Question

A special lottery is to be held to select a student who will live in the only deluxe room in a hostel. There are 100 Year-III, 150 Year-II and 200 Year-I students who applied. Each Year-III's name is placed in the lottery 3 times; each Year-II's name, 2 times and Year-I's name, 1 time. What is the probability that a Year-III's name will be chosen?

• A. $\frac{1}{8}$
• B. $\frac{2}{8}$
• C. $\frac{3}{8}$
• D. $\frac{1}{2}$

Answer 1

The correct option is C $\frac{3}{8}$

Total names in the lottery
$=3\times 100+2\times 150+200=800$
Number of Year-III's names$=3\times 100=300$
Required probability $=\frac{300}{800}=\frac{3}{8}$