If there is an equal probability of a child being born a boy or a girl, what is the probability that a couple who have 5 children have two children of the same sex and one of the opposite sex?	Choose one
A) 1/3 B) 2/3 C) 1/4 D) 5/16 E) 3/5
No of ways of selecting a gender - 2C1   No of ways of selecting any 2 children out of 5 = 5C2   Total possible outcomes - 2^5 (each child can be either a girl or a boy)   Probability=2C1*5C2/2^5= 2*5/2*2*2*2*2=10/32=5/16   Ans=5/16
<result>D</result>
If there is an equal probability of a child being born a boy or a girl, what is the probability that a couple who have 5 children have two children of the same sex and one of the opposite sex?