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    Question

    A bag contains 9 white balls, 6 black balls, and 3 green

    balls. Two balls are drawn at random. Find the probability that the two balls are white.
    A 13/51 Correct Answer Incorrect Answer
    B 10/51 Correct Answer Incorrect Answer
    C 5/17 Correct Answer Incorrect Answer
    D 4/17 Correct Answer Incorrect Answer
    E 17/51 Correct Answer Incorrect Answer

    Solution

    Number of ways of selecting two white balls = 9Câ‚‚
    Total number of balls = 9 + 6 + 3 = 18
    Number of ways of selecting two balls = 18 Câ‚‚
    Probability = 9 C₂ ÷ 18 C₂ = (9 × 8) ÷ (18 × 17) = 72 ÷ 306 = 4/17

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