Systems, methods, devices, and non-transitory media of the various embodiments provide games and/or gaming machines that conform to Class II regulations, while producing randomness similar to Class III machines by assigning a set of common numbers to a unique machine map to create one or more randomized patterns which correspond to plurality of symbols outputting a game of chance on the display based at least in part on the one or more randomized patterns, wherein the game of chance is a new game or an existing game including but not limited to poker, keno, video reels, bingo, etc.