Craps in London had been the joint epithet for the numbers two and three, which in hazard are the only permanent instant losing numbers for wagers on Pass. For a century after its invention, craps was abused by casinos using unfair dice. To remedy the problem, in approximately 1907, a Philadelphia dice maker named John H. Winn introduced a layout which featured bets on both Pass and Don't Pass. Most modern casinos use his innovation. Craps exploded in popularity during World War II, which brought most young American men of every social class into the military. The street version of craps
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