What is the probability of having a boy then a girl then a b

What is the probability of having a boy, then a girl, then a boy, and then two girls in that birth order?

Solution

Probability of boy P(b) = 1/2

and probability of girl is also P(g) = 1/2

as they are the only 2 outcome possible and are equally likely

So probability of having a boy, then a girl, then a boy, and then two girls = P(b)*P(g)*P(b)*P(g)*P(g)

= 1/2 * 1/2 * 1/2 * 1/2 *1/2 = 1/32 =0.03125