In a similar state​ lottery, a person picks one of the​ 10,000 four-digit numbers between 0000 and 9999 and​ (with a​ $1 bet) wins ​$7500 if​ he/she gets it correct. In terms of expected​ winnings, with which game is a player better off − playing this​ game, or playing the first game in which the person wins ​$750 for a correct choice of a​ three-digit number? Justify your answer. Choose the correct answer below.