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A pair of fair dice is thrown independently three times. The probability of getting a score of exactly 9 twice is

Options

  1. A1 / 729
  2. B8 / 9
  3. C8 / 729
  4. D8 / 243

Correct answer

D. 8 / 243

Step-by-step solution

Probability of getting score 9 in a single throw = 4 36 = 1 9 Probability of getting score 9 exactly twice = ^3 C ₂ ( 1 9 )^2 8 9 = 8 243 .

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