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 $\frac{1}{6}$. What is the probability that both of them are selected

Answer 1

Let probability of Amit’s selection $P\left(A\right)=\frac{1}{5}$

probability of Nisha’s selection $P\left(B\right)=\frac{1}{6}$

Then probability of both are selected $=P\left(A\right).P\left(B\right)$

$=\frac{1}{5}.\frac{1}{6}=\frac{1}{30}$