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      Question

      A basket contains ‘x’ red apples and 12 green

      apples. If the probability of selecting a red apple is 2/5, then find the probability that two apples picked at random are of different colours.
      A 10/21 Correct Answer Incorrect Answer
      B 48/95 Correct Answer Incorrect Answer
      C 21/40 Correct Answer Incorrect Answer
      D 11/12 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, Total = x + 12 So, x/(x + 12) = 2/5 Or, 5x = 2x + 24 So, x = 8 Desired Probability = (8C1 × 12C1)/(20C2) = (2 × 8 × 12)/(20 × 19) = 96/190 = 48/95

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