One die has a 5. The only way to get a sum of 7 is by rolling a 2 on the other die. The other die has 6 equally likely outcomes, the numbers 1, 2, 3, 4, 5, or 6. The probability of rolling a 2 with one die is 1/6.
Answer is 1 1/12 3(1/4 + 1/2^2)+ (2x1/12) 3/4+1/4+2/12 (you get to this part by distributing 3 throughout the parentheses) 9/12+3/12+2/12= 1 1/12 hope this helps