Another Craps proposition I find out this information while searching in online links directory is to bet even money that the thrower will or will not roll two called numbers in two rolls.

Anytime anyone offers you a two-roll proposition bet at even money, it's a 20 to 1 shot that he's a hustler. These bets are sucker bets from the word go. Most two-roll bets are made against the shooter. The percentages against or in favor of the shooter are given on the hustlers' most popular two-roll bets.

A standard hustler's dodge, usually made in Private Crap’s games, is to offer to bet even money that he will throw a six and an eight before throwing two sevens. The person who accepts this proposition usually figures he has the better of the deal, especially if he knows that the odds against throwing a six before a seven are 6 to 5, and the same odds hold for the eight.

This reasoning would be okay only if the hustler proposed throwing a six first and then an eight, or vice versa. In that case, the odds would be against the hustler the same as if he had bet even money that he would throw six against a single seven.

But the hustler bets that he will throw a six and eight before two sevens. He can throw either number first and thus has 50 chances against 36. Subtract losing from winning throws and we find that the hustler has 14 more chances of winning than losing for an edge of 14/86, or 16.28%.

A proposition usually offered in places where .dice playing is permitted is for the hustler to offer even money that he will throw an ace or deuce in one roll using two dice. The hustler sometimes explains to  the prospective mark that the chance of rolling either an ace or deuce with one die is 2 to 1 against, and two rolls with one die makes it a 50-50 proposition because there is no difference in rolling one die twice or two dice once.

Before reading further, can you figure out the correct answer to this problem and what the hustler's favorable percentage is?

If you run into trouble or don't like puzzles or feel the price you paid for this book entitles you to the answer without wear and tear on the brain cells, here's the answer. The correct odds are 5 to 4 in favor of a hit, for a favorable edge for the hustler of 11 1/9%.

Nearly all the hustler's propositions made in private dice games that make use of two, three, four or five dice involve either the total of the numbers thrown or a specific combination or hand. For example, you may be offered 20 to 1 that you can't throw exactly 16 on a single roll of three dice (the correct odds are 35 to 1). Or you may be offered 50 to 1 you don't throw three fives exactly with a single roll of four dice (the correct odds are 63.8 to 1). Or you may be offered 5 to 1 you don't throw a pair of sixes exactly on a single roll of five dice (the correct odds are 11.9 to 1).

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