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There are 21 possible combinations of 2 dice. The total with the most possible combinations is 7, which has three. (6+1,5+2,4+3)

This is not right. By this logic 6 and 8 have equal chances of being rolled as I can roll a six through the numbers, 5-1, 4-2, 3-3. When counting the probability of a number to be rolled you have to assume the dice do not care the order in which they are rolled. That is to say, a roll of 5-2, and 2-5 are NOT the same. It is for this reason we find that 7 truly has many more ways a being rolled. 2-5, 5-2, 6-1, 1-6, 3-4, 4-3. While both 6 and 8 have less because one of their dice rolls cannot be counted twice the double roll. For six this is the 3-3 roll, and for eight its the 4-4 roll. That is why 7 is the most common roll on two dice.

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