Gaming device and method providing relatively large awards with variable player participation levels

A number matching game which includes a matching game with multiple number sets. A player can win standard Keno paytable awards in addition to relatively large awards. A player's initial set has a minimum size requirement for the player to be eligible for the relatively large award. The gaming machine provides supplemental numbers to the player if the player does not select the minimum quantity of numbers. Any supplemental numbers created for the player cannot be used towards the Keno paytable awards. In one embodiment, odds of winning the relatively large awards are kept proportionate with the player's wager level.