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Binomial probabilities and gender of children

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Assume that male and female births are equally likely and that the birth of any child does not affect the probability of the gender of any other children. What is the probability of having exactly four boys in ten births? [Hint: binomial probability]

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Solution finds the probability of exactly four boys in ten births using bionomial concepts.

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From the condition, the probability of the birth of a boy is the same as the probability of the birth of a girl. So ...

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