Final answer:
The probability of rolling a sum not more than 11 on a six-sided die is 0.9722, as there are 35 favorable outcomes out of 36 possible outcomes.
Step-by-step explanation:
The problem is asking for the probability of rolling a sum not more than 11 on a six-sided die. When rolling a six-sided die, the possible sums range from 2 to 12 (since the smallest number on a die is 1, and the largest is 6, so the smallest sum is when both dice roll a 1, and the largest sum is when both dice roll a 6). We are looking for sums of 2 through 11. To solve this, let's enumerate all possible outcomes when two dice are rolled and count the ones where the sum is 11 or less.
There are a total of 6 x 6 = 36 possible outcomes when rolling two dice. The only sums that exceed 11 are when the combinations are (6,6), which is only one possible combination. Therefore, the number of favorable outcomes is 36 - 1 = 35 since there are 35 combinations that result in a sum of 11 or less. The probability is then 35/36. Converting this to a decimal and rounding to four places, we get 0.9722.
Therefore, the correct answer is not listed among the options provided. If the options are supposed to be for the probability of rolling a sum of exactly 11, then we would calculate differently, but for a sum not more than 11, none of the provided choices are correct.