Ah yes, the lottery, a notorious game requiring a large amount of skill to play, and isn't a tax on the math illiterate.
Nobody but you mentioned skill. Plenty of mathematically literate people play the lottery for fun, knowing the the expected value is a loss. I personally oppose these types of state operated lotteries as regressive forms of taxation, but if they exist, they shouldn't serve the purpose of allowing capital (especially foreign capital) to extract even more money from citizens.