Multiple choice

Three dice are thrown. What is the probability of getting a triplet?

  1. $\dfrac{1}{6}$
  2. $\dfrac{1}{18}$
  3. $\dfrac{1}{36}$
  4. $\dfrac{1}{72}$
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C Correct answer
Explanation

Total outcomes = 6^3 = 216. Triplets are (1,1,1), (2,2,2), (3,3,3), (4,4,4), (5,5,5), (6,6,6), which is 6 outcomes. Probability = 6/216 = 1/36.

AI explanation

When three dice are thrown, the total number of possible outcomes in the sample space is 6 * 6 * 6 = 216. A triplet means all three dice show the same number, and there are only 6 such outcomes: (1,1,1), (2,2,2), (3,3,3), (4,4,4), (5,5,5), and (6,6,6). Using the classical definition of probability, the chance of getting a triplet is 6/216, which simplifies to 1/36.

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