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      Question

      A brother and a sister appear for an interview against

      two vacant posts in an office. The probability of the brother’s selection is 1/5 and that of the sister’s selection is 1/3.What is the probability of only one of them is selected
      A 2/7 Correct Answer Incorrect Answer
      B 2/5 Correct Answer Incorrect Answer
      C 4/7 Correct Answer Incorrect Answer
      D 2/11 Correct Answer Incorrect Answer

      Solution

      Probability of only one of them selected = 1/5×2/3 +4/5×1/3 =2/15 +4/15 =6/15 =2/5

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