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For any particular pair of parents, the gender of their children is not 1/2 nor are the genders independent. However, if you assume that they are, and that the probability of either gender is 0.2, the probability tat 4 out of 8 are girls is

8C4*(1/2)8 = 70/256 = 0.27 approx.

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Q: What is the probability of a family that has 8 children 4 of them are girls?
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What is the probability that no girls?

We would need to know the number of children in the family to answer this question. For instance, the probability of having no girls in a family of two children would be 1/4 theoretically. In general it is 2-n where n is the number of children.


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