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A special lottery is to be held to select the student who will live in the only deluxe room in a dormitory.

There are 100 seniors, 150 juniors, and 200 sophomores who applied. Each senior's name is placed in the lottery 3 times; each junior's name, twice; and each sophomore's name, once.

What is the probability that a senior's name will be chosen?

### Select one of the following: