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  • Ram and Ramesh appeared in an interview for two vacancies in the same department. The probabilities of Ram's selection is <img alt="1 / 6" src="https://entrancecorner.oncodecogs.com/gif.latex?1

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

Option: 1

47 / 48


Option: 2

13 / 48


Option: 3

1 / 4


Option: 4

35 / 48


Answers (1)

best_answer

\mathrm{\text{Probability of Ram selection }P(R)=\frac{1}{6}}
\mathrm{\text{Probability of Ramesh selection P (Ram) }=\frac{1}{8}}

Probability that only one of selection = \mathrm{P(R) \cdot \bar{P}( Ram )+\bar{P}(R) \cdot P( Ram )}
                                                          \mathrm{=\frac{1}{6}\left(1-\frac{1}{8}\right)+\left(1-\frac{1}{6}\right) \times \frac{1}{8} }
                                                          \mathrm{=\frac{7}{48}+\frac{5}{48}=\frac{1}{4}} 
 

Posted by

Sanket Gandhi

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