# Easy Probability Solved QuestionAptitude Discussion

 Q. 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. 1/8 ✖ B. 2/9 ✖ C. 2/7 ✔ D. 3/8

Solution:
Option(D) is correct

Total names in the lottery,

$= 3×100 + 2×150 + 200$

$= 800$

Number of Year-III's names,

$= 3×100$

$= 300$

Required probability,

$= \dfrac{300}{800}$

$= \textbf{3/8}$

## (1) Comment(s)

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we have to calculate number of year-III RATHER YEAR-II