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    Question

    A bag contains 5 red balls, 7 green balls, and 6 blue

    balls. Two balls are drawn at random. Find the probability that the two balls are green.
    A 8/51 Correct Answer Incorrect Answer
    B 7/51 Correct Answer Incorrect Answer
    C 6/51 Correct Answer Incorrect Answer
    D 5/51 Correct Answer Incorrect Answer
    E 3/17 Correct Answer Incorrect Answer

    Solution

    Number of ways of selecting two green balls = 7 Câ‚‚
    Total number of balls = 5 + 7 + 6 = 18
    Number of ways of selecting two balls = 18 C2â‚‚
    Probability = 7 C₂ ÷ 18 C₂ = (7 × 6) ÷ (18 × 17) = 42 ÷ 306 = 7/51

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