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Six fair dice are rolled. The probability that the product of the numbers appearing on top faces is prime, is

Options

  1. A1 2 1 6 4
  2. B1 2 6
  3. C1 6 4
  4. D1 2 1 6 5

Correct answer

A. 1 2 1 6 4

Step-by-step solution

This can be possible if five of the dice have 1 on top faces and one die has 2,  3 or 5 . Hence, required probability = 6 C 5 1 6 5 3 6 = 6 1 6 5 1 2 = 1 2 1 6 4

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