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)=.55. They start with $4 divided in one dollar units between them. They play until one player has no money (is "ruined").

PART A

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

PART B

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

PART C

Find FR.

PART D

Find the probability that player A will be ruined if each player starts with $2.