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Three fair six-sided dice are rolled. It turns out that the unordered combinatio...
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Three fair six-sided dice are rolled. It turns out that the unordered combinations that sum to 11 and the unordered combinations that sum to 12 both consist of exactly 6 distinct combinations of numbers. However, there are 27 ordered outcomes (out of 216 total) that sum to 11, and 25 ordered outcomes that sum to 12. What is the probability that the sum of the three dice is 11?
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