Abstract: Wagering systems with a payout percentage that exceeds 100% of wagers are presented. The payouts of these wagering systems may include unrestricted credits and/or restricted credits. Players may cash out unrestricted credits at virtually any point, but may be limited in when and/or how they can cash out or play restricted credits. By providing payouts in the form of unrestricted credits and/or restricted credits, players may find their experience with the wagering systems to be more engaging, enjoyable, and longer-lasting. Moreover, the limitations on the use of restricted credits may allow the casino operator to maintain a reasonable profit margin despite the increased duration of play.

Abstract: Players in a multi-state card game, such as blackjack or baccarat, are presented with opportunities to exchange their cards for new cards when the card game is in one or more particular states. These opportunities may include offers to redeal the player's hand of cards or redeal the player's opponent's hand of cards. Additionally, when the player is dealt a new card to be added to the player's hand, the player may be offered options to discard the new card, replace the new card with another new card, or to redeal the player's hand and/or the opponent's hand. In this way, the player may be able to improve his or her position in the card game. At the same time, the game provider may charge the player for acceptance of these offers, thus improving the profit margin of the game provider.

Abstract: A player of a card game, such as poker, is presented with opportunities to replace one or more of the cards in his or her hand. The first such replacement may be free, but the player may incur a cost for each subsequent replacement. This cost may be based on how much the player is expected to benefit from the replacement. Facilitating these subsequent replacements may allow the player to improve a poor hand, thus enhancing the player's excitement of playing the card game.