A magician has a standard card deck with 52 cards. Half of them are red and another half is black. You can choose 2 cards or take a pair from the top. If they are both black, then you get the pair. If they are both red, then the magician takes the pair. If they are different colors, then the pair is discarded. You continue taking pairs until there are no cards in the deck. The game cost you $1 to play. The magician pays you $1 for every extra pair you have.
What do you expect to win at the end of the game?