In a​ lottery, the top cash prize was ​$615 ​million, going to three lucky winners. Players pick four different numbers from 1 to 59 and one number from 1 to 49 . A player wins a minimum award of $225 by correctly matching three numbers drawn from the white balls​ (1 through 59 ​) and matching the number on the gold ball​ (1 through 49 ​). What is the probability of winning the minimum​ award?