one die is red the other is green both are rolled what is the probability of getting the following sums A)8 B)9 C)10

There are a total of 6*6 =36 possible combinations

for a sum of 8, you can have:
(6,2)
(2,6)
(3,5)
(5,3)
(4,4)

Probability = 5/36

For a sum of 9, you can have:
(6,3)
(3,6)
(4,5)
(5,4)

Probability of 4/36

For a sum of 10, you can have:
(5,5)
(6,4)
(4,6)

For a probability of 3/36