Methods of administering wagering games may involve accepting a base game wager from a player to participate in a base game. The base game may involve presenting one or more lammers in response to an occurrence of one or more chance events, acceptance of one or more player instructions affecting game play of the base game, or the occurrence of the one or more chance events and the acceptance of the one or more player instructions affecting the game play of the base game in response to the occurrence of the one or more chance events. A side wager may be accepted from the player before any qualifying lammers can be presented. The side wager may be resolved by determining whether any qualifying lammers have been presented. A payout on the side wager may be paid to the player in response to a presence of at least one qualifying lammer.