Henry and Samantha have decide to gamble on a game of chance. Initially, each of them has 2 dollars. Samantha has a bit more experience. Therefore, each turn results in Henry winning with probability 0.2, Samantha winning with probability 0.25, and otherwise it's a draw. Whenever someone wins, they give the other 1 dollar. They play until someone runs out of money. Model the progress of the game as a Markov chain. Write down transition matrix, identify matrices Q and R.

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