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Craps (previously known as crabs) is a popular casino gambling game using dice. Players wager against the casino on the outcome of one roll, or of a series of rolls. The rules vary slightly
from one casino to another, but the expected value of most bets is only
slightly negative (the most favorable bets with the most favorable rules offer a house advantage of as little as 0.18%). All bets
have negative expectations, and there is no correlation between die rolls, so there is no possible winning strategy over any
given period of time. While experienced poker players, and blackjack players who learn to count cards, can gain a small mathematical advantage over extended playing
sessions by diligent study, there is no comparable strategy for craps.
Occasionally, players win several bets in a row, and such players are said to be "on a roll." Those who increase their bets
during a winning series can rapidly win substantial sums. On the other hand, money can be lost back just as quickly, as there is
no statistical likelihood of a "hot streak" continuing for any given duration. To counter this, experienced players take full
advantage of "free odds" -- bets on which there is zero house advantage.
Craps can also be played in less formal settings and is said to be popular among soldiers. In such situations side bets are
less frequent, and one or several participants make "covering" bets against the dice.
The basic game
The basic game of craps is very simple. On the first roll of the dice (the come-out roll), the shooter wins
by rolling either a 7 or 11 (a natural). Rolling craps (2, 3, or 12) loses. Any other number
(4, 5, 6, 8, 9, or 10) is called the point. To win, the point number must be rolled before a 7. Winning is also
known as passing. If a 7 is rolled before the point number, the shooter has sevened-out and
loses. The shooter relinquishes the right to shoot when he or she sevens out, the player to the left shoots next.
Types of craps bets
A casino craps table is run by four casino employees, a boxman who guards the chips; two
dealers who collect and pay bets; and a stickman who announces the results of each roll and who
collects the dice with an elongated wooden stick.
A new shooter, who must bet the table minimum on either the pass line or the don't
pass line is given five dice by the stickman and picks two.
When the shooter rolls the dice, the dealers will usually insist that they be rolled with one hand and that the dice bounce
off the wall surrounding the table. If one or both dice leave the table, the shooter will usually be asked to select another two
dice from the remaining three.
The fundamental bet in craps is the pass line bet, in which one bets that the shooter will
pass. There is also a don't pass line on which one can place a bet that the shooter will
miss out, indeed the shooter may bet that he or she will miss out. The following discussion assumes that the
shooter, as is usually the case, is betting on the pass line.
If a point is made, most casinos allow pass line bettors to take odds by placing from one to five times (and
at some casinos, up to 100 times) the pass line bet behind the line. This additional bet pays at the true odds, 2-to-1 if 4 or 10 is the point, 3-to-2 if 5 or 9 is the point, and 6-to-5 if 6 or 8 is the point. While
the house has a small (1.4%) advantage on pass line bets, the house has no advantage at all on odds bets. Therefore, taking the
maximum odds (which vary by casino) can lower the house percentage for any given bet down to as low as 0.5%.
Odds bets in craps may be the only bets offered at a casino that are completely free of house advantage probability-wise.
Let's see why that is: There are 36 possible permutations (ways to roll a pair of 6-sided dice):
1-1 = 1 way to make a 2
1-2 2-1 = 2 ways to make a 3
1-3 2-2 3-1 = 3 ways to make a 4, true odds pays 2-1
1-4 2-3 3-2 4-1 = 4 ways to make a 5, true odds pays 3-2
1-5 2-4 3-3 4-2 5-1 = 5 ways to make a 6, true odds pays 6-5
1-6 2-5 3-4 4-3 5-2 6-1 = 6 ways to make a 7
2-6 3-5 4-4 5-3 6-2 = 5 ways to make an 8, true odds pays 6-5
3-6 4-5 5-4 6-3 = 4 ways to make a 9, true odds pays 3-2
4-6 5-5 6-4 = 3 ways to make a 10, true odds pays 2-1
5-6 6-5 = 2 ways to make an 11
6-6 = 1 way to make a 12
There are a total of 36 possible combinations. So on the come out roll there are 9 ways to win, 4 ways to lose and (36-13=) 23
ways to start a point.
The odds on making the point are the ratio of number of ways to make a 7 divided by the number of ways to make the point. For
example, there are five ways to make a 6 or 8, so the odds on making a point of 6 or 8 is 6:5.
Most experienced Craps players only make Point Line and "Odds" bets since the odds are much more favourable to the player than
any other bets in Craps, and in fact most casino games.
The rules for the come and don't come wagers are the same as for Pass and
Don't Pass except that they can only be made after the come out roll. Effectively, they represent starting a new
game using the same stream of numbers being generated by the existing (pass line) game.
