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 at least one of them will be selected?

• A. $\frac{11}{35}$
• B. $\frac{24}{35}$
• C. $\frac{24}{35}$
• D. None of these

Answer 1

The correct option is A $\frac{11}{35}$

P(atleast one of them will be selected)
=1-P(none will be selected)
$=1-\frac{24}{35}=\frac{11}{35}$