In a​ lottery, the top cash prize was ​631 $ ​million, going to three lucky winners. Players pick 4 different numbers from 1 to 58 and one number from 1 to 47 .
A player wins a minimum award of 200 by correctly matching 2 numbers drawn from the white balls​ (1 through 58 ​) and matching the number on the gold ball​ (1 through 47 ​). What is the probability of winning the minimum​ award?