A method of managing a blackjack game is provided. A blackjack game bet comprising a bet against a house entity on a blackjack hand is received from a player. A pair of cards is determined for a hand for the house entity, and another pair of cards is determined for a hand for the player. The odds of the occurrence of one or more subsequent events are determined based at least in part on one or more of the pair of cards selected for the house entity's hand and one or more of the pair of cards selected for the player's hand. The odds for an additional bet are determined based at least on the determined odds for the one or more subsequent events, and the additional bet is offered to the player at the determined odds for the additional bet.