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You are choosing between two games. In one game you flip a fair coin 10 times, and you win if you get exactly 4 tails.

You are choosing between two games. In one game you flip a fair coin 10 times, and you win if you get exactly 4 tails. In the second game, you flip a weighted coin. Heads comes up 80% of the time, and tails comes up 20% of the time. In the second game, however, you only need to get one tail out of 10 flips. In which game do you have a better chance of winning?

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