Because of the come bet, if the shooter makes their point, a player can find themselves in the situation
where they have a come bet with odds on it, and yet be rooting for the shooter to roll a 7 on their next come
out roll. Because of this, it is usual that odds bets on come wagers are presumed to be not
working. That means that if the shooter rolls a 7 on the come out roll, any players with active
come bets loose their initial wager but will have their odds money returned to them, unless they tell the dealer
that they want their odds working. Conversely, if the shooter rolls a number that matches an active come bet,
the original bet is paid off at even money and the odds money is returned to the player (unless they told the dealer that they
wanted their odds working, in which case they are paid at the true odds).
Casino craps layouts bar either 2 or 12 on the don't pass and don't come
bets. This means that if 2 is barred and the shooter rolls a 2 on the come out roll, the wager is a stand off and the players
money is returned.
When betting against the shooter, the bettor must put up the long side of the bet. Thus a don't pass better
who bets $10 when the point is a 4 could put $20 behind the line. If the shooter rolls a 7 before achieving their point, the
better would receive $10 for the don't pass line bet plus $5 for their odds bet. Even though the house advantage
on the don't pass and don't come bets is almost identical to the pass line and
come bets, for most players the disadvantage of putting up the long side of the bet makes the pass
line bet more desirable. Additionally, many craps players consider don't pass and don't
come bets to be in poor taste, or even "taboo".
Other types of bets
One roll bets that the shooter will make an 11 (pays 15-1, actual odds 17-1); Bets that a shooter will make a
hardway number such as 4-4 (before throwing a 7 or an 8 the easy way such as 6-2 or 5-3)(pays
9-1, actual odds 10-1). Indeed you can bet on any combination of the dice on the next roll, this is called a hop
bet, example hard 8 on the hop pays 31-1 (actual odds 35-1).
Craps is a bet that the shooter will roll 2, 3 or 12 on the next roll. The true odds are 8-1 and the casino
pays 7-1.
C & E is actually two bets. A player is betting one unit on craps and another unit on 11. One of
the two bets will always lose, and the other will pay off as above.
The "field" bet is a wager that one of the numbers in the box (usually 2, 3, 4, 9,10,11,12) will be rolled on the next roll of
the dice. This bet pays even money, but the true odds are 4:5. Often 2 and/or 12 will pay 2-1.
Most of the one roll bets, hard way bets, and other bets in the center of the layout are very costly/disadvantageous to the
player, the house percentage on these bets can be 11.1% and up. The best advice for prospective craps players is to bet either on
the pass line or don't pass line with full odds.
Players can place or buy individual numbers (4,5,6,8,9,10,11) by placing
their wager in the come area and telling the dealer, for example, "place the 6" or "buy the 8". Both are bets
that the number will be rolled before a 7. Place bets are paid at reduced odds. Buying the number results in a payoff at the true
odds, but requires a 5% commission to be paid to the casino.
Place Buy
Number Payoff Payoff
------ ------ ------
6 or 8 7-6 6-5
5 or 9 7-5 3-2
4 or 10 9-5 2-1
The Big 6 and Big 8 wagers are considered by craps players as sucker bets
because they pay even money while a player can bet on the same proposition (a 6 will be rolled before a 7) by placing the 6 or
the 8, which pays 7-6 (true odds are 6-5).
Systems
Various scam artists have, over the years, marketed "systems" that purportedly enabled players to beat the house. These do not
work. One of the best known is the Martingale "system" where you start by betting $1 and doubling your bet whenever you lose;
upon winning, you start over at $1. If you play this system, you will 1) risk losing $128 (or more, if you choose to continue
despite mounting losses) to win $1; and 2) run up against the table limit. If you continue at higher-dollar tables you could
eventually reach the point where you have no more money, at which point you would have to quit. It is because of this system that
casinos impose a limit on the amount you can bet. If you keep doubling your wager, you will eventually run up against the limit
and you will be unable to recover your previous loses on a single turn.
Other systems depend on mathematical fallacy, e.g. bet on 11 if an 11 has not appeared in the last 20 rolls. Of course, the
dice have no memory and the probability of rolling an 11 is exactly 1/18 on every roll, even if 11 has not come up in the last
100 rolls. While the sales pitches are elaborate — they have to be to be able to explain why, if their system is so good,
the casinos are still in business — no system has been mathematically proven.
The parity hedge
system is a hoax promulgated by http://www.quatloos.com. Despite the fact that no such system exists (indeed, it is a
mathematical impossibility), several gambling-related web sites have retold the 'parity hedge' story without attribution.
Another approach is to "set" the dice, by throwing them in such a way that one or both will be more likely to show certain
numbers. Unlike other systems, this one is not mathematically absurd, because if it were possible to alter the probabilities of
each outcome, then winning systems could be devised. Nevertheless, the casinos take steps to prevent this. The dice are supposed
to hit the back wall of the table, which disrupts the controlled spin. Some people offer to teach dice-setting skills, for a
substantial fee, but there are no independent verifications that such methods can be successfully applied in a real casino.
The plot of the musical Guys and Dolls revolves around some
illegal gamers of craps.
See also
External links
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