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"Full double odds" means the player can take 2.5 times odds on a point of 6 or 8, and 2 times on all other points. "3-4-5 times odds" means the player can take 3X odds on the 4 and 10, 4X on the 5 and 9, and 5X on the 6 and 8. Assuming the player takes the maximum allowable odds the payoff on any odds bet will conveniently always be 6X the pass or come bet. If the maximum odds would result in an uneven win, the dealers will usually let you bet even more to get to an even payoff. It is worth noting that while taking the odds lowers the combined house edge, the expected loss remains the same. That is because you are applying a lower average house edge to a higher average bet. Readers often write to me, making this point, as an argument against betting the odds. However, if it is you goal to minimize expected loss as much as possible, then don't play at all! If you are going to gamble anyway, and your goal is to minimize the ratio of losses to amount bet, then you should bet as much as you can on the odds.
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| Don't Pass Return Table | ||||
| Event | Pays | Combinations | Probability | Return |
| Win | 1 | 949 | 0.479293 | 0.479293 |
| Push | 0 | 55 | 0.027778 | 0 |
| Lose | -1 | 976 | 0.492929 | -0.492929 |
| Total | 1980 | 1 | -0.013636 | |
This is the opposite of taking odds, in other words betting that a 7 will be rolled before the point. The odds bet should be put next to the don't pass bet.
If the point is a 4 or 10 laying the odds pays 1 to 2.
If the point is a 5 or 9 laying the odds pays 2 to 3.
if the point is a 6 or 8 laying the odds pays 5 to 6.
The amount you may win by laying odds is the product of your don't pass bet and the multiple of odds allowed per the table rules. If the table allows five times odds then you can win five times your don't pass bet by laying odds. Note that the multiple applies to how much you can win, not how much you can bet. For example, if you bet $2 on the don't pass and the table allows full double odds then you can bet $8 to win $4 on a point of 4 or 10, $6 to win $4 on a point of 5 or 9, and $6 to win $5 on a point of 6 or 8.
The following table shows the combined house edge on both the don't pass bet and laying the odds.
| Combined house edge on the don't pass and laying odds | |
| Odds | House Edge |
|
1X |
0.682% |
|
2X |
0.455% |
|
Full double odds |
0.431% |
|
3X |
0.341% |
|
3-4-5X |
0.273% |
|
5X |
0.227% |
|
10X |
0.124% |
|
20X |
0.065% |
|
100X |
0.014% |
Have you ever become bored waiting for a point to be thrown, and didn't want to waste your money on the sucker bets, to add excitement? If so, then consider the come bet. It is like the pass line bet, but may be made at any time. Like the pass line bet, you may also put money on the odds if a point is thrown on the first roll after the come bet is placed and has a house edge of 1.41%.
There is a nuance to the come bet the player should know about. If a point is thrown and there are still active come bets on the table, waiting for a different point, then special rules apply for the following come out roll. The come out roll will still apply to active come bets, but it will not apply to their respective odds bets. If a 7 is rolled on a come out roll, odds bets on top of come bets will be returned. The player may ask to keep the odds turned on, but few do.
Turning the come odds off on a come out roll increases the combined house edge from 0.326% to 0.377% in a 5-times odds game, not counting returned odds bets as bets made. So if you want to maximize your return on resolved bets then keep those come odds turned on.
A good strategy for the player who likes constant action is to have a new bet on either the pass line or come on every throw, and to always take the maximum allowable odds.
The don't come bet is like the don't pass bet, but is made on a non-come out roll.
In craps the 4,5,6,8,9, and 10 are known as the "place numbers." The player may bet on any of these numbers, and if it is rolled before a seven, the bet wins. Place bets are just like odds bets, except no pass line bet is required, and they pay worse odds.
| Place Bets | |||||
| Number | Pays | Ways to Win | Ways to Lose | Prob. Win | House Edge |
| 6,8 | 7 to 6 | 5 | 6 | 45.45% | 1.52% |
| 5,9 | 7 to 5 | 4 | 6 | 40.00% | 4.00% |
| 4,10 | 9 to 5 | 3 | 6 | 33.33% | 6.67% |
When a place bets wins, the dealer will return your winnings but leave the original bet on the table, essentially establishing a new place bet. You may request a place bet be "turned off" temporarily, or taken down, at any time.
