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Problem 5
A box of numbered marbles has 12 red, 12 blue, 12 green, and 12 yellow marbles. The marbles for each color are numbered from 1 to 12. There is a unique number on each marble, so no marble is exactly the same as any other marble in the box. When reaching into the box to randomly draw five marbles without replacement, what is the probability of getting exactly four marbles of the same color (note: the numbers matter but the order does not)?
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