Question

The probability of four sons to a couple is

• A. $\frac{1}{4}$
• B. $\frac{1}{8}$
• C. $\frac{1}{16}$
• D. $\frac{1}{32}$

Answer 1

The correct option is C

$\frac{1}{16}$

Determine the probability of four sons in a couple.

Explanation of correct answer:

The probability of any event is defined as the ratio of favorable outcomes to the total number of outcomes.

$\mathrm{P}\left(\mathrm{E}\right)=\frac{\mathrm{Total}\mathrm{Number}\mathrm{of}\mathrm{Outcomes}}{\mathrm{Number}\mathrm{of}\mathrm{Favorable}\mathrm{Outcomes}}$

The probability of having a son in one delivery $=\frac{1}{2}$.
The probability of having four sons in four deliveries $=\frac{1}{2}\times \frac{1}{2}\times \frac{1}{2}\times \frac{1}{2}=\frac{1}{16}$.

Hence, the probability of four sons in a couple is $\frac{1}{16}$. The correct option is option (C).

Hence. the correct is option (C) .