Question

Markov Chains:

In baseball, basketball, tennis, and various other sports, the winner of a tournament is determined by a best of five or best of seven rule; that is, whichever team can win three or, respectively, four games first is the winner of the series. Such tournaments are presumed to be more fair than a single elimination game in determining the better team, since the outcome of any single game has a large element of chance. Suppose that two teams, A and B, are involved in a best of five tournament and that team A is slightly favored. In particular, the probability that team A will win in any single game against the other is 0.52. Before any games are played, one would “expect” A to win the series. However, during the series if B should happen to be ahead of A in wins, it might have the advantage. This problem is about the relative advantage of being the better team as opposed to being ahead in games. Formulate a terminating Markov chain to describe the tournament.

Please give the answer in either Matrix Form or as a Transition Diagram for a thumbs up. Thank you

Answer 1