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      Question

      A container has 'p' orange balls and 15 purple balls. If

      the probability of getting an orange ball is 2/5, then find the probability of getting different coloured balls when two balls are drawn randomly from the container.
      A 3/8 Correct Answer Incorrect Answer
      B 2/5 Correct Answer Incorrect Answer
      C 1/2 Correct Answer Incorrect Answer
      D 3/5 Correct Answer Incorrect Answer
      E 2/3 Correct Answer Incorrect Answer

      Solution

      Total number of balls in the container = p + 15
      So, p/(p + 15) = 2/5
      Or, 5p = 2(p + 15)
      Or, 5p = 2p + 30
      So, p = 10
      Total balls = 10 + 15 = 25
      Desired Probability = (10C1 ├Ч 15C1)/25C2 = (10 ├Ч 15)/(25 ├Ч 24/2) = 150/300 = 1/2

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