What is the probability of rolling a sum of 7 with two fair six-sided dice?
0.1667 or 16.67%
When rolling two fair six-sided dice, there are a total of 36 possible outcomes (6 outcomes for the first die multiplied by 6 outcomes for the second die).
To calculate the probability of rolling a sum of 7, we need to determine the number of combinations that result in a sum of 7. These combinations are:
1 + 6
2 + 5
3 + 4
4 + 3
5 + 2
6 + 1
So, there are 6 favorable outcomes that result in a sum of 7.
The probability of rolling a sum of 7 is calculated by dividing the number of favorable outcomes by the total possible outcomes:
Probability = (Number of Favorable Outcomes) / (Total Possible Outcomes) = 6 / 36 = 1/6 ≈ 0.1667
Therefore, the probability of rolling a sum of 7 with two fair six-sided dice is approximately 0.1667 or 16.67%.
