A couple plans to have 3 childrenIf having a boy or girl is

A couple plans to have 3 children.If having a boy or girl is equally likely at each birth then:

What is the probability of getting exactly 2 girls?

Solution

P(Boy) = P(Girl) = 0.5

We first choose the position of 2 girls in the arrangement of 3 children:

No. of ways = 3C2 = 3

P(2 girls and 1 boy) = 0.5² * 0.5

Required probability = 3*0.5² * 0.5 = 0.375