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A chess game between two grandmasters X ...

A chess game between two grandmasters X and Y is won by whoever first wins a total of two games. X's chances of winning or loosing any perticular game are a, b and c, respectively. The games are independent and a+b+c=1.
The probability that X wins the match after (n+1)th game `(nge1)`, is

A

`na^2b^(n-1)`

B

`na^2b^(n-2)(b+(n-1)c)`

C

`na^2bc^(n-1)`

D

`nab^(n-1)(b+nc)`

Text Solution

Verified by Experts

The correct Answer is:
(b)
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