Two tennis players, A and B, are playing a game. In that game, A has a 60% probability of winning any given point (with B obviously having a 40% probability). If the game gets to deuce, what is the probability that A will win the game?

I'm interested to see the reasoning behind your answer.

For anyone not familiar with tennis scoring, deuce works as follows: if the score is deuce, then whichever player wins the next point will get the advantage. If the player with the advantage wins the point after that they win the game, if they lose it the score goes back to deuce.

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Two tennis players, A and B, are playing a game. In that game, A has a 60% probability of winning any given point (with B obviously having a 40% probability). If the game gets to deuce, what is the probability that A will win the game?

I'm interested to see the reasoning behind your answer.

For anyone not familiar with tennis scoring, deuce works as follows: if the score is deuce, then whichever player wins the next point will get the advantage. If the player with the advantage wins the point after that they win the game, if they lose it the score goes back to deuce.

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