Craps barring the payout of a game being directly related to the roll of dice, Indian reservations have adapted the game to substitute cards for dice. In one variation, there are no dice at all. Two shoes are used, each containing some number of regular card decks that have been stripped down to just the Aces and deuces through sixes. The boxman simply deals one card from each shoe and that is the roll on which bets are settled. Since a card-counting scheme is easily devised to make use of the information of cards that have already been dealt, a relatively
Craps gambler's fallacy indicates that a craps player should bet on eleven if an eleven has not appeared or has appeared too often in the last 20 rolls. In practice this can be observed as players respond to a roll such as a Hard Six with an immediate wager on the Hard Six. In reality, each roll of the dice is an independent event, so the probability of rolling eleven is exactly 1/18 on every roll, regardless of the number of times eleven has come up in the last x rolls. Even if the dice are actually biased toward particular results