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      Question

      Given that E and F are events such that P(E) = 0.7, P(F)

      = 0.4 and P(E ∩ F) = 0.3, find P(E|F) and P(F|E)
      A 3/4, 3/7 Correct Answer Incorrect Answer
      B 2/3, 3/7 Correct Answer Incorrect Answer
      C 3/4, 2/3 Correct Answer Incorrect Answer
      D 3/8, 3/7 Correct Answer Incorrect Answer

      Solution

      Given P(E) = 0.7, P(F) = 0.4 and P(E ∩ F) = 0.3 P(E|F) = P(E ∩ F)/ P(F) = 0.3/0.4 = 3/4 P(F|E) = P(E ∩ F)/ P(E) = 0.3/0.7 = 3/7

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