You can see the entire list of rules for blackjack in Washington here. Casinos have the right not to offer Surrender.Player may double after splitting a pair.Player may double down but casino may limit to only doubling on certain hands (i.e.Let’s take a look at the some of the specific rules for casinos and card rooms in Washington state: Washington state has very fair blackjack rules. Card rooms only have blackjack and other table games. Some casinos offer slot machines, table games, bingo, horse racing, and other gambling activities but no blackjack. There are approximately 100 casinos and card rooms around the state of Washington. Like many other states around the country, you cannot play blackjack in every room that has gambling.