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1. 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. 1/8
- C. 1/8
- D. 1/8
Answer: Option D
Explanation:
Total number of seniors' names = 3 x 100 = 300
Total number of juniors' names = 2 x 150 = 300
Total number of sophomores' names = 200
Total student names for lottery = 300 + 300 + 200 = 800
Probability of a senior's name to be chosen = 300 / 800 = 3/8
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