(From Wolfram alpha)
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The probability is 1/36.
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.
The probability of rolling a sum of 12 in a single roll of two dice is 1 in 36, or about 0.0278.
Zero is the probability of rolling a sum of 15 on two fair dice; the maximum value is 12.
With standard dice, zero.