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No. All of the permutations are equally likely, but the distinguishable combinations, and the permutations of the same sum are not. Take two dice, for instance. There are 36 permutations. The sums 2 and 12 each have only one permutation, so their probabilities are 1 in 36, each. The sum 7, however, has 6 permutations, 1-6, 2-5, 3-4, 4-3, 5-2, and 6-1, so the probability of a sum of 6 is 6 in 36, or 1 in 6.

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Q: When rolling dice are all the sums equally likely?
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