Patent ID: 8092299

Claim:
A gaming system comprising: at least one processor, at least one input device, at least one display device, and at least one memory device which stores a plurality of instructions, which when executed by the at least one processor, cause the at least one processor to operate with the at least one display device and the at least one input device to: (a) enable a player to place one of a plurality of different wager amounts on a play a base game, each different wager amount associated with one of a plurality of wager levels, each wager level associated with a different one of a plurality of different bonus game attributes, each of the bonus game attributes having a probability of being selected for a play of a bonus game; (b) modify the probability of the bonus game attribute associated with the wager level associated with the placed wager amount; (c) determine if a bonus game triggering event occurs; (d) if the bonus game triggering event does not occur, repeat (a) to (d) until the bonus game triggering event occurs; and (e) if the bonus game triggering event occurs: (i) randomly select one of the bonus game attributes, said random selection based on the then current probabilities associated with each of the bonus game attributes, (ii) randomly determine a bonus game award, said determined bonus game award based, at least in part, on the randomly selected bonus game attribute, and (iii) display the determined bonus game award to the player.