To find the probability of rolling two dice and getting a sum of 4, 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 × 6 = 36.
Next, we need to find the number of outcomes that result in a sum of 4. The combinations that give us this sum are:
- (1, 3)
- (2, 2)
- (3, 1)
This means there are 3 favorable outcomes that result in a sum of 4.
Now, to find the probability, we can use the formula:
Probability = (Number of Favorable Outcomes) / (Total Number of Outcomes)
Substituting in our values, we get:
Probability = 3 / 36
When we simplify this fraction, it becomes:
Probability = 1 / 12
Therefore, the probability of rolling two dice and getting a sum of 4 is 1/12.