A method of gaming in a gaming system includes conducting a plurality of game rounds, determining as part of each game round whether a designated game event has occurred, each designated game event conferring a benefit on the player in at least one game round, increasing a count in response to the designated game event occurring in a game round, and ending the series of game rounds in response to the count reaching a designated number, whereby the number of game rounds is determined by occurrence of the designated game event in plural game rounds to thereby set a minimum number of game rounds.