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      Question

      A basket contains 'q' pink balls and 10 grey balls. If

      the probability of getting a pink ball is 3/5, then find the probability of getting different coloured balls when two balls are drawn randomly from the basket.
      A 2/5 Correct Answer Incorrect Answer
      B 1/2 Correct Answer Incorrect Answer
      C 3/5 Correct Answer Incorrect Answer
      D 7/10 Correct Answer Incorrect Answer
      E 4/5 Correct Answer Incorrect Answer

      Solution

      Total number of balls in the basket = q + 10
      So, q/(q + 10) = 3/5
      Or, 5q = 3(q + 10)
      Or, 5q = 3q + 30
      So, q = 15
      Total balls = 15 + 10 = 25
      Desired Probability = (15C1 × 10C1)/25C2 = (15 × 10)/(25 × 24/2) = 150/300 = 1/2

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