The probability of getting a sum of 7 when rolling two six-sided dice is 1/6 or approximately 16.67%. This is because there are six possible ways to get a sum of 7: (1,6), (2,5), (3,4), (4,3), (5,2), (6,1). Out of the total 36 possible outcomes, 6 of them result in a sum of 7.
The probability of getting a sum of 2 or 12 when rolling two six-sided dice is 1/36 or approximately 2.78%. This is because there is only one way to get a sum of 2: (1,1) and one way to get a sum of 12: (6,6). Out of the total 36 possible outcomes, only 2 of them result in a sum of 2 or 12.
The probability of getting a sum greater than or equal to 11 when rolling two six-sided dice is 1/12 or approximately 8.33%. This is because there are only two ways to get a sum of 11: (5,6) and (6,5). Out of the total 36 possible outcomes, only 3 of them result in a sum greater than or equal to 11.
The expected value of the sum when rolling two six-sided dice is 7. This is because the average of all possible outcomes is 7. Out of the total 36 possible outcomes, there are 6 ways to get a sum of 7, 5 ways to get a sum of 8, 4 ways to get a sum of 9, and so on. When we add up all the possible sums and divide by 36, we get an average of 7.
The probability of getting a sum of 8 or less when rolling two six-sided dice is 5/12 or approximately 41.67%. This is because there are 5 ways to get a sum of 8 or less: (1,1), (1,2), (2,1), (2,2), (3,1). Out of the total 36 possible outcomes, 15 of them result in a sum of 8 or less.