Question

What is the probability of three daughters to a couple in three children?

• A. $\frac{1}{4}$
• B. $\frac{1}{8}$
• C. $\frac{1}{16}$
• D. $\frac{3}{8}$

Answer 1

The correct option is B $\frac{1}{8}$

The production of male or the female child is determined by the type of chromosome present in the sperm (X or Y). There is no other rule to determine the chances of male or female children. Hence, a couple always has 1/2 chance to have a daughter and half chance to have a son each time. Hence, the probability of three daughters to a couple in three children= 1/2X1/2X1/2= 1/8. Option B is the correct answer.