# What the Deuce? Djokovic V/s Federer

In a grueling Wimbledon final the scoreline is tied at $$2$$ sets all. In the final set, Djokovic who is leading the set $$7-6$$, is serving for game set and match. After six points, scores are level at $$40-40$$ Deuce.

Having the serve, Djokovic has a $$0.75$$ chance of winning a point against Federer while a tiring Federer has a $$0.25$$ chance of winning a point against Djokovic.

What is the probability that Djokovic wins this game after Deuce is reached?

Details and assumptions

• To win the game, Djokovic can win the first $$2$$ points.
• If he wins the first point and loses the second, its back to Deuce
• If he loses the first point and wins the second, its back to Deuce.
• If he loses the first $$2$$ points he loses the game.
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