In a game, you roll two fair six-sided dice. What is the probability that the sum of the numbers rolled is 7 or 11?
*
1/6
1/12
2/9
10/36
To find the sum of 7 or 11, there are a few combinations that result in these sums:
- For a sum of 7: (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) - a total of 6 combinations
- For a sum of 11: (5,6), (6,5) - a total of 2 combinations
Therefore, the total number of favorable outcomes is 6 + 2 = 8.
Since there are a total of 6 possible outcomes for each dice roll, the total number of outcomes when rolling two dice is 6 * 6 = 36.
The probability of getting a sum of 7 or 11 is 8/36 = 2/9.
Therefore, the answer is 2/9.