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    Question

    A bag contains 6 yellow balls, 8 purple balls, and 4 black

    balls. Two balls are drawn at random. Find the probability that the two balls are purple.
    A 14/153 Correct Answer Incorrect Answer
    B 28/153 Correct Answer Incorrect Answer
    C 32/153 Correct Answer Incorrect Answer
    D 8/51 Correct Answer Incorrect Answer
    E 2/17 Correct Answer Incorrect Answer

    Solution

    Number of ways of selecting two purple balls = 8 C₂
    Total number of balls = 6 + 8 + 4 = 18
    Number of ways of selecting two balls = 18 C₂
    Probability = 8 C₂ ÷ 18 C₂ = (8 × 7) ÷ (18 × 17) = 56 ÷ 306 = 28/153

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