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They are a crude way to represent children's genders which depend on the assumptions that the probabilities are a half for either gender and that the probabilities are independent from one child to another.

In fact, neither assumption is true.

According to recent data, the probabilities of a child's gender is not 0.5 but males are more likely: prob = 0.5169.

Children's genders depend on parental ages and genes and so they are not independent events.

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Q: Why can coin flips be used to represent the possible genders of children in families?
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