In a​ lottery, the top cash prize was ​$632​million, going to three lucky winners. Players pick four different numbers from 1 to 57 and one number from 1 to 44. A player wins a minimum award of $100 by correctly matching two numbers drawn from the white balls​ (1 through ​57) and matching the number on the gold ball​ (1 through 44​). What is the probability of winning the minimum​ award?