Craps Numbers Odds
Casino Craps Odds
The essential starting ground for craps odds and probabilities is with the dice roll itself. Since bets are made based on the potential outcome of the dice, knowing how often, or how infrequently a number combination will occur is the foundation for betting odds in craps. How the Craps Bet Works Craps sees you win when a 2, 3, or 12 is rolled, and you lose with any other number combination. These three numbers combine to offer you four out of 36 dice combinations that’ll result in a win, or 8:1 true odds. There are 36 possible number combinations in craps. Here is a chart showing the possible combinations for each number using two die. From the chart, you can see that the most likely number you'll roll is a 7, followed by the 6 and the 8, then 5 and 9, then 4 and 10, then 3 and 11, and finally (and least likely) the 2 and the 12.
Knowing the mathematical odds of the dice achieving a certain outcome is the essence of the game. If you are going to play for money, then try and remember these odds.
For a description of the kind of bets you can make playing Craps, see instructions from a real casino or dice-play's Craps guide. If you want to understand more about how odds work, see dice odds.
You will be at a slight disadvantage with the Pass Line bet since the odds of the dice winning are only 970 times out of 1980. The edge against the dice passing works out as 1.414%.
The following table illustrates the bets found on Vegas/Nevada, Atlantic City, etc., Bank Craps tables. Bets in red can be made in other ways at better odds.
| Bet | True Odds | Pay-off | House Edge % |
| Pass Line/Come Bet | 251 to 244 | 1 to 1 | 1.414 |
| Don't Pass/Don't Come Bet | 976 to 949 | 1 to 1 | 1.402 |
Pass Line Odds/Come Bet Odds/Buy Bets (5% commission) | |||
| Numbers 4 or 10 | 2 to 1 | 2 to 1 | 4.76 |
| Numbers 5 or 9 | 3 to 2 | 3 to 2 | 4.76 |
| Numbers 6 or 8 | 6 to 5 | 6 to 5 | 4.76 |
Don't Pass Odds/Don't Come Bet Odds/Lay Bets (5% commission) | |||
| Numbers 4 or 10 | 1 to 2 | 1 to 2 | 2.44 |
| Numbers 5 or 9 | 2 to 3 | 2 to 3 | 3.23 |
| Numbers 6 or 8 | 5 to 6 | 5 to 6 | 4.0 |
Field Bets | |||
| 3, 4, 9, 10, 11 | 5 to 4 | 1 to 1 | 2.78 |
| 2, 12 | 2 to 1 | ||
Place Bets | |||
| Numbers 4 or 10 | 2 to 1 | 9 to 5 | 6.7 |
| Numbers 5 or 9 | 3 to 2 | 7 to 5 | 4.0 |
| Numbers 6 or 8 | 6 to 5 | 7 to 6 | 1.52 |
Hardways | |||
| 6 or 8 | 10 to 1 | 9 to 1 | 9.09 |
| 4 or 10 | 8 to 1 | 7 to 1 | 11.1 |
One Roll Bets | |||
| Any 7 | 5 to 1 | 4 to 1 | 16.9 |
| Any craps | 8 to 1 | 7 to 1 | 11.1 |
| 2 craps or 12 craps | 35 to 1 | 30 to 1 | 13.9 |
| 3 craps or 11 | 17 to 1 | 15 to 1 | 11.1 |
| Horn Bet (3 or 11) | 3.75 to 1 | ||
| Horn Bet (2 or 12) | 7.5 to 1 | ||
| Big 6 or 8 | 6 to 5 | 1 to 1 | 9.09 |
British casinosare tightly regulated and pay better odds on some bets. The following table illustrates the differing bets found in British casinos.
| Bet | True Odds | Pay-off | House Edge % |
| Hardways | |||
| 4 or 10 | 8 to 1 | 15 to 2 | 5.56 |
| 6 or 8 | 10 to 1 | 19 to 2 | 4.55 |
| Place Bet: 4 or 10 | 2 to 1 | 19 to 10 | 3.33 |
| 2 craps or 12 craps | 35 to 1 | 33 to 1 | |
| There is no Big 6 or 8 | - | - | ------ |
| - | - | ------ | |
Bar 1-2 Some greedy casinos (on cruise ships perhaps) bar 1-2 and not 1-1 or 6-6. This gives them a greater edge on Don't Pass/Don't Come bets.
| Bet | True Odds | Pay-off | House Edge % |
| Don't Pass/Don't Come | 976 to 840 | 1 to1 | 4.40 |
There are 36 possible outcomes of two dice. The following tables show the true odds for the specified outcome of the dice.
(A) This column gives the number of possible ways of making the dice total.
(B) This column gives the odds against making the dice total in a single roll.
(C) This column gives the odds against rolling the dice total before a 7.
