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Three dice are thrown. What is the probability that each face shows only multiples of 3 ?

Options

  1. A1 9
  2. B1 18
  3. C1 27
  4. D1 3

Correct answer

C. 1 27

Step-by-step solution

On throw of 3 dice, Number of possible outcomes =6^3=216 Favourable outcomes aligned &= (3,3,3),(3,3,6),(3,6,3),(6,3,3),(3,6,6) &(6,3,6),(6,6,3),(6,6,6) aligned Probability = Number of favourable outcomes Number of total outcomes = 8 216 = 1 27

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