The question cannot be answered properly because the children's genders are not independent events. They depend on the parents' ages and their genes. Furthermore, it is often wrongly assumed that the probability of a boy is 50%. That is simply not true: the latest information shows that the probability of a boy is 52%.
However, if you choose to ignore reality then the solution, based on the Binomial(9, 1/2) distribution, is that the probability is 0.1641, approximately.
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Assuming that having boys and girls are equally likely, then the probability is 1/8. * * * * * You also need to assume that the children's genders are independent. They are NOT and depend on the parents' ages and genes.
1/32
It depends on the context. In a girls' school, it is pretty close to 1 whereas in a boys' school it will be 0.
1/35
well it Will be even