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      Question

      Max has a 1/4 chance of failing

      his Quant test and a 4/5 chance of passing his Reasoning test. What is the probability that he fails exactly one of the two tests?
      A 13/20 Correct Answer Incorrect Answer
      B 9/20 Correct Answer Incorrect Answer
      C 7/20 Correct Answer Incorrect Answer
      D 3/20 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, Probability that Max fails Reasoning test = 1 - (4/5) = (1/5) Probability that Max pass the Quant test = 1 - (1/4) = (3/4) So, required probability = Probability that Max fails his Quant test but not Reasoning test + Probability that Max fails his Reasoning test but not Quant test. = {(1/4) ├Ч (4/5)} + {(3/4) ├Ч (1/5)} = (1/5) + (3/20) = {(4 + 3)/20} = (7/20)

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