In the game of keno, 82 balls (numbered 182) are mixed up, and then 20 balls are

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In the game of keno, 82 balls (numbered 1–82) are mixed up, and then 20 balls are randomly drawn. Before the 20 balls are drawn, a player chooses 10 different numbers. If at least five of the numbers are drawn, the player wins. What is the probability of winning?

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