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Suppose that five 4-sided dice are rolled, with the numbers 1, 2, 3, and 4 being...

Suppose that five 4-sided dice are rolled, with the numbers 1, 2, 3, and 4 being the equally-likely outcomes for each die. What is the probability that at least two of them result in the outcome 1 and at least two of them result in the outcome 2? (I suggest that you make use of a multinomial distribution to obtain the answer.)

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