Earlier quoted context omitted.
Came here to say exactly this. People will play numbers games organized by the mob, so it does make sense to give them an honest game and keep the money from crooks. But the state take should be small. And absolutely no advertising.
Mob, let alone legal casino operators, would never get away with such ridiculous margins. Even organized crime faces competition from unorganized crime, your neighbor's home poker game will probably have a pretty low rake.
But we also had legal national Lotto[0], and _illegal_ Lotto betting with about the same margins.
And when sport betting got legalized, the odds given where about the same as the illegal one, until the latter de facto disappeared.
So, I'm not sure the mob would not get away with Lottery margins.
[0] the traditional Italian lotto is a betting game: you bet that 1-5 numbers will come out of an extraction, but it's up to you to choose how risky a bet and how much you bet, e.g. getting one number pays 11:1, 3 numbers gives you a 4500:1 etc