Wyoming does not have any licensed poker rooms throughout the entire state. This is probably one of the main reasons why so many poker players from Wyoming are playing online or finding a regular home game to play. The laws are fairly lenient and you could even argue that playing poker might be legal here.
Wyoming Gambling Laws
There is fairly good chance that a reasonably good lawyer could argue that playing poker is legal here. Gambling does not include "Bona fide contests of skill, speed, strength or endurance in which awards are made only to entrants or the owners of entries" according to the Wyoming gambling law definitions. If convicted of illegal gambling, you will be charged with a misdemeanor offense.
Where to play live poker in Wyoming
Wyoming has a small population, so the fact that there are no licensed poker rooms in the state should not be much of a surprise. The only live poker games in this state are social games between friends, which isn't necessary a bad thing.