(D) These columns give the odds against making the higher dice total before the lower dice total. e.g. 12 before 6 = 5 - 1. For making the lower number before the higher, reverse the odds. e.g. 6 before 12 = 1 - 5.
| Dice | A | B | C | D> | > | |||||||||
| 12 | 1 | 35 - 1 | 6-1 | 12 | ||||||||||
| 11 | 2 | 17 - 1 | 3-1 | 2-1 | 11 | |||||||||
| 10 | 3 | 11 - 1 | 2-1 | 3-1 | 3-2 | 10 | ||||||||
| 9 | 4 | 8 - 1 | 3-2 | 4-1 | 2-1 | 4-3 | 9 | |||||||
| 8 | 5 | 6 - 1 | 6-5 | 5-1 | 5-2 | 5-3 | 5-4 | 8 | ||||||
| 7 | 6 | 5 - 1 | - | 6-1 | 3-1 | 2-1 | 3-2 | 6-5 | 7 | |||||
| 6 | 5 | 6 - 1 | 6-5 | 5-1 | 5-2 | 5-3 | 5-4 | 1-1 | 5-6 | 6 | ||||
| 5 | 4 | 8 - 1 | 3-2 | 4-1 | 2-1 | 4-3 | 1-1 | 4-5 | 2-3 | 4-5 | 5 | |||
| 4 | 3 | 11 -1 | 2 -1 | 3-1 | 3-2 | 1-1 | 3-4 | 3-5 | 1-2 | 3-5 | 3-4 | 4 | ||
| 3 | 2 | 17 - 1 | 3-1 | 2-1 | 1-1 | 2-3 | 1-2 | 2-5 | 1-3 | 2-5 | 1-2 | 2-3 | 3 | |
| 2 | 1 | 35 - 1 | 6-1 | 1-1 | 1-2 | 1-3 | 1-4 | 1-5 | 1-6 | 1-5 | 1-4 | 1-3 | 1-2 | 2 |
Craps Numbers Odds
Hardway Odds of making a number as a double, before a 7 or as another combination.
| Hardway | Odds |
| 4 (2 + 2) | 8 - 1 |
| 6 (3 + 3) | 10 - 1 |
| 8 (4 + 4) | 10 - 1 |
| 10 (5 + 5) | 8 - 1 |
Odds against rolling a specified double are 35 - 1
Odds against rolling a specified combination of two differing numbers are 17 - 1
Odds against rolling craps are 8 - 1
Craps Numbers Odds Calculator
Crapless Craps You may have run across it at the Stratosphere in Vegas.Or was on some backwater boat in Mississippi?Or maybe it was at that Indian casino you visited on vacation.It’s called Crapless Craps.Many players like this game, yet after thirty years on the market, Crapless Craps is still difficult to find.Why?Primarily because it is a proprietary game, which means casinos must pay a licensing fee to use the layout.But there’s also a certain amount of player - and casino - reluctance to accept the game.Part of this comes out of confusion over the payout schedules - still another set of numbers for dealers and players to learn.Then there’s the vig – substantially higher than at the traditional game.Nevertheless, Crapless Craps can be a profitable game for the skilled dice setter who plays the “best bets”, then arranges his dice accordingly. The basic Crapless Craps game is quite similar to traditional banker’s craps, however it does have a few unique variations.First off, there’s the addition of four new point numbers.The 2, 3, 11, and 12 are point numbers in this game.Since it is “crapless,” you cannot lose on the come out roll.But you don’t automatically win on the eleven either, so the only way to win on the come out is by throwing the seven.Traditionally, the best set for throwing the seven is the hard 10 set with the 3/4 on the side.But we’ll get into this more later. At first glance the Crapless idea looks good.You’re giving up one natural, the 11,to avoid three losers, the 2, 3, or 12.Remember, though, that the probability of hitting a point of 2 or 12 is only 1/7, and the probability of hitting a point of 3 or 11 is only 1/4.In fact, giving up that sure winner on the eleven for a shot at winning on the 2, 3, and 12 boosts the house edge on the pass line to a whopping 5.382%.Placing single odds will reduce the vig to 2.936%.Double odds reduces it further to 2.081%.But it is not until you get to 5X odds that the vig gets halfway respectable – down to 1.042%.However, most of these games offer nothing better than double odds.Therefore, the pass line bet should be avoided unless you are shooting the dice. Let’s take a look at the true odds aspect of these “new” point numbers at Crapless Craps.The true odds of any point rolling are based on the number of ways that point can be rolled in relationship to the number of ways the seven can be rolled.Imaging you have $5 on the line and the shooter establishes the twelve as his point.You place full double odds behind the line bet and have a total of $15 in action.What would be the correct pay off if the shooter made the point?There is one combination of the dice that adds up to twelve.The six-six.But there are six combinations that add up to seven.They are one-six, two-five, three-four, four-three, five-two, and six-one.Therefore, the correct true odds on the twelve are six to one.In our example, if the shooter made his point we would be paid $5 for our line bet, and $60 for our $10 free odds bet, for a total payoff of $65. TRUE ODDS PAY-OFF FOR CRAPLESS CRAPS
