I accept that a state monopoly is better than making the mob richer and stronger. However given that it's mostly the poor that play lotteries, bingo, etc and al

I accept that a state monopoly is better than making the mob richer and stronger. However given that it's mostly the poor that play lotteries, bingo, etc and all of them are rigged against the players, the state should find a way to give back most of those money to the players (there are expenses to keep it running.) If a private company is running it for the state, the margin should be small. This is maybe even something a politician could use in a campaign.