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. Explains the probability of winning the pass line bet in craps and how that probability affects the odds and house edge.
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Craps is a unique casino game in that it offers over 100 different bets. If you've ever studied the layout of a craps table, then you probably noticed many different areas in which to place your chips. You can make bets on what number you predict will be the next thrown, how that number will be created as a combination of the dice, what number or numbers won't come up next, and so on. With such a variety of bets available and the fact that a pair of dice may yield 36 different numerical combinations, it is easy to see how the odds for the casino game of craps can vary quite a bit. Some bets offer favorable odds - even better than straight blackjack - while others are not so good.
Article Highlights:
Dice Totals | Payout Odds | Bets To Avoid
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Why do Nevada state casinos take in about 16 dollars for every 100 dollars wagered when the house edge is only around 1%? The truth is that most craps players play on gut feeling. In a game where each roll of the dice is independent from all previous rolls, it truly is sort of a guessing game. But, guessing will only get you so far. You need to know what the payouts are for different bets, and the odds of those bets to occur. To be a skilled player is knowing which bets carry the best odds, and which to avoid altogether.
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Dice Totals
Dice Total | Combinations | Ways Possible | Odds |
1:1 | 1 | |
3 | 1:2, 2:1 | 2 in 36 |
1:3, 2:2, 3:1 | 3 | |
5 | 1:4, 2:3, 3:2, 4:1 | 4 in 36 |
1:5, 2:4, 3:3, 4:2, 5:1 | 5 | |
7 | 1:6, 2:5, 3:4, 4:3, 5:2, 6:1 | 6 in 36 |
2:6, 3:5, 4:4, 5:3, 6:2 | 5 | |
9 | 3:6, 4:5, 5:4, 6:3 | 4 in 36 |
4:6, 5:5, 6:4 | 3 | |
11 | 5:6, 6:5 | 2 in 36 |
6:6 | 1 |
The chart above shows that seven (7) is the most likely outcome with a 6 in 36 probability, while snake eyes (a pair of ones) and twelve (12) are the least likely with 1 in 36 probabilities. The house advantage is built into each number bet by the payout odds.
Payout Odds
The chart to the right shows some of the common bets in craps, what each bet's payout is for winning, and the edge the house has on each particular wager. The best bets on the table are the pass line point bets (with odds). These bets can be placed in addition to your come or pass line bets, and offer true odds for payouts, meaning the house has no advantage over the player. Single odds means you may make an additional wager equal to your original bet. Double odds means up to two times your bet and so on up to 100 times odds, offered, possibly, at only the famous Binion's Horseshoe Casino in Las Vegas. Big bad wolf game.
Other bets that yield relatively good odds for craps players include the Pass Line and Don't Pass Line bets, where the house has only a 1.4% edge and less if you're playing with single or double odds. The Place Bet of 6 or 8 is also worthy of your chips because it only carries a 1.52% advantage for the casino. The payout on this bet is only 7 to 6, so you won't win a lot very quickly. It's recommended to stick with the Pass Line and Come bets with odds.
Bets To Avoid
The payout odds chart also shows that many craps bets hold a steep edge for the house, and should not be played unless one's goal is to lose money. The most likely outcome of the dice is 7, so you might logically deduce that this is a safe bet to make, right? Well, it's actually the worst on the table, carrying a 16.67% house edge. Why is this? Consider the number of ways to make a seven: 1+6, 2+5, 3+4, 4+3, 5+2, and 6+1. That makes six ways that the dice can combine to total seven, giving you a 6 out of 36 (or reduced to 1 in 6) probability of a 7 on the next roll. However, the casino knows this, so the payout odds have been shifted to 5 to 1, thus creating the 16.67% house advantage.
Other bets to avoid include any craps (2, 3, or 12), any 2 or 12, and any 3 or 11 which, at 30 to 1 payout odds might seem like it would be okay, but it isn't. Even those high payout odds fail to compensate for the actual likelihood of its occurrence. Another bet that some casinos have actually removed from tables, due to its poor odds for the player, is the Big 6 and Big 8 bets. On the table, the area for this bet is large, and can be tempting for the inexperienced player to toss a couple chips into during the heat of the moment. Beware of the Big 6 and Big 8! They are identical to Place Bets of 6 and 8, meaning you're betting that a 6 or 8 will come up before a 7. But unlike Place Bets, they only pay out at 1 to 1. So, instead of the house having a mere 1.52% edge, it jumps to over 9%. Most Atlantic City casinos have done craps players a small favor in removing the Big 6/8 betting areas from table layouts. Next time you play craps, be sure to stick with the bets that have the best odds.
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Casino Craps Odds
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.
Odds On Craps Numbers Game
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.
Odds On Craps Numbers Cheat
(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 |
Hardway Odds of making a number as a double, before a 7 or as another combination.
Bets To Avoid
The payout odds chart also shows that many craps bets hold a steep edge for the house, and should not be played unless one's goal is to lose money. The most likely outcome of the dice is 7, so you might logically deduce that this is a safe bet to make, right? Well, it's actually the worst on the table, carrying a 16.67% house edge. Why is this? Consider the number of ways to make a seven: 1+6, 2+5, 3+4, 4+3, 5+2, and 6+1. That makes six ways that the dice can combine to total seven, giving you a 6 out of 36 (or reduced to 1 in 6) probability of a 7 on the next roll. However, the casino knows this, so the payout odds have been shifted to 5 to 1, thus creating the 16.67% house advantage.
Other bets to avoid include any craps (2, 3, or 12), any 2 or 12, and any 3 or 11 which, at 30 to 1 payout odds might seem like it would be okay, but it isn't. Even those high payout odds fail to compensate for the actual likelihood of its occurrence. Another bet that some casinos have actually removed from tables, due to its poor odds for the player, is the Big 6 and Big 8 bets. On the table, the area for this bet is large, and can be tempting for the inexperienced player to toss a couple chips into during the heat of the moment. Beware of the Big 6 and Big 8! They are identical to Place Bets of 6 and 8, meaning you're betting that a 6 or 8 will come up before a 7. But unlike Place Bets, they only pay out at 1 to 1. So, instead of the house having a mere 1.52% edge, it jumps to over 9%. Most Atlantic City casinos have done craps players a small favor in removing the Big 6/8 betting areas from table layouts. Next time you play craps, be sure to stick with the bets that have the best odds.
Game Odds Articles:
Main Page | Baccarat | Blackjack | Craps | Keno | Roulette | Slot Machines | Video Poker
Play craps at one of the internet's leading casino sites.
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Casino Craps Odds
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.
Odds On Craps Numbers Game
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.
Odds On Craps Numbers Cheat
(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 |
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