GATE2015 EC-2: GA- 5

Question

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

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

Answer 1

Selection of RAM and not Ramesh is $1/6 \times 7/8$ and selection of Ramesh and not Ram is $1/8 \times 5/6.$ So, net probability is $12/48 = 1/4.$

Correct Option (B)