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If three fair dice are thrown and the sum is an odd number, then the probability that all the three dice show an odd number is

Options

  1. A3 4
  2. B1 2
  3. C5 6
  4. D1 4

Correct answer

D. 1 4

Step-by-step solution

Total cases = sum on 3 dice is an odd number = 6 × 6 × 6 2 = 108 Favourable cases = all three dice show an odd number = 3 × 3 × 3 = 2 7 Required probability = 27 108 = 1 4

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