Beyond the "big four" casino table games of baccarat, blackjack, craps, and roulette, over 1000 different games have been designed, proposed for casino use, and approved by the state of Nevada. In this presentation, we shall look at the math behind some of the games that have fallen by the wayside and at the mathematical issues that arise in designing a new game of chance. An opportunity to investigate the mathematics behind a new game proposal will be announced.