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What is the distribution of the number of freshmen

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Among 20 students in a Zoom meeting, there are five each of freshmen, sophomores, juniors, and seniors. The 20 students are split at random into four breakout rooms of five students each.

a) What is the distribution of the number of freshmen in Breakout Room 1?

b) What is the joint distribution of the numbers of freshmen in Breakout Rooms 1 and 4?

c) What is the chance that in at least one of the breakout rooms all the students are in the same year?

Reference no: EM132851425

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