If two dice are rolled together, the number of possible outcomes would be

The correct answer is 36

When two fair dice are rolled together, the outcome of one die is independent of the second one.
One roll has no effect on the other one.
Suppose that the first die we roll comes up as a 1. The other die could be either a 1, 2, 3, 4, 5 or 6.
Now suppose that the first die is a 2. The other die again could be either a 1, 2, 3, 4, 5 or 6.
If the first die shows up 3, the other die again could be either a 1, 2, 3, 4, 5 or 6.
Thus, in total, there are 36 possible outcomes.