I think of it this way. Take it as two unique 6-sided dice, then you have 36 possible outcomes (6 times 6). Two of these outcomes will add to equal 3 (2 & 1, and 1 & 2), so there are 34 [36-2] outcomes which don't sum to 3. The probability is 34/36 or about 94.44 percent chance.
If you're asking what the probability you don't roll AT LEAST three is, the only roll on two normal dice less than three is two, and there's only one way to roll it: 1,1. So the probability of not getting AT LEAST three on two fair dice is 1/36.
For a single roll of a pair of fair dice, the answer is 1/36.
50%
6:5
The probability is 1/2.
Assuming they are fair, regular dice, the probability is 1/18.
It is 1/3.
It is 1: if you roll the die often enough. On a single roll of a fair die, the probability is 1/6.
Assuming they are fair dice that are numbered 1 to 6, the probability is 2/36 = 1/18
With one roll of three dice, the probability is 7/8.
It is 5/6.
It is 6/36 = 1/6.
If you roll them often enough then the probability is 0. For just one roll, the probability is 35/36.