In a​ lottery, the top cash prize was ​$678 ​million, going to three lucky winners. Players pick 4 different numbers from 1 to 55 and one number from 1 to 41. A player wins a minimum award of $525 by correctly matching numbers drawn from the white balls​ (1 through 55 ​) and matching the number on the gold ball​ (1 through 41 ​). What is the probability of winning the minimum​ award?



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