When rolling two six-sided dice, the probability of getting a specific sum can be calculated by considering the total possible outcomes and the successful outcomes that yield the desired sum. In this case, we want to find the probability of rolling a total of 4.
First, let’s determine the total number of outcomes when rolling two dice. Each die has 6 faces, so when you roll two dice, the total number of possible outcomes is:
6 (faces of die 1) × 6 (faces of die 2) = 36 total outcomes.
Next, we need to identify the combinations of the two dice that result in a sum of 4. The successful pairs (die1, die2) that add up to 4 are as follows:
- (1, 3)
- (2, 2)
- (3, 1)
As we can see, there are a total of 3 successful outcomes that can yield a sum of 4.
Now, we can calculate the probability by taking the ratio of successful outcomes to total outcomes:
Probability of rolling a sum of 4 = Number of successful outcomes / Total outcomes
Probability = 3 (successful outcomes) / 36 (total outcomes) = 1/12 ≈ 0.0833
In fraction form, the probability is 1/12, and in decimal form, it is approximately 0.0833 or 8.33%. Therefore, when rolling two dice, you have about an 8.33% chance of getting a sum of 4.