Place bets to lose are the opposite of place bets. They win on a 7, and lose on the number. These bets can be found at the Star City casino in Sydney, Australia, and some Internet casinos. (source)
| Place to Lose Bets | |||||
| Number | Pays | Ways to Win | Ways to Lose | Prob. Win | House Edge |
| 6, 8 | 4 to 5 | 6 | 5 | 54.55% | 1.82% |
| 5, 9 | 5 to 8 | 6 | 4 | 60.00% | 2.50% |
| 4, 10 | 5 to 11 | 6 | 3 | 66.67% | 3.03% |
Buy bets are essentially the same as the place bet, only with a different payoff. The player may "buy" any of the points (4, 5, 6, 8, 9, and 10), which means to bet that the number will be rolled before a 7. When making a buy bet you must pay a 5% commission and your bet will pay fair odds if it wins. Fair odds are 2-1 on the 4 and 10, 3-2 on the 5 and 9, and 6-5 on the 6 and 8.
A buy bet should be an increment of $20 so that the 5% commission can be an even dollar amount. If the bet is not divisible by $20 the commission will usually be rounded up to the nearest dollar.
The following table shows the house edge on each Buy bet. The payoff has been converted to a “for one” basis.
| Buy Bets — Commission Paid Up Front | |||||
| Number | Pays | Ways to Win | Ways to Lose | Prob. Win | House Edge |
| 6,8 | 23 to 21 | 5 | 6 | 45.45% | 4.76% |
| 5,9 | 29 to 21 | 4 | 6 | 40.00% | 4.76% |
| 4,10 | 39 to 21 | 3 | 6 | 33.33% | 4.76% |
Some casinos only charge the commission on buy bets on 4 and 10 if it wins. If this is the case the house edge is lowered to 1.67% on the 4 and 10. I have heard of some casinos only charging on a win on the 5 and 9 too, but have never seen that with my own eyes. The following table shows the house edge if the commission is only paid if the player wins.
| Buy Bets — Commission Paid on Wins Only | |||||
| Number | Pays | Ways to Win | Ways to Lose | Prob. Win | House Edge |
| 6,8 | 23 to 20 | 5 | 6 | 45.45% | 2.27% |
| 5,9 | 29 to 20 | 4 | 6 | 40% | 2% |
| 4,10 | 39 to 20 | 3 | 6 | 33.33% | 1.67% |
Comparing buy bets to place bets, on points of 6 and 8, the place bet always has the lower house edge. On points of 4 and 10, the buy bet always has the lower house edge. On points of 5 and 9, it depends on whether the commission is always paid, or only on wins. If the commission is paid up front, as is usually the case, then place bets are better, otherwise buy bets are.
Tip:If the commission is rounded down, the player can cut down the house edge by betting just under $40 for a commission of $1. A buy bet of $39 on the 4 or 10 has a house edge of 2.5%. A buy bet of $38 on the 5 or 9 has a house edge of 2.56%. A buy bet of $35 on the 6 or 8 has a house edge of 2.78% (which is still not as good as the place bet).
The Santa Ana Star casino in New Mexico allows buy bets on the 4 and 10 with no commission, resulting in zero house edge. For that, I salute them!
The Big 6 and 8 are exactly like the place bets on 6 and 8, respectively, except pay only even money. The house edge on the big 6 and 8 is 9.09%, which is much higher than the 1.52% on 6 and 8 place bets. In Atlantic City these bets are illegal. In Las Vegas, that area of the felt is sometimes used for other sucker bets instead.
