Two players (player A and player B) are playing a game against each other repeatedly until...

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Two players (player A and player B) are playing a game againsteach other repeatedly until one is bankrupt. When a player wins agame they take $1 from the other player. All plays of the game areindependent and identical. Suppose player A starts with $6 andplayer B starts with $6. If player A wins a game with probability0.5, what is the probability the game ends (someone loses all theirmoney) on exactly the 10th play of the game?

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Its a fair and unbiased game between A and B where Both A and B starts with 6 each Each win gives 1 to the winning player and Each lose cost 1 to the losing player All rounds played between A and B are    See Answer
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