Roll 2 die and sum their face values. what is the probability of an even number or a number greater than 8

Listing out all the cases satisfying the conditions:

(1,1), (1,3), (1,5)

(2,2), (2,4), (2,6)

(3,1), (3,3), (3,5), (3,6)

(4,2), (4,4), (4,5), (4,6)

(5,1), (5,3), (5,4), (5,5), (5,6)

(6,2), (6,3), (6,4), (6,5), (6,6)

The probability is 24/36 = 2/3