Well, there are 36 options to be rolled. The only combos that will add up to ten are 5+5 and 6+4. So that's 2 options out of 36. Hence 2/36.
simplified to 1/18 OR 5.56%
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The probability of not rolling a sum of six with two fair dice is 1 minus the probability of rolling a sum of six. There are 36 permutations of rolling two dice. Of these, five sum to six, 1+5, 2+4, 3+3, 4+2, and 5+1. The probability, then of rolling a sum of six is 5 in 36. The probability, then of not rolling a sum of six is 31 in 36, or about 0.8611.
Zero is the probability of rolling a sum of 15 on two fair dice; the maximum value is 12.
The probability of rolling 12 with 2 dice is 1 in 36. The probability of not rolling 12 with 2 dice is 35 in 36.
5/36
5 in 36