What is the sample space of the even values for the sum or two 6-sided dice

The sample space for the sum of two 6-sided dice is the set of all possible outcomes when rolling two dice. Since each die has 6 sides, the sample space for the sum of two dice ranges from 2 (1+1) to 12 (6+6).

For the even values of the sum of two dice, the sample space would be:

{2, 4, 6, 8, 10, 12}