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      Question

      The likelihood that Maya secures a place in college D is

      90% and in college E is 85%. Maya's order of preference is 'D', then 'E', and finally 'F'. Assuming Maya secures admission to college 'F', what is the probability she will go to college 'F'?
      A 5.125 Correct Answer Incorrect Answer
      B 0.015 Correct Answer Incorrect Answer
      C 0.132 Correct Answer Incorrect Answer
      D 0.029 Correct Answer Incorrect Answer
      E none of these Correct Answer Incorrect Answer

      Solution

      ATQ, Maya will go to college 'F' only if she does not get into college 'D' or 'E'. So, probability that she doesn't get into college 'D' = (1 - 0.9) = 0.1 And probability that she doesn't get into college 'E' = (1 - 0.85) = 0.15 So, required probability = 0.1 × 0.15 = 0.015

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