Patent ID: 7607978

Claim:
A gaming system comprising: at least one input device; at least one display device configured to display a game, said game at least including: (i) a first selection, wherein a probability of achieving a first ranked outcome for said first selection is higher than a probability of achieving a second, lower ranked outcome for said first selection and an award associated with achieving the second ranked outcome for said first selection is greater than an award associated with achieving the first ranked outcome for said first selection, and (ii) a second selection, wherein a probability of achieving the second ranked outcome for said second selection is higher than a probability of achieving the first ranked outcome for said second selection and an award associated with achieving the first ranked outcome for said second selection is higher than an award associated with achieving the second ranked outcome for said second selection, wherein the awards and probabilities are configured such that a total expected value for the first selection equals or approximately equals a total expected value for the second selection; at least one processor; 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 input device and the at least one display device to: (a) enable a player to place a wager on one of said selections achieving one of said ranked outcomes; (b) generate the first ranked outcome or the second, lower ranked outcome for the wagered on selection, wherein said ranked outcome is generated based on the probabilities associated with said wagered on selection; (c) display the generated ranked outcome to the player; and (d) provide the player the award associated with the wagered on selection achieving the generated ranked outcome.