Help with finite math!!

Question

A pair of dice is rolled, and the number that appears uppermost on each die is observed. Refer to this experiment and find the probability of the given event. (Enter your answer as a fraction.)

The sum of the numbers is an even number.

Answer 1

for sum to be even, either both dice are odd or both are even

11 is even

22 is even

13 is even

31 is even

15 is even

51 is even

33 is even

55 is even

66 is even

9 out of 36 outcomes are even

P(both even) = 9/36 = 1/6