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Three 6 faced dice are thrown together. The probability that exactly two dice show the same number on them is -.

Correct answer: B. 5/12

  • A. 5/9
  • B. 5/12
  • C. 1/36
  • D. 7/12

Explanation

Choose the repeated number in 6 ways, the different number in 5 ways, and the position of the different die in 3 ways. This gives 6 x 5 x 3 = 90 outcomes out of 6^3 = 216, so the probability is 90/216 = 5/12. The likely mistake is 1/36, which counts only one specific repeated-number pattern.

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