To find the probability of rolling a sum of 6 with two 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 combinations is 6 x 6 = 36.
Next, we identify the specific combinations that result in a sum of 6. The pairs that give us this sum are:
- (1, 5)
- (2, 4)
- (3, 3)
- (4, 2)
- (5, 1)
There are 5 combinations that produce a sum of 6.
Now, we can calculate the probability. The probability is the number of favorable outcomes divided by the total number of outcomes. Thus, the probability of rolling a sum of 6 is:
Probability = Favorable outcomes / Total outcomes = 5 / 36.
In conclusion, the probability of getting a sum of 6 when rolling two dice is 5/36.