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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 × 8/14  Second box blue cap probability = 1/2 × 7/15 Adding both =  1/2 × 8/14 + 1/2 × 7/15 = 109/210 

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