A family has two children. Given that at least one is a boy, what is the probability that both are boys?

\frac{1}{4}

Correct answerYour answer

\frac{1}{3}

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\frac{1}{2}

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\frac{2}{3}

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Show the answer and explanation

CorrectNot quiteAnswer B

Correct answer: B

Worth noting

$\frac{1}{2}$ treats it as the chance that the other child is a boy, but "at least one" does not say which child.

Ten questions from Conditional Probability & Bayes' Theorem, at your own pace.

Ten questions from Conditional Probability & Bayes' Theorem, at your own pace.

Explanation