Statistics And Probability Question 287

Question: 5 persons A, B, C, D and E are in queue of a shop. The probability that A and E always together, is

Options:

A) $ \frac{1}{4} $

B) $ \frac{2}{3} $

C) $ \frac{2}{5} $

D) $ \frac{3}{5} $

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Answer:

Correct Answer: C

Solution:

  •                 Total number of ways  $ =5\,! $             Favourable number of ways  $ 2\,.\,4\,! $                     Hence required probability  $ =\frac{2\,.\,4\,!}{5\,!}=\frac{2}{5} $ .