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A special lottery is to be held to select a high school student of the year. There
are 400 seniors, 500 juniors, and 200 sophomores who applied.
Each senior's name is placed in the lottery 6 times; each
junior's name, 3 times; and each sophomore's name, 4 times.
What is the probability that a senior's name will be chosen?
A) 3/7
B) 1/1.9583333333333
C) 7/9
D) 2/5
E) 9/11