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    Question

    A bag consists of тАШxтАЩ orange balls and 4 purple

    balls. If the probability of taking out an orange ball is 7/11, find the probability of getting one orange and one purple ball in two draws.
    A 10/21 Correct Answer Incorrect Answer
    B 28/55 Correct Answer Incorrect Answer
    C 21/40 Correct Answer Incorrect Answer
    D 11/12 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Total balls = x + 4 So, x/(x + 4) = 7/11 Or, 11x = 7x + 28 So, x = 7 Desired Probability = (7C1 ├Ч 4C1)/(11C2) = (2 ├Ч 7 ├Ч 4)/(11 ├Ч 10) = 28/55

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