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      Question

      A basket contains 8 pink, 12 violet, and 5 indigo balls.

      If 2 balls are picked at random without replacement, find the probability that the first ball is pink and the second ball is either violet or indigo.
      A 21/47 Correct Answer Incorrect Answer
      B 15/29 Correct Answer Incorrect Answer
      C 1755 Correct Answer Incorrect Answer
      D 19/75 Correct Answer Incorrect Answer
      E none of these Correct Answer Incorrect Answer

      Solution

      ATQ, Total number of balls = 8 + 12 + 5 = 25 Case I: First ball is pink and the second ball is violet. Probability = (8/25) × (12/24) = 8/50 = 4/25 Case II: First ball is pink and the second ball is indigo. Probability = (8/25) × (5/24) = 40/600 = 1/15 Required probability = (4/25) + (1/15) = 19/75

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