Consider a game of tennis between player A and player B that has reached the state deuce (or 40-40). Continuing from this point, after each rally, the game will be in one of the five states-A wins, B wins, Deuce, Advantage A, or Advantage B. Suppose that the stochastic matrix for the remainder of the game is

(a) What is the probability that player A will win the game? Player B?
(b) What is the expected number of rallies?

Transcribed Image Text:

A B Ad Ad wins wins D A A wins 1 .4 B wins 1 .6 Deuce .6 4 Ad A 4 0. .6 Ad B