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      Question

      A box contains 6 Brown and 8 Blue caps. There is

      another box which contains 8 Brown and 7 Blue caps. One cap is to drawn from either of the two boxes. What is the probability of drawing a Blue caps?
      A 101/210 Correct Answer Incorrect Answer
      B 75/210 Correct Answer Incorrect Answer
      C 120/156 Correct Answer Incorrect Answer
      D 109/210 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Probability of one box = 1/2 First box blue cap probability = 1/2 Γ— 8/14Β  Second box blue cap probability = 1/2 Γ— 7/15 Adding both =Β  1/2 Γ— 8/14 + 1/2 Γ— 7/15 = 109/210Β 

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