Like the lotto, the state can clear it through the entire state.
It's not quite that easy. Gambling regulations vary from state to state, and in tribal lands, vary within each of these. Each of the tribes agree to a compact with the state, and have to follow the rules of this compact. Of course, these can vary from tribe to tribe, just like the regulations vary state by state. For example, in Iowa, gambling is only allowed on Native American lands, or on a barge-like vessel on a lake or river, or in a horse or greyhound track facility; and in the latter two, it is only allowed if a referendum in the county where it is located has been voted on and passed. In Mississippi, it is only allowed on barges. In Missouri, again, it is only allowed on riverboats, and there is a loss limit imposed there for players. North Dakota and Minnesota only allow gambling on tribal lands, Wisconsin only allows it on tribal lands, no gambling at all in the state of Utah, in California it is only allowed on tribal lands. I could continue, but, as you can see, it is extremely complex. Then there is also the question about which types of gambling are allowed per state. Some jurisdications limit table games and games of chance. There are different classes of slot machines, class 1, 2, and 3, and depending on what state you are in will determine what class of slot machines are allowed to be used. If a train stayed solely within the jurisdiction of one gaming regulatory agency, then they could conceivably legally allow this. But, probably not feasible. I work in the gaming industry, so, knowing what is allowed and what is not allowed per state is important for us to know, and obviously it is required for us to follow each and every rule for each and every jurisdiction we do business with. Amtrak, or any other gambling entity, would obviously have to follow the same rules.