If Pair Dies Is Thrown.What Is The Probability That The Sum Of Top Number Is Either 6 or 10?

ways to get a 6:

1-5, 2-4, 3-3, 4-2, 5-1
ways to get a 10:
4-6, 5-5, 6-4

prob(your event) = 8/36 = 2/9