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Probability

Question
CBSEENMA12036173

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

  • 1/729

  • 8/9

  • 8/729

  • 8/243

Solution

D.

8/243

Probability of getting score 9 in a single throw = 4/36 = 1/9
Probability of getting score 9 exactly twice = straight C presuperscript 3 subscript 2 space straight x space open parentheses 1 over 9 close parentheses squared space straight x 8 over 9 space equals space 8 over 243

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