Answer:
There are 36 total possible ways the dice may fall.
Ways to get a 7: 1+6, 2+5, 3+4, 4+3, 5+2, 6+1 : 6 ways.
Ways to get an 11: 5+6, 6+5 : 2 ways.
So there are 8 ways the sum can be 7 or 11 out of the 36 total possibilities. Probability: 8/36=2/9.