|
"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. Las Vegas crap survey: I'm proud to feature a comprehensive and current listing of how much each Las Vegas casino allows players to bet on the odds.
| |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| 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.
To make an odds bet, after a don't pass line bet, you have to give the bet to a dealer and tell him you want to lay odds on whatever the point is. Never hand the dealer a bet, but instead put it in front of him and say something like "layings odds on the 4." The dealer will put it in the right place.
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.
A place bet on 4 or 10 pays 9-5 with a house edge of 6.67%.
A place bet on 5 or 9 pays 7-5 with a house edge of 4.00%.
A place bet on 6 or 8 pays 7-6 with a house edge of 1.52%.
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 that the original bet be returned, of course. In fact, you may take back an active place bet at any time or you may "turn them off" temporarily.
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.
A few casinos only charge the commission on a buy bet if it wins. If this is the case the house edge is lowered to 1.67% on the 4 and 10, 2.00% on the 5 and 9, and 2.27% on the 6 and 8.
The following table compares the house edge of place and buy bets.
| House Edge on Place and Buy Bets | |||
| Point | Place | Buy — Commission Always Paid | Buy — Commission Paid on Wins Only |
| 6,8 | 1.52% | 4.76% | 2.27% |
| 5,9 | 4.00% | 4.76% | 2.00% |
| 4,10 | 6.67% | 4.76% | 1.67% |
What this table shows is that the player who wants to bet on the points, should buy the 4 and 10, and place the other numbers. However, if commission is only charged on wins, then he should also buy the 5 and 9. If the exact same bet has two different odds, always choose the one that pays more.
Note: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).
Big 6 and 8: These are exactly like the place bets on 6 and 8, respectively, except pay worse odds. While the place bets on these numbers pay 7 to 6, the big 6 and 8 bets only pay even money, for a house edge of 9.09%. In Atlantic City these bets are illegal. In Las Vegas, that area of the felt is sometimes used for other sucker bets instead.
Hard ways: There are four different hard way bets. For example, a hard 4 bet is betting that a pair of two's will be rolled before a 7 or before any other way to roll a total of 4. This is called "the hard way" because it is harder to roll two twos than a one and a three. Likewise, you can bet on a hard 6,8, or 10, each of which is a bet that the hard way of rolling the given number will occur before a 7 or any "easy" way.
The casino pays 7-1 on a hard 4 or 10 with a house
edge of 11.11%.
The casino pays 9-1 on a hard 6 or 8 with a house edge of
9.09%.
Lay bets The lay bet is the opposite of the buy bet . The lay bets may be placed on the 4, 5, 6, 8, 9, or 10. The bet itself is that a 7 will be rolled before the number you choose. Because the 7 is the most likely number to be rolled you will wager more than you can win. The player must pay a 5% commission on the possible winnings and the fair odds are paid on the bet itself. Fair odds are 1 to 2 on the 4 and 10, 2 to 3 on the 5 and 9, and 5 to 6 on the 6 and 8. Another way to look at it is that lay bet pays 19-41 on the 4 and 10, 19-31 on the 5 and 9, and 19-25 on the 6 and 8. Bets on the 4 and 10 should be in increments of $40, bets on the 5 and 9 should be in crements of $30, and bets on the 6 and 8 in crements of $24, so that the 5% commission will be divisible by $1. If the commission is not divisible by $1 it will be rounded up, thus increasing the dealer's edge. For example, if you want to bet on the 10, the least bet should be $40 (not including the $1 commission) and if a 7 is rolled before a 10 you will win $20. The house edge on the 4 and 10 is 2.44%, on the 5 and 9 it is 3.23%, and on the 6 and 8 it is 4.00%.
Note: 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.
It should be noted that on a per roll basis, the house edge on place bets is much lower. In other words, if the player makes a one roll only place bet, taking it down if it hasn't resolved then the house edge on the 4 and 10 is 1.67%, on the 5 and 9 is 1.11%, and on the 6 and 8 is 0.46%. However, the house edge per bet resolved are the larger numbers above.
Often after a point is made a player will make a place bet on every number except the point. This is called an "across the board" bet. If the point is 4 or 10 the player will bet in increments of $27, putting $5 on the 4 or 10 (whichever isn't the point), $5 on the 5 and 9, and $6 on the 6 and 8. The increment is also $27 on a point of 5 or 9, and $26 on a point of 6 or 8. Assuming the player leaves the bets up until resolved, the house edge on a point of 4 or 10 is 3.39%, on 5 or 9 is 3.88%, and 6 or 8 is 4.45%.
The table below is a summary of the various place number bets for quick comparison.
