Question

Amit and Nisha appear for an interview for two vacancies in a company. The probability of Amit's selection is $\frac{1}{5}$ and that of Nisha's selection is $\frac{1}{6}$. Then the probability that both of them are selected is:

• A. $\frac{1}{20}$
• B. $\frac{1}{25}$
• C. $\frac{1}{30}$
• D. $\frac{1}{10}$

Answer 1

The correct option is C $\frac{1}{30}$

Let probability of Amit's selection $P\left(A\right)=\frac{1}{5}$
and probability of Nisha's selection $P\left(B\right)=\frac{1}{6}$
Then probability of both are selected $=P\left(A\right).P\left(B\right)$
$=\frac{1}{5}\cdot \frac{1}{6}=\frac{1}{30}$