Question

Q78. The probability of having a girl is identical to the probability of having a boy. In a family with three children, what is the probability that all the children are of the same gender?

• A. (a) 1/8
• B. (b) 1/6
• C. (c) 1/3
• D. (d) 1/4

Answer 1

The correct option is D

(d) 1/4

First child could be Boy or Girl, similarly 2nd and third could be B or G. Hence total number of ways =2*2*2 =8.

Favorable number of ways = all B or all G (i.e. BBB or GGG =2

Hence P(E)= Favorable number of ways/Total number of ways =2/8 =1/4