Embodiments of this concept are directed to a method of operating a gaming device to determine game outcomes by using a range of game numbers for winning game outcomes. That is, the gaming device includes a range of numbers associated with a generic winning outcome or each winning outcome to ensure that a winning outcome or specific winning outcome will hit within the specified range. This method may be used a variety of game types including slot machines, video poker, keno, video pachinko, etc. These gaming machines may additionally include one or more proximity indicators or meters associated with the various outcomes.