomes}{Total\,outcomes}\)

Total outcomes are 3,

The first child is a boy, the second girl

The first child is a girl, the second boy

The first child is a boy, second boy

The favourable outcome is one,

Thus, the probability that the other is boy will be

\(\Rightarrow 1/3\)

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