Casino Card Counting
A Casino offers the following card game which uses a standard deck of 52 cards. Each time, you turn over 2 cards.
- If both cards are red, you keep them.
- If both cards are black, the dealer keeps them.
- If both cards are different colors, they get discarded.
You win the game if you end up with (strictly) more cards than the dealer. If so, you get X times of the amount that you bet. Should you play this game?