There are a number of ways to find the answer. Among them are

p(odd, odd) = 1/4, result is divisible by 2

p(odd, even) = 1/4, result is not divisible by 2

p(even, odd) = 1/4, result is not divisible by 2

p(even, even) = 1/4, result is divisible by 2.

Thus, the probability that the result is divisible by 2 is (1/4) + (1/4) = 1/2

**1.**List the possible outcomes (all 36 of them), and count the ones that are even (18 of them). The resulting probability is 18/36 = 1/2.**2.**Realize that half the numbers are even and half are odd on one die, so the sums will have these probabilities: (assuming fair dice)p(odd, odd) = 1/4, result is divisible by 2

p(odd, even) = 1/4, result is not divisible by 2

p(even, odd) = 1/4, result is not divisible by 2

p(even, even) = 1/4, result is divisible by 2.

Thus, the probability that the result is divisible by 2 is (1/4) + (1/4) = 1/2