One of our principals is a retired chaired professor in the Information and Decision Sciences areas. He and his wife enjoy gambling and he loves analyzing games - especially those that have a positive expected value.
Below is an academic analysis of Ultimate-X Video Poker that illustrates some of the computational approaches used to analyze Video Poker games.
Here is a preliminary analysis of a new game (by International Game Technology) called Ultimate X Bonus Streak:
Here are two links to academic papers that show how various "bots" were used to play optimally at online casinos.