Multiple choice

Three dice are rolled. The probability of getting the same number on the three dice is

  1. 2/216

  2. 1/36

  3. 1/6

  4. 5/36

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

There are 6 * 6 * 6 = 216 total outcomes. The favorable outcomes are (1,1,1), (2,2,2), (3,3,3), (4,4,4), (5,5,5), and (6,6,6), which is 6 outcomes. The probability is 6/216 = 1/36.

AI explanation

By the classical definition of probability, the sample space for rolling three dice contains 6 times 6 times 6, or 216 total outcomes. The favorable outcomes for getting the same number on all three dice are (1, 1, 1), (2, 2, 2), (3, 3, 3), (4, 4, 4), (5, 5, 5), and (6, 6, 6). The probability is the 6 favorable outcomes divided by 216, which simplifies to 1/36.

Keep practicing — related questions