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, 2 times; and each sophomore’s 1 time. What is the probability that a senior’s name will be chosen?
A 1/8
B 2/9
C 2/7
D 3/8
Solution
Correct Answer: Option D
There are 100*3=300 senior
There are 150*2=300 junior
There are 200*1=200 sophomore total student=(300+300+200)=800
Prob of selecting a senior = 300/800=3/8
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