Two players are playing a coin tossing game. Player A wins $1 when the coin comes up heads and loses $1 when it comes up tails. Player B is unaware that the coin is weighted so that p(heads)=.52. They start with $4 divided in one dollar units between them. They play until one player has no money (is "ruined").

A-Write the transition matrix, G, for this game from player A's point of view.

B-On average, how many times will player A have $3 if player A starts with $2?

C-On average, how many plays will it take until one of the players is ruined if player A starts with $3?