If you bet $1 on Red and it comes up 32 times in a row, you are now rich.
If you hit until your hand is worth 21 and it never goes over 21, you are now rich.
If the slot machine hits the jackpot every time for a week straight, you are now rich.
4. Texas Hold'em (or any other poker variant)
If nobody ever has to put down money because nobody can ever beat your hand, then you are now rich.
5. Chess or Go or Checkers or whatever game you want to play
If you can beat every opponent who challenges you for $1 million an hour then you are now rich.