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    Question

    A bag contains 4 red bands, 4 green bands and 6 blue

    bands. Two bands are drawn randomly. What is the probability that at most one band is red?
    A 85/91 Correct Answer Incorrect Answer
    B 83/91 Correct Answer Incorrect Answer
    C 95/91 Correct Answer Incorrect Answer
    D 85/99 Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    ATQ, n(B) = 14 C2 n(E) = 4 C2 Probability that both are red = (4 C 2/14 C2)= (6/91) At most one ball is red = [1 - (6/91)] = (91 - 6)/91 = 85/91

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