When three fair dice are rolled, the probability of getting a sum of 6 or less is
Reveal answer
Fill a bubble to check yourself
When three fair dice are rolled, the probability of getting a sum of 6 or less is
15/216
16/216
17/216
20/216
5/108
We calculate the number of favorable outcomes for each sum using combinations with identical items. The sums can be achieved in the following ways: a sum of 3 has 1 outcome, a sum of 4 has 3 outcomes, a sum of 5 has 6 outcomes, and a sum of 6 has 10 outcomes. Adding these gives 1 + 3 + 6 + 10 = 20 favorable outcomes. Since the total number of outcomes when rolling three dice is 6 * 6 * 6 = 216, the probability is 20/216.