Card-Stopping-Optimization

In your hands is a standard deck of 52 playing cards (26 black and 26 red). You are drawing cards one at a time. If you draw a red card you get a dollar. If you draw a black card you get fined a dollar. You can stop drawing cards anytime you want. Cards are not returned to the deck after being drawn. Come up with an optimal stopping rule that you can use to maximize your expected payoff. What is the expected payoff following your rule?

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