Calculating the Probability of Rolling a 7 or 11 with Two Dice
To find the probability of rolling a sum of either 7 or 11 with two dice, we must first determine all the possible outcomes when rolling two dice. Each die has 6 sides, so there are a total of 6 * 6 = 36 possible outcomes when rolling two dice.

Determining the Possible Ways to Roll a Sum of 7
To roll a sum of 7, the following combinations are possible:
- (1, 6) or (6, 1)
- (2, 5) or (5, 2)
- (3, 4) or (4, 3)
There are a total of 6 possible ways to roll a sum of 7.

Determining the Possible Ways to Roll a Sum of 11
To roll a sum of 11, the only possible combination is:
- (5, 6) or (6, 5)
There is only 1 possible way to roll a sum of 11.

Calculating the Total Number of Favorable Outcomes
Therefore, the total number of favorable outcomes (rolling a sum of either 7 or 11) is:
6 (ways to roll a sum of 7) + 1 (way to roll a sum of 11) = 7

Calculating the Probability
Finally, to calculate the probability of rolling a sum of either 7 or 11, we divide the total number of favorable outcomes by the total number of possible outcomes:
Probability = Number of Favorable Outcomes / Total Number of Possible Outcomes
Probability = 7 / 36
Therefore, the probability of rolling a sum of either 7 or 11 with two dice is 7/36.