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    Question

    Sneha has a 4/9 probability of passing the exam, while Neha

    has a 5/7 probability of failing. What is the probability that both Sneha and Neha either pass or fail the exam together?
    A 11/21 Correct Answer Incorrect Answer
    B 4/9 Correct Answer Incorrect Answer
    C 8/9 Correct Answer Incorrect Answer
    D 2/3 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Probability of Sneha failing the exam = 1 - (4/9) = (5/9)
    Probability of Neha passing the exam = 1 - (5/7) = (2/7)
    Probability of both Sneha and Neha passing the exam = (4/9) X (2/7) = (8/63)
    Probability that both Sneha and Neha failing the exam = (5/9) X (5/7) = (25/63)
    So, required probability = (8/63) + (25/63) = (33/63) = (11/21)

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