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 6 children have two children of the same sex and one of the opposite sex?
Choose the correct choice from the following answers.
A) 1/3
B) 2/3
C) 1/4
D) 3/16
E) 3/5
No of ways of selecting a gender - 2C1   No of ways of selecting any 2 children out of 6 = 6C2   Total possible outcomes - 2^6 (each child can be either a girl or a boy)   Probability=2C1*6C2/2^6= 2*6/2*2*2*2*2*2=12/64=3/16   Ans=3/16
<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 6 children have two children of the same sex and one of the opposite sex?