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99 Percentile Qs Bank for JEE MainMathematicsProbability

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

Options

  1. A8/729
  2. B8/243
  3. C1/729
  4. D8/9.

Correct answer

B. 8/243

Step-by-step solution

Possibility of getting 9 are (5, 4), (4, 5), (6, 3), (3, 6) Probability of getting score 9 in a single throw = p = 4 3 6 = 1 9 probability of getting score 9 exactly twice = 3 C ⁡ 2 1 9 2 × 8 9 = 8 2 4 3

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