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Ram and Ramesh appeared in an interview for two vacancies in the same department. The probability of Ram’s selection is $1/6$ and that of Ramesh is $1/8$. What is the probability that only one of them will be selected?

  1. $47/48$
  2. $1/4$
  3. $13/48$
  4. $35/48$
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Selection of RAM and not Ramesh is $1/6 \times 7/8$ and selection of Ramesh and not Ram is $1/8 \times 5/6.$ So, net probability is $12/48 = 1/4.$

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