According to one embodiment, a player may accumulate occurrences of a bonus symbol over at least two outcomes. The player may be allowed a bonus if a running count of the occurrences is at least equal to a predetermined number. According to another embodiment, a player may accumulate occurrences of matched lottery numbers over a plurality of lottery outcomes (e.g., lottery number drawings) and/or a plurality of lottery entries. The player may be allowed a bonus if a running count of occurrences of matched numbers is at least equal to a predetermined number.