Alice and Bill are planning to have three children. (Assume it is equally likely for a boy or a girl to be born.)
What is the probability that all three will be the same gender?
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can someone explain to me why it would not be 1/8?
For one child, probability is 1/2 for a boy.
For two boys, probability is (1/2)^2=1/4.
For three boys, probability is (1/2)^3=1/8 = P(BBB)
Assuming equality of probability between boys and girls,
probability of three girls is also = 1/8 = P(GGG)
So probability of having 3 children of same gender = P(BBB)+P(GGG)