Question

Ajay and his wife Kajol appear in an interview for two vacancies in the same post. The probability of Ajay's selection is $\frac{1}{7}$ and that of his wife Kajol's selection is $\frac{1}{5}$. What is the probability that both of them will be selected?

• A. $\frac{1}{12}$
• B. $\frac{1}{35}$
• C. $\frac{13}{35}$
• D. $\frac{12}{35}$

Answer 1

The correct option is B $\frac{1}{35}$

P(Both of them will be selected) = P(E and F) = $P(E\cup F)$
$=P\left(E\right)P\left(F\right)=\frac{1}{7}\times \frac{1}{5}=\frac{1}{35}$