Mathematical Methods in the Physical Sciences · Problem 16.1.5

FUNCTIONS OF A COMPLEX VARIABLE — Mary Boas

Mathematics — Methods · probability-children

Problem

Given a family of two children (assume boys and girls equally likely, that is, probability

\frac{1}{2}

for each), what is the probability that both are boys? That at least one is a girl? Given that at least one is a girl, what is the probability that both are girls? Given that the first two are girls, what is the probability that an expected third child will be a boy?

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