There is provided a lottery game with a supplemental game. The player plays the lottery game by selecting a plurality of numbers and the player also has the option of playing the supplemental game. The lottery authority selects a set of winning numbers for the lottery game and also selects a set of supplemental numbers. If the player has opted to play the supplemental game, his numbers will not only be compared with the winning numbers but also with the supplemental numbers. The total number of matches between the player's numbers and winning numbers and supplemental numbers determines the player's prize.