Question: Suppose that we throw 30 fair dice. Recall that a fair die has six sides, numbered from 1 to 6, with each side occurring

Suppose that we throw 30 fair dice. Recall that a fair die

Suppose that we throw 30 fair dice. Recall that a fair die has six sides, numbered from 1 to 6, with each side occurring with equal probability. (a) (3pts) What is the probability that 5 of each of the sides 1, 2, 3, 4, 5, 6 appear? (b) (3pts) What is the probability that side 1 appears on at least one of the 30 throws? (c) (4pts) What is the probability that both side 1 and side 2 appear on at least one of the 30 throws?

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