imo class 12 probability

A pair of dice is rolled. Given that the sum of the numbers appearing on the dice is 8, the probability that a 3 appeared on at least one die is:

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A pair of dice is rolled. Given that the sum of the numbers appearing on the dice is 8, the probability that a 3 appeared on at least one die is:

  • A. 1/5
  • B. 2/5
  • C. 3/5
  • D. 1/4

Answer: B) 2/5

Explanation: Sample space for sum 8: {(2,6), (3,5), (4,4), (5,3), (6,2)}. Total outcomes = 5. Outcomes with a 3 = {(3,5), (5,3)}. Probability = 2/5.

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