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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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