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The genders of children within the same family are not independent. So the answer will depends on the pattern of children's gender in the family's ancestry, as well as the age of the parents.

However, if you make the unreasonable and unjustified assumption that the genders are independent and that the probability of either gender is 1/2, then the answer is (1/2)5 = 1/32.

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Q: What is the probability that all of the children in a family of five children will be boys?
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Related questions

What is the probability of having 2 girls and 3 boys in a five child family?

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A family has five children The possibility of having a girl is 1 over 2 What is the probability of having 3 girls followed by 2 boys?

There is no proper answer to the question. The children's gender are not independent events: they are affected, among other things by the father's genes and the mother's age. Also, the true probability of a girl is 0.48, not 0.5. However, if you ignore reality, then the answer is (1/2)5 = 1/32.


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