Consider a game of tennis from deuce onward. Starting at the state of cleuce, if the...

 

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Consider a game of tennis from deuce onward. Starting at the state of cleuce, if the server wins, the score is ad-in. If the server then loses the next point, the game is back to deuce. However, if the server wins two points in a row, he wins the game. Similarly, starting at the state of deuce, if the returner wins, the score is ad-out. If the returner then loses the next point, the game is back to deuce. But if the returner wins two points in a row, he wins the game. Let player A's probability of winning a point be 0.6. Moreover, the winner gets $20, and the loser pays $20. Calculate Player A's probability of winning the match in the state of deuce. Consider a game of tennis from deuce onward. Starting at the state of cleuce, if the server wins, the score is ad-in. If the server then loses the next point, the game is back to deuce. However, if the server wins two points in a row, he wins the game. Similarly, starting at the state of deuce, if the returner wins, the score is ad-out. If the returner then loses the next point, the game is back to deuce. But if the returner wins two points in a row, he wins the game. Let player A's probability of winning a point be 0.6. Moreover, the winner gets $20, and the loser pays $20. Calculate Player A's probability of winning the match in the state of deuce.

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To calculate As probability of winning the match from the state of deuce we can break down the possi... View the full answer