In California state Can illegal immigrants buy lottery tickets what happens if one wins?

For my own opinion it is legal for illegal immigrant to buy and play a lottery game, because if there aren't! the goverment should put in writing at the back of the ticket that no illegal or undocumented resident can buy or play the lottery game or they can even put an ads outside of every store or groceries store that selling lottery game, that undocumented or illegal immigrant can't buy or play lottery game. But since theren't doing that it is legal for any illegal or undocumented one to play and collect prices. And one more things if the goverment did that, i think the lottery game will be out of business soon, because the majority of lottery buyers are mostly undocumented or illegal immigrants.