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Consider a twon with n people. A person ...

Consider a twon with n people. A person spreads a rumour to a second, who in turn repeats it to a third and so on. Supppose that at each stage, the recipient of the rumour is chosen at random from the remaining (n-1) people. The probability that the rumour will be repeated n times without being repeated to the originator is

A

`(n-1)/n`

B

`(n-1)/((n-2)(n-3))`

C

`(1-1/(n-1))^(n-1)`

D

`((n-2)/(n-1))`

Text Solution

Verified by Experts

The correct Answer is:
C
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