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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
18
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B
28
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C
38
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D
12
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Solution

The correct option is C 38
Total names in the lottery
=3×100+2×150+200=800
Number of Year-III's names=3×100=300
Required probability =300800=38

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