Q.

A and B play a game of tennis. The condition of game is as follows. If one score 2 consecutive points after a deuce he wins (lf lose of a point is followed by win of a point is called deuce) the chance of server to win a point is 23If the game is at deuce and A is serving then the probability  that A will win the match is pq(where p & q are relatively prime) then 2p + q =

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answer is 4.

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Detailed Solution

Probability of getting deuce=23×23+13×13=59
After nth deuce, prob. That A wins
=n=059n2313=122p+q=4

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