The following table shows the house edge on hard way bets. Most casinos follow the stingier payoffs of 7 and 9 to 1. The liberal payoffs of 7.5 and 9.5 to one can be found in England and Australia.
| Hard Way Bets | |||||
| Number | Pays | Way to Win | Way to Lose | Prob. Win | House Edge |
| 6,8 | 9 to 1 | 1 | 10 | 9.09% | 9.09% |
| 6,8 | 9.5 to 1 | 1 | 10 | 9.09% | 4.55% |
| 4,10 | 7 to 1 | 1 | 8 | 11.11% | 11.11% |
| 4,10 | 7.5 to 1 | 1 | 8 | 11.11% | 5.56% |
A lay bet is a wager than a seven will be rolled before the number you are betting against (4, 5, 6, 8, 9, or 10). Because the 7 is the most likely number to be rolled you will wager more than you can win. The player must usually pay a 5% commission on the possible winnings, otherwise fair odds are paid on the bet itself. For example, to lay bet of $125 on a 6 would win $100 if a 7 were rolled before a 6. Fair odds would require only a $120 bet to win $100, but the player must add 5% as a commission to make the bet. The following table shows the house edge for each lay bet.
| Lay Bets — Commission Prepaid | |||||
| Number | Pays | Ways to Win | Ways to Lose | Prob. Win | House Edge |
| 6,8 | 19 to 25 | 6 | 5 | 54.55% | 4.00% |
| 5,9 | 19 to 31 | 6 | 4 | 60.00% | 3.23% |
| 4,10 | 19 to 41 | 6 | 3 | 66.67% | 2.44% |
If you should be at a casino that offers place bets to lose, those are preferable to lay bets on all numbers except the 4 and 10.
If you should be at a casino that offers place bets to lose, those are preferable to lay bets on all numbers except the 4 and 10.
Hint:If the commission is rounded down, the player can cut down the house edge by betting so that the winnings will be just under $40. A lay bet of $78 on the 4 or 10 has a house edge of 1.27%. A lay bet of $57 on the 5 or 9 has a house edge of 1.72%. A lay bet of $42 on the 6 or 8 has a house edge of 2.33%. All of these are better than the place bets to lose.
Internet casinos using Galewind software allow lay bets where the commission is paid only if the player wins, and based on the win amount. The following table shows the house edge under this rule.
| Lay Bets — Commission on Wins Only | |||||
| Number | Pays | Ways to Win | Ways to Lose | Prob. Win | House Edge |
| 6,8 | 19 to 24 | 6 | 5 | 54.55% | 2.27% |
| 5,9 | 19 to 30 | 6 | 4 | 60% | 2.00% |
| 4,10 | 19 to 40 | 6 | 3 | 66.67% | 1.67% |
A put bet is a combination of making a pass line or come bet after a point is established and betting on the odds. It is in general a bad idea to make a line bet after a point is established, however, by taking the odds the combined house edge can be lower than a corresponding place or buy bet. The following table displays the combined house edge according to the point and the multiple of odds taken.
| Put Bets | |||
| Odds Multiple | Point of 4,10 | Point of 5,9 | Point of 6,8 |
|
0 |
33.33% |
20.00% |
9.09% |
|
1 |
16.67% |
10.00% |
4.55% |
|
2 |
11.11% |
6.67% |
3.03% |
|
3 |
8.33% |
5.00% |
2.27% |
|
4 |
6.67% |
4.00% |
1.82% |
|
5 |
5.56% |
3.33% |
1.52% |
|
6 |
4.76% |
2.86% |
1.30% |
|
10 |
3.03% |
1.82% |
0.83% |
|
20 |
1.59% |
0.95% |
0.43% |
|
100 |
0.33% |
0.20% |
0.09% |
If the point is a 4 or 10, the house edge on the put bet with six times odds is the same as a corresponding buy bet. If the point is a 5 or 9, the house edge on the put bet with four times odds is the same as a corresponding place bet. If the point is a 6 or 8, the house edge on the put bet with five times odds is the same as a corresponding place bet. In other words, you have to back up the put bets with 4 to 6 times odds for the house edge to be equal to the best option between a corresponding place or buy bet.
It should be noted that put bets are not allowed in some casinos, for example Harrah's in Kansas City.
