Having a bit of trouble with this one. Can anyone help?

Many thanks.

Q.Assuming a newborn child is equally likely to be a girl or a boy, find the probability that, in a family of 5 children, there are more girls than boys.

P(2 boys) = 1 - P(no boys) - P(1 boy) = 1 - (1/2 x 1/2 x 1/2 x 1/2 1/2) - 1/2 = 1 - 1/32 - 1/2 = 15/32

Ans.:(From text book): 1/2