A gaming system utilizes a game designation generating component, a gaming establishment component, and a set of predefined bingo card representations. Each bingo card representation is stored in electronic format as a data structure or data record defining a predefined pattern of game designations chosen from a pool of available designations. The game designation generating component generates sets of game designations from a pool of available designations. The method employed in the gaming system includes pre-matching the bingo card representations to a given set of game designations to produce a matched card set. This pre-matching occurs prior to the sale, distribution, or assignment of card representations to players in the game. The matched card set includes a number of game play records, each corresponding to a different one of the bingo card representations and each being associated with a result indicator which indicates whether the respective bingo card representation is a winning card or losing card for that set of game designations. Data representing these matched card sets are stored and then the individual game play records are assigned to players in response to game play requests initiated by the players.