Question: An instructor in an elementary laboratory class in psychology knows that out of 50 students, 12 are freshmen, 25 are sophomores, 11 are juniors, and

An instructor in an elementary laboratory class in psychology knows that out of 50 students, 12 are freshmen, 25 are sophomores, 11 are juniors, and only 2 are seniors. He assigns these students to particular laboratory sections at random, ten to a section. What is the probability that a particular section consists of 1 freshman, 1 sophomore and 8 juniors? (Assume that this is the first section of 10 students assigned.) What is the probability that the first section consists only of sophomores, and that the second section consists of juniors and the two seniors?

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