Question: Please help with the Markov Chain - transition matrix question. Thank you. Lisa and Bethplay the card game. They both start with $5, after each

Please help with the Markov Chain - transition matrix question. Thank you.

Lisa and Bethplay the card game. They both start with $5, after each game, the winner will receive $1 from the loser. The game come to stop when one or the other goes bankrupt with $0.

The probability that Bethwins each game is 0.45.

Question: what is the transition Matrix

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