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A special lottery is to be held to select a high school student of the year. There
are 800 seniors, 100 juniors, and 600 sophomores who applied.
Each senior's name is placed in the lottery 4 times; each
junior's name, 5 times; and each sophomore's name, 3 times.
What is the probability that a senior's name will be chosen?
A) 9/4
B) 1/1.71875
C) 10/8
D) 8/5
E) 5/7