Question 1084318
It can be shown that the sum is greater than 9 (10, 11, 12) is 6/36 or 1/6.  Those 6 possibilities are 4-6,5-5,6-4 and 5-6, 6-5, and 6-6
The sum is divisible by 2: 
2: 1-1, or 1 way
4: 1-3, 2-2-, 3-1: 3 ways
6: 1-5, 2-4,3-3,4,2,5-1: 5 ways
8:also 5 ways 2-6, 6-2,3-5,5-3, 4-4
10: 3 ways
12: 1 way
That is a total of 18 ways out of 36 or 1/2.