There are 36 possible outcomes but the only ones that produce 4 are 2,2 1,3 and 3,1. Hence the probability is 3 in 36 (or 1 in 12).
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Assuming these are regular dice, the probability is 1.
With two normal six-sided dice, the maximum sum can only be 12 (6 x 2 dice), so there is zero probability of rolling a sum that adds to 16.
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.
Zero. The minimum value of two dice being rolled is two.
There are 36 permutations of two dice. Only one of them has a sum of two. Then probability, then, of rolling a sum of more than two is 35 in 36, or about 0.9722.