Proposition bets either win or lose on the next throw. In general these have the highest house edge of all the crap bets and players with any sense at all will avoid them completely. The following table shows the various prop bets available. Different wins are known to exist on the prop bets. In the U.S., usually the payoff odds are the lower ones. The casinos in the U.K. and Australia are known to have the more liberal rules.
| Proposition Bets | |||||
| Number | Pays | Ways to Win | Ways to Lose | Prob. Win | House Edge |
| 2, 12, and all "hard" hop bets | 33 to 1 | 1 | 35 | 2.78% | 5.56% |
| 2, 12, and all "hard" hop bets | 32 to 1 | 1 | 35 | 2.78% | 8.33% |
| 2, 12, and all "hard" hop bets | 31 to 1 | 1 | 35 | 2.78% | 11.11% |
| 2, 12, and all "hard" hop bets | 30 to 1 | 1 | 35 | 2.78% | 13.89% |
| 2, 12, and all "hard" hop bets | 29 to 1 | 1 | 35 | 2.78% | 16.67% |
| 3, 11, and all "easy" hop bets | 16 to 1 | 2 | 34 | 5.56% | 5.56% |
| 3, 11, and all "easy" hop bets | 15 to 1 | 2 | 34 | 5.56% | 11.11% |
| 3, 11, and all "easy" hop bets | 14 to 1 | 2 | 34 | 5.56% | 16.67% |
| Any craps (2, 3, or 12) | 7 to 1 | 4 | 32 | 11.11% | 11.11% |
| Any craps (2, 3, or 12) | 7.5 to 1 | 4 | 32 | 11.11% | 5.56% |
| Any seven | 4 to 1 | 6 | 30 | 16.67% | 16.67% |
There are various ways of making combinations of prop bets. One common one is the “horn” bet, which is divided equally between the 2, 3, 11, and 12. Sometimes a player will make “horn high” bet, which doubles the bet on one of those numbers. Another common bet is the “world” which is five equal bets on the 2, 3, 7, 11, and 12.
Tip: If you must bet on a 7, don’t make the any 7 bet, with a house edge of 16.67%. Instead, divide your bet by 3, and put 1/3 each on the 1-6, 2-5, and 3-4 hop bets. Even at the stingy payoff of 15 to 1, you will still lower the house edge to 11.11%.
The field is a one time bet that the next roll will be a 2, 3, 4, 9, 10, 11, or 12. All wins pay 1 to 1, except the 2 and 12 pay more. In Las Veags most casinos pay 2 to 1 on the 2, and 3 to 1 on the 12. In Reno, they switch them, paying 3 to 1 on the 2, and 2 to 1 on the 12. The following table shows the possible outcomes. The lower right cell shows a house edge of 2.78%.
| Field Bet — 2 or 12 pay 3-1 | ||||
| Number | Pays | Combinations | Probability | Return |
| 2 | 2 | 1 | 0.027778 | 0.055556 |
| 12 | 3 | 1 | 0.027778 | 0.083333 |
| 3, 4, 9, 10, 11 | 1 | 14 | 0.388889 | 0.388889 |
| 5, 6, 7, 8 | -1 | 20 | 0.555556 | -0.555556 |
| Total | 36 | 1 | -0.027778 | |
Some stingy casinos, namely the Harrah's corporate properties, and the Casino Royale, only pay 2 to 1 on both the 2 and 12. This doubles the house edge to 5.26%. The Santa Ana Star casino in New Mexico pays 3 to 1 on both the 2 and 12, for exactly zero house edge. Bravo!
The chart below shows the net gain or loss you can expect over 100 trials, or come out rolls. For purposes of creating the chart the player would bet $1 on the pass line and take full double odds.

Here are some actual numbers that show the probability of falling into various intervals.
| Session Win/Loss | |
| Interval | Probability |
|
loss of over $100 |
0.0422% |
|
loss of $76-$100 |
0.6499% |
|
loss of $51-$75 |
4.6414% |
|
loss of $26-$50 |
16.3560% |
|
loss of $1-$25 |
30.0583% |
|
break even |
0.6743% |
|
win of $1-$25 |
28.6368% |
|
win of $26-$50 |
14.4257% |
|
win of $51-$75 |
3.9097% |
|
win of $76-$100 |
0.5639% |
|
win of over $100 |
0.0418% |
The graph and table were created by simulating 1,000,000 sessions of 100 trials, or come out rolls, and tabulating the results of each session.
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