Question

Ram and Ramesh appeared in an interview for two vacancies in the same department. The probabilities of Ram's selection is 1/6 and that of Ramesh is 1/8. What is probability that only one of them will be selected.

• A. 47/48
• B. 1/4
• C. 13/48
• D. 35/48

Answer 1

The correct option is B 1/4

Probability of Ram selection $P\left(Ram\right)=\frac{1}{6}$

Probability of Ramesh selection P(Ramesh) $=\frac{1}{8}$

Probability that only one of selection $=P\left(Ram\right).\overline{P\left(Ramesh\right)}+\overline{P\left(Ram\right)}.P\left(Ramesh\right)$

$=\frac{1}{6}(1-\frac{1}{8})+(1-\frac{1}{6})\times \frac{1}{8}$

$=\frac{7}{48}+\frac{5}{48}=\frac{1}{4}$