| Place, Buy, Lay Bets | |||
| Bet | Description | Pays | House Edge |
| Big 6 |
6 before 7 |
1-1 |
9.09% |
|
Big 8 |
8 before 7 |
1-1 |
9.09% |
|
Buy 4 - Commission always paid |
4 before 7 |
39-21 |
4.76% |
|
Buy 5 - Commission always paid |
5 before 7 |
29-21 |
4.76% |
|
Buy 6 - Commission always paid |
6 before 7 |
23-21 |
4.76% |
|
Buy 8 - Commission always paid |
8 before 7 |
23-21 |
4.76% |
|
Buy 9 - Commission always paid |
9 before 7 |
29-21 |
4.76% |
| Buy 10 - Commission always paid | 10 before 7 | 39-21 | 4.76% |
|
Buy 4 - Commission paid on win |
4 before 7 | 39-20 | 1.67% |
|
Buy 5 - Commission paid on win |
5 before 7 |
29-20 |
2.00% |
|
Buy 6 - Commission paid on win |
6 before 7 |
23-20 |
2.27% |
|
Buy 8 - Commission paid on win |
8 before 7 |
23-20 |
2.27% |
|
Buy 9 - Commission paid on win |
9 before 7 |
29-20 |
2.00% |
| Buy 10 - Commission paid on win | 10 before 7 | 39-20 | 1.67% |
|
Hard 4 |
Hard 4 before 7 or easy 4 |
7-1 |
11.11% |
|
Hard 6 |
Hard 6 before 7 or easy 6 |
9-1 |
9.09% |
|
Hard 8 |
Hard 8 before 7 or easy 8 |
9-1 |
9.09% |
|
Hard 10 |
Hard 10 before 7 or easy 10 |
7-1 |
11.11% |
|
Lay (4) |
7 before 4 |
19-41 |
2.44% |
|
Lay (5) |
7 before 5 |
19-31 |
3.23% |
|
Lay (6) |
7 before 6 |
19-25 |
4.00% |
|
Lay (8) |
7 before 8 |
19-25 |
4.00% |
|
Lay (9) |
7 before 9 |
19-31 |
3.23% |
|
Lay (10) |
7 before 10 |
19-41 |
2.44% |
|
Place (4) |
4 before 7 |
9-5 |
6.67% |
|
Place (5) |
5 before 7 |
7-5 |
4.00% |
|
Place (6) |
6 before 7 |
7-6 |
1.52% |
|
Place (8) |
8 before 7 |
7-6 |
1.52% |
|
Place (9) |
9 before 7 |
7-5 |
4.00% |
|
Place (10) |
10 before 7 |
9-5 |
6.67% |
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 with 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.
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. Specific descriptions of the various bets are below.
Horn Bet: This is four bets in one. The bet must be made in increments of $4 with $1 each placed on the 2, 3, 11, and 12. Payoffs are the same as betting each number individually. The house edge is 12.5%. The player may also bet in increments of $5 with a double portion on any one number. For example, a "Horn 12 high" bet would put $2 on the 12 and $1 each on the 2, 3, and 11. The Horn 2 and 12 high bets have a house edge of 12.78%, and the 3 and 11 high Horn bets have a house edge of 12.22%.
Although horn bigs are highly ill-advised, because of the high house edge, if one still wishes to bet the horn 3 high, there is a better way to do it. Rather than bet $5 on the horn 3 high, instead bet $4 on any craps and $1 on 11. The net win on the 2 and 12 will be $1 more, with all other outcomes equal.
The table below is a summary of the proposition bets for quick comparison.
| Proposition Bets | |||
| Bet | Description | Pays | House Edge |
|
2 |
2 on next roll |
30-1 |
13.89% |
|
3 |
3 on next roll |
15-1 |
11.11% |
|
7 |
7 on next roll |
4-1 |
16.67% |
|
11 |
11 on next roll |
15-1 |
11.11% |
|
12 |
12 on next roll |
30-1 |
13.89% |
|
Any craps |
2, 3, or 12 on next roll |
7-1 |
11.11% |
|
Field (loose) |
2, 3, 4, 9, 10, 11, or 12 on next roll. |
see above |
2.78% |
|
Field (tight) |
2, 3, 4, 9, 10, 11, or 12 on next roll. |
see above |
5.56% |
|
Hop (two numbers) |
Any specific two numbers on next roll |
15-1 |
11.11% |
|
Hop (one number) |
Any specific pair of numbers on next roll |
30-1 |
13.89% |
|
Horn |
2, 3, 11, or 12 on next roll |
see above |
12.50% |
|
Horn - 2 or 12 high |
2, 3, 11, or 12 on next roll, double portion on 2 or 12 |
see above |
12.78% |
|
Horn - 3 or 11 high |
2, 3, 11, or 12 on next roll, double portion on 3 or 11 |
see above |
12.22% |
|
World |
2, 3, 7, 11, or 12 on next roll |
see above |
13.33% |
I have an unconfirmed report that the Rendezvous casino in Brighton, England has liberal rules on some bets in craps. Here is what I understand to be the different pays, compared to the U.S. rules, along with the house edge of both.
| U.S. Vs. Rendezvous Rules | |||||
| Bet | U.S. Pays |
Rendezvous Pays |
Prob. Win |
U.S. House Edge |
Rendezvous House Edge |
| Place 4, 10 | 9 to 5 | 19 to 10 | 33.33% | 6.67% | 3.33% |
| Any craps | 7 to 1 | 15 to 2 | 11.11% | 11.11% | 5.56% |
| Hard 4, 10 | 7 to 1 | 15 to 2 | 11.11% | 11.11% | 5.56% |
| Hard 6,8 | 9 to 1 | 19 to 2 | 9.09% | 9.09% | 4.55% |
| Hard hop | 30 to 1 | 33 to 1 | 2.78% | 13.89% | 5.56% |
| Easy hop | 15 to 1 | 16 to 1 | 5.56% | 11.11% | 5.56% |
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.
©1998-2008 Wizard Of Odds Consulting, Inc. All rights reserved. Terms & Conditions Contact Advertise About Us Links