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    Question

    If 2 pens are drawn at random what is the probability

    that none of them is blue? A basket contains 3 blue, 5black and 3 red pens.
    A 21/55 Correct Answer Incorrect Answer
    B 3/55 Correct Answer Incorrect Answer
    C 28/55 Correct Answer Incorrect Answer
    D 8/33 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let S be the sample space. Then, N(S) = number of ways of drawing 2 pens out of 11 = ¹¹CтВВ = (11 ×10 )/(2 ×1) = 55 Let E = event of getting none of them is blue. n(E) = тБ╕CтВВ = (8 ×7 )/(2 ×1) = 28 n(P) = (n(E))/(n(S)) = 28/55

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