1. A gaming system comprising: a housing; at least one display device supported by the housing; a plurality of input devices supported by the housing, the plurality of input devices including an acceptor; at least one processor; and at least one memory device storing 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 plurality of input devices to: (a) if a physical item associated with a monetary value is received by the acceptor, establish a credit balance based at least in part on the monetary value associated with the received physical item; (b) enable a player to select one of a plurality of different skill levels; (c) receive a selection of one of the different skill levels; (d) determine one of a plurality of different versions of a game based on the selected skill level; (e) display a play of the determined version of the game; (f) if the selected skill level is a designated skill level, randomly determine an outcome of said play of the determined version of the game; (g) if the selected skill level is higher than the designated skill level: (i) receive at least one quantifiable skill input from the player in association with said play of the determined version of the game; and (ii) determine an outcome of said play of the determined version of the game based, at least in part, on the received at least one quantifiable skill input; (h) determine any awards based on the determined outcome; (i) display and provide any determined awards, the credit balance being increasable based on any determined awards; and (j) if an actuation of a cashout button is received, initiate a payout associated with the credit balance.