Patent ID: 7785195

Claim:
A gaming device comprising: at least one display device; at least one input device; at least one processor; and at least one memory device which stores a plurality of instructions, which when executed by said at least one processor cause said at least one processor to operate with said at least one display device and said at least one input device to control a play of a game by: (a) determining an initial position from a plurality of positions, each of said positions is in one of a plurality of position ranges, and each of said position ranges is associated with a plurality of position moves, the position moves associated with a first position range include positive values and the position moves associated with a second position range include positive and negative values, and a plurality of awards are associated with a plurality of said positions; (b) enabling a player to accept or reject any award associated with the determined position; (c) providing the player any award associated with the determined position if the player accepts said award; and (d) if the player rejects said award: (i) selecting one of the plurality of position moves associated with the first range of positions if said determined position is in the first position range, (ii) selecting one of the plurality of position moves associated with the second range of positions if said determined position is in the second position range, (iii) determining another position from said plurality of positions, said other position is based on at least one of the previous determined positions and said selected position move, and (iv) repeating steps (b) to (d) until said award is a final award.