Answer
1/2
Work Step by Step
There are 36 possible rolls of the two dice. Even sums appear 18 times:
2 once, via 1-1
4 three times , via 1-3, 2-2, 3-1
6 five times, via 1-5, 2-4, 3-3, 4-2, 5-1
8 five times, via 2-6, 3-5, 4-4, 5-3, 6-2
10 three times, via 4-6, 5-5, 6-4
12 once, via 6-6.
So the probability of the sum being even is 18/36 = 1/2.
