Luka and Janie are playing a coin toss game. If the coin lands heads up,...

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Luka and Janie are playing a coin toss game. If the coin lands heads up, Luka earns a point; otherwise, Janie earns a point. The first player to reach 22 points wins the game. If 21 of the first 41 tosses have been heads, what is the probability that Janie wins the game?

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