The probability of rolling a sum of 6 with two dice can be calculated by determining the total possible outcomes and the favorable outcomes that result in that sum.
When rolling two dice, each die has 6 faces, leading to a total of 36 possible outcomes (6 faces on die one multiplied by 6 faces on die two).
Next, we need to find the combinations of the two dice that add up to 6. Below are the possible pairs:
- (1, 5)
- (2, 4)
- (3, 3)
- (4, 2)
- (5, 1)
There are a total of 5 favorable outcomes that yield a sum of 6.
To find the probability, we use the formula:
Probability = (Number of favorable outcomes) / (Total number of outcomes)
Substituting in our numbers:
Probability = 5 / 36
Thus, the probability of rolling a sum of 6 with two dice is 5/36, or approximately 0.139, which is about 13.9%.
This means that if you were to roll two dice multiple times, you could expect to roll a sum of 6 about 13.9% of the time.