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      Question

      A box holds a total of 'p' purple balls and 5 silver

      balls. Two balls are drawn sequentially without replacement. The probability that both selected balls are purple is given as 3/7 . Determine the value of 'p'.
      A 10 Correct Answer Incorrect Answer
      B 12 Correct Answer Incorrect Answer
      C 11 Correct Answer Incorrect Answer
      D 14 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      p*(p-1)/ [(p+5)*(p+4)] = 3/7 By using optional method, (10*9)/ (15*14) = 90/210 = 3/7 p = 10

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