Question

A husband and wife appear in an interview for two vacancies in the same post. The probability of husband's selection is 1/7 and that of wife's is 1/5. What is the probability that both of them will be selected?

• A. $\frac{2}{7}$
• B. $\frac{1}{35}$
• C. $\frac{24}{25}$
• D. $\frac{11}{35}$

Answer 1

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

$P\left(bothofthemwillbeselected\right)$

$=P\left(A\right)\times P\left(B\right)=\frac{1}{7}\times \frac{1}{5}=\frac{1}{35}$