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    5. A box contains 6 red balls, 5 green balls, and 4 blue balls. Two balls are drawn at random. What is

    Question

    A box contains 6 red balls, 5 green balls, and 4 blue

    balls. Two balls are drawn at random. What is the probability that one ball is red and the other is blue?
    A 5/33 Correct Answer Incorrect Answer
    B 7/33 Correct Answer Incorrect Answer
    C 6/33 Correct Answer Incorrect Answer
    D 8/35 Correct Answer Incorrect Answer

    Solution

    Total balls = 6 + 5 + 4 = 15. The probability of drawing one red and one blue ball = P(Red and Blue) = (6C1 × 4C1) / 15C2 = (6 × 4) / (15 × 14 / 2) = 24 / 105 = 8/35. Correct Option: d

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