A couple decided to have 4 children. What is the probability that they will have at least 3 boys

That’s a simple statistical question under fair assumption:

that the probability that each child is a boy is the same ( identically distributed)

that the probability that each child is independent of the sex of the preceding child

Under such assumption, if we denote P the probability that a child is a boy and therefore 1-P is the probability that the child is the girl then the number of girl in four children for this couple follow a B(4, 1-P) where B is the Binomial distribution (you may want to read more about this since it’s a really common distribution).

Therefore the answer to your question is the probability:

1 - P(B(4, 1-P)=4) = 1 - (1-P)^4 (simplified formula)

If the probability was 0.5, this leads to the answers below, i.e. 0.9375.

Step-by-step explanation:

hope this helps! have a great day :D

$9.41

step-by-step explanation:

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