Multiple choice

Three dice are rolled together. What is the probability of getting the same number on the three?

  1. 2 216

  2. 1 36

  3. 1 6

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

Total outcomes = 6^3 = 216. Favorable outcomes (same number) = (1,1,1), (2,2,2), ..., (6,6,6) = 6. Probability = 6/216 = 1/36.

AI explanation

By the fundamental principle of counting, the total possible outcomes when rolling three dice is 6 multiplied by 6 multiplied by 6, which equals 216. The favorable outcomes for getting the same number on all three dice are the six specific triplets consisting of three ones, three twos, three threes, three fours, three fives, and three sixes. The probability is calculated by dividing the 6 favorable outcomes by the 216 total outcomes. Simplifying the fraction 6/216 by dividing both numbers by 6 yields the final result of 1/36.

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