As you can see from the above chart, if the three or eleven is established as the point, the correct true odds payoff is three to one.Using the same example as above, a five dollar line bet with double odds would pay a total of $35, five for the line bet and thirty for the free odds bet.The rest of the numbers pay the same as in a traditional game.Sounds good, right?But remember, the elimination of the eleven as a natural increases the vig in this game.A pass line or come bet with double odds carries a toll of2.081% compared to 0.60% in the traditional game.Again, the line bet should be avoided until it’s your time to shoot the dice.Still, you should know the correct pay-off for those times when you are shooting the dice.This will also come into play with your buy bets - which we will get into later. Now let’s take a look at place betting for Crapless Craps.Obviously, the traditional 4, 5, 6, 8, 9, and 10 bets are played – and paid exactly the same as in a standard game.The vig on these bets is no different than what you are used to.The major difference in this game comes with the placing of the “extreme outside” numbers, the 2, 3, 11, and 12.The pay off odds for place bets on these numbers is as follows: EXTREME OUTSIDE PLACE BET ODDS As with the five and nine – you must bet an even amount of money to get a correct pay off on the extreme outside numbers.On a five dollar table the minimum correct bet on the two or twelve would be six dollars.For a correct pay off on the three and eleven you would place eight dollars.Placing an incorrect amount will result in a reduced payoff, which increases the already considerable vig.The11:2 payoff on the 2 and 12 yields a house edge of7.143%.The 3 and 11 run a close second with an edge of6.250%.That is why most veteran players “buy” the extreme outside just as they would the four and ten. A Buy bet is similar to a Place bet except that you pay a 5% commission up-front in exchange for receiving a true payoff if it wins. The commission is based on the amount wagered. For example, if you wanted to make a $20 Buy bet on the number 11, you'd put down $21 in the Come area and tell the dealer 'Buy the 11'. He or she will move $20 to the number 11 point box and place a BUY button on top it. The extra $1 (5% of $20) is the vig for the house. The result is that you'll win $60 (3:1) instead of $55 (11:4) for a place bet in the same amount.If your bet wins and you want to keep it up, you'll have to pay the dealer another $1 commission. The vig is returned if you remove the bet before it wins or loses. Let’s review the best bets in Crapless Craps.Number one on the list is placing the six and eight - with a vig of 1.51%.Next on the list is the pass line with double odds - which carries a vig of 2.08%.Last of all is pushing the house for a better buy on the extreme outside numbers - which can get the vig as low as 2.56%.Now let’s move on to the basic Crapless dice setting and betting strategy. A strategy for players with less bankroll to work with might be to place the extreme outside numbers for $6 and $8 each, then buy them out of the payoff on the first hit.However, the vig on this bet is substantially higher than on the buy bet.Whenever possible, it is best to pay the additional $12 plus the commission for a correct payoff.Remember, too, that money management is the cornerstone of any good betting strategy.With that in mind, plan to incorporate at least one regression move in your play, with an eye toward locking up a small win or minimizing potential losses.But any good strategy should focus on signature numbers for the dice arrangement to be used. Since the game is “crapless,” on the come-out roll you want your best shot at hitting a seven – or establishing a point of 2, 3, 6, 8, 11 or 12.The recommended arrangement for these numbers is the hard-ten set – the 5-5 up, the 6-6 and 1-1 facing up and down table, the 3-4 on the sides.When rolled on axis, four out of sixteen possible combinations of the dice add up to seven, four combinations yield the six or eight, while six out of sixteen combinations add up to an extreme outside number.That’s one way to make the two or twelve, and two ways to make the three or eleven.If you score a seven on the come-out roll – great.If you get up on any of our favored points – that’s great, too.You’ll want to play maximum free odds behind your line bet in order to reduce the vig and take advantage of the huge potential payoffs on these numbers.But once the point is established you should change your set for the balance of your roll. Assuming you are successful in establishing one of your preferred points, the correct dice set is one you are all familiar with by now - the crossed-sixes.In this arrangement, one die has the 3-4 on the sides, and the other has the 5-2 on the sides.Rolled on axis, this set reduces the number of combinations that add up to seven from four to two.You have one way each to make the two, three, eleven and twelve, plus two ways each to make the six and eight.That’s a total of eight ways to win versus two ways to lose on the seven. So next time you’re at Sam’s Town in Tunica, The Isle of Capri in Kansas City, or yes, even the Stratosphere in Vegas – step up to the old Crapless game, wait for the dice, put five on the line and give it a whirl.With a little luck and a lot of skill – it might be the most fun you’ve ever had shooting dice. Copyright 2001 by Stephen Haltom - all rights reserved. |