You turn over the cards 2 at a time, if they are both red, you keep the cards, if they are both black I keep the cards. If one is red and the other is black then neither you nor I get a card. If you have more cards then I you win $100 otherwise you win nothing. What is the maximum amount you are willing to pay to play this game?
2026-03-28 11:53:27.1774698807
Card game: How much will you pay to gamble?
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As indicated in my comment, I wouldn't pay anything to play this game, since I can't win.
Assuming that there are exactly as many red as black cards in the deck (for example, if it's an ordinary 52-card deck), then at the end of the game, I will have turned over two red cards exactly as often as I will have turned over two black cards. Thus, I will have exactly as many cards as you, and I won't win any money. So, I shouldn't pay any money to play.