assume that it is equally likely for a child to be born a bo

assume that it is equally likely for a child to be born a boy or a girl and that the Lin family is planning on having 3 children. List the elements of the event that the Lins have 2 boys and 1 girl. • Compute the probability that the Lins will have 2 boys and 1 girl.

Solution

Lin can have 2 boys and 1 girl in the following ways

1) BBG

2)BGB

3) GBB

in all the possibilities each the probability of having 2 boys and 1 girl = 0.5*0.5*0.5 = 0.125

Hence the probability of 2 boys and 1 girl = 3*0.125 =0.375