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. A dice game is played as follows: you pay one dollar to play, then you...

. A dice game is played as follows: you pay one dollar to play, then you roll a fair six-sided die. If you roll a six, you win three dollars. Someone claims to have won a thousand dollars playing this game nine thousand times. How unlikely is this? Find an upper bound for the probability that a person playing this game will win at least a thousand dollars.
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