To calculate the probability of rolling a sum of 6 with two six-sided dice, we first need to determine the total number of possible outcomes when rolling two dice.
Each die has 6 faces, so when rolling two dice, the total number of outcomes is:
6 (for the first die) × 6 (for the second die) = 36 possible outcomes.
Next, we identify which combinations of the two dice result in a sum of 6. The possible combinations are:
- (1, 5)
- (2, 4)
- (3, 3)
- (4, 2)
- (5, 1)
This gives us a total of 5 combinations that result in the desired sum of 6.
Now, to find the probability, we can use the formula:
Probability = (Number of favorable outcomes) / (Total number of outcomes)
Substituting in the values we found:
Probability = 5 / 36
Therefore, the probability of rolling a sum of 6 with two dice is:
5/36 or approximately 0.1389, which can also be expressed as 13.89%.