Question A woman is about to deliver triplets If each child

Question:

A woman is about to deliver triplets. If each child is the product of an independent fertilization event, what is the probability that the 3 children will be Either all boys OR all girls?

A) 1/2

B) 1/3

C) 1/4

D) 2/3

Solution

Since all the events are independent to each other so the probability of all the child either be girl or boy will be:

the probability of either girl or boy is 1/2

the probability of al the child be boy be 1/2*1/2*1/2 = 1/8

the probability of al the child be girl be 1/2*1/2*1/2 = 1/8

the probability of all the child be either girl or boy will be 1/8+1/8 = 1/4

so the answer is option c 1/4