Ten years later, bingo and raffles became a hit statewide, but still long after the majority of states allowed it.ĭespite the slow start, gambling in Oklahoma became a widespread phenomenon after the 2004 bill. It was only in 1982 that betting on horse races became legit. The main oddity of Oklahoma gambling laws consists of their tardiness, being one of the last states to regulate any form of wagering. 1 Best Online Casino Sites for Oklahoma.