Maths

It is assumed that when children are born they are equally likely to be boys or girls.What is the probability that a family of four children contains (a) three boys and one girl (b) two boys and two girls

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  1. both are binomial distribution problems

    prob(boy) = 1/2
    prob(girl)

    a) in 4 children, we want 3 boys and 1 girl
    = C(4,3)(1/2)^3 (1/2)^1
    = 4(1/16) = 1/4

    b)2 boys, 2 girls
    = C(4,2)(1/2)^2 (1/2)^2
    = 6(1/16) = 3/8

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