Question

Two players are playing a coin tossing game. Player A wins $1 if the coin comes up heads and loses $1 if it comes up tails. Player B is unaware that the coin is weighted so that p(heads)=.55. They start with $3 in some way divided between them. They play until one player has no money.

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

Answer #1

Given that A and B are two players and play using a coin.

Two players are playing a coin tossing game. Player A wins $1 if
the coin comes up heads and loses $1 if it comes up tails. Player B
is unaware that the coin is weighted so that p(heads)=.6. They
start with $3 in some way divided between them. They play until one
player has no money. Write the transition matrix, P, for this game
from player A's point of view.

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