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      Question

      Karan has a 65% chance of being admitted to school L and

      a 55% chance at school M. His preferences are 'L', then 'M', and lastly 'N'. Assuming Karan gets into school 'N', what is the probability that he will attend 'N'?
      A 0.1575 Correct Answer Incorrect Answer
      B 0.0152 Correct Answer Incorrect Answer
      C 0.1320 Correct Answer Incorrect Answer
      D 0.0290 Correct Answer Incorrect Answer
      E none of these Correct Answer Incorrect Answer

      Solution

      ATQ, Karan will attend school 'N' only if he isn't accepted to school 'L' or 'M'. So, probability that he doesn't get into School 'L' = (1 - 0.65) = 0.35 And probability that he doesn't get into school 'M' = (1 - 0.55) = 0.45 So, required probability = 0.35 Γ— 0.45 = 0.1575

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