Multiple choice

In a single roll of three dice, what is the probability of getting a total sum of 16?

  1. 1/36

  2. 1/18

  3. 1/72

  4. 1/9
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Total outcomes = 6^3 = 216. Sum of 16 can be achieved by: (6,6,4) in 3 ways, (6,5,5) in 3 ways. Total favorable outcomes = 6. Probability = 6/216 = 1/36.

AI explanation

When three dice are rolled, the total number of possible outcomes in the sample space is 6 multiplied by 6 multiplied by 6, which equals 216. To find the outcomes that yield a total sum of 16, we look for permutations of (4, 6, 6), (5, 5, 6) and their arrangements, which results in exactly 6 favorable combinations. Using the basic probability formula, the required probability is 6 divided by 216, which simplifies to 1/36.

Keep practicing — related questions