Hawaii and Utah
The only two states without legalized gambling of any kind are Hawaii and Utah.
Hawaii occasionally considers gaming measures, including casinos and a state lottery, but they rarely get very far into the legislative process.
In Utah, there are a few days of non-pari-mutuel Quarter Horse racing each year. Races are held at Laurel Brown Racetrack at the Salt Lake County Equestrian Park and Events Center in South Jordan and at Dixie Downs in St. George.