A special lottery is to be held to select a student who will live in the only de

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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?

Options:

A . $$\frac{{1}}{{8}}$$

B . $$\frac{{2}}{{9}}$$

C . $$\frac{{2}}{{7}}$$

D . $$\frac{{3}}{{8}}$$

Answer: Option D

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