Casino Card Counting

Discrete Mathematics Level 3

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?


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