Sure, let's calculate the probabilities for each sum:
1. Sum of 7: There are 6 ways to get a sum of 7 (e.g., 1+6, 2+5, 3+4, 4+3, 5+2, 6+1) out of a total of 36 possible outcomes.
2. Sum of 4: There are 3 ways to get a sum of 4 (e.g., 1+3, 2+2, 3+1) out of a total of 36 possible outcomes.
3. Sum of 12: There is only 1 way to get a sum of 12 (rolling two sixes) out of a total of 36 possible outcomes.
To find the probability, divide the number of favorable outcomes by the total number of possible outcomes for each sum.