Multiple choice

When three fair dice are rolled, the probability of getting a sum of 6 or less is

  1. 15/216

  2. 16/216

  3. 17/216

  4. 20/216

  5. 5/108

Reveal answer Fill a bubble to check yourself
D Correct answer
AI explanation

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.