Gaming system and method for enabling a player to select progressive awards to try for and chances of winning progressive awards

A gaming system comprising:

• at least one central controller programmed to maintain a plurality of progressive awards;
• and
• a plurality of gaming machines, each gaming machine operable under control of at least one gaming machine processor and configured to communicate with the at least one central controller, each gaming machine including:
• at least one display device configured to display a game, said game including a plurality of game components;
• at least one memory device;
• and
• at least one input device;
• said at least one gaming machine processor programmed to operate with said at least one input device, said at least one display device and said at least one memory device to control a play of the game by:
• (i) displaying an indication of the plurality of progressive awards and the plurality of game components,
• (ii) associating a supplemental award with each of the progressive awards and each of the game components,
• (iii) causing a selection of one of the progressive awards and one of the game components,
• (iv) determining whether to provide the selected progressive award to a player, wherein the determination is based, at least in part, on the selected game component,
• (v) if the determination is to provide the selected progressive award, providing the selected progressive award and the supplemental award associated with the selected progressive award to the player, and
• (vi) if the determination is not to provide the selected progressive award:
• (a) modifying the supplemental award associated with the selected progressive award, and
• (b) repeating (iii) to (vi) until an ending condition occurs.