The present invention provides methods and devices for providing a first wagering game (such as a bingo game) that presents a changing pool of displayed game outcomes for a second wagering game (such as a Class III game), preferably on a network of gaming machines. Some implementations of the invention provide a bingo game that presents a changing pool of displayed game outcomes for a slot game or a poker game. In some preferred implementations, game outcomes are generated, e.g., by individual gaming machines, on an ongoing basis and stored in memory. Each of the game outcomes corresponds with a bingo outcome. Preferably, the game outcomes are sorted and stored according to payout amounts for various bingo outcomes. In some implementations, the game outcomes are stored in the form of random number generating (“RNG”) seeds, but in other implementations the game outcomes are stored in a variety of other forms.