Statistics And Probability Question 222

Question: n cadets have to stand in a row. If all possible permutations are equally likely, then the probability that two particular cadets stand side by side, is

Options:

A) $ \frac{2}{n} $

B) $ \frac{1}{n} $

C) $ \frac{2}{(n-1),!} $

D) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

  •                 Total number of ways  $ =n! $ .                          Favourable cases  $ =2(n-1)! $                     Hence required probability  $ =\frac{2(n-1)!}{n!}=\frac{2}{n} $ .