The odds bet in craps is an additional wager placed after a Pass Line, Don’t Pass, Come, or Don’t Come bet has established a point. Its special feature is mathematical: the odds portion is paid at true odds, so that portion has 0% house edge.
That sounds almost too good for a casino wager, but there is an important limit to the claim. Odds do not erase the house edge on the original line or Come bet, and adding odds increases the number of dollars that can disappear when the wrong side of the point race wins.
So the clean description is:
The odds bet is fairly priced risk attached to a bet that is not fairly priced.
Why the payout is called “true odds”
Once a point is established, the relevant race is the point number versus 7. Other rolls do not resolve the odds wager.
Two dice have 36 equally likely ordered combinations. The point numbers and 7 have these combinations:
| Point | Ways to roll point | Ways to roll 7 | Pass/Come odds payout | Don’t-side fair payout |
|---|---|---|---|---|
| 4 | 3 | 6 | 2:1 | 1:2 |
| 5 | 4 | 6 | 3:2 | 2:3 |
| 6 | 5 | 6 | 6:5 | 5:6 |
| 8 | 5 | 6 | 6:5 | 5:6 |
| 9 | 4 | 6 | 3:2 | 2:3 |
| 10 | 3 | 6 | 2:1 | 1:2 |
On point 4, for example, 7 has 6 combinations while 4 has only 3. The Pass-side odds bet therefore wins one-third of resolved point-versus-7 races and loses two-thirds.
A fair payout must compensate for that imbalance:
P(4 before 7) = 3 / (3 + 6) = 1/3
P(7 before 4) = 6 / (3 + 6) = 2/3If $10 odds on 4 pays 2:1:
EV = (1/3 × $20) - (2/3 × $10)
= $6.67 - $6.67
= $0That zero expected value is what “0% house edge” means here. The payout exactly matches the conditional probability.
Taking odds behind Pass Line
The usual sequence is straightforward:
- Make a Pass Line wager on the come-out roll.
- A point of 4, 5, 6, 8, 9, or 10 is established.
- Add an odds wager behind the Pass Line bet, subject to the table’s maximum.
- If the point repeats before 7, both Pass Line and odds win.
- If 7 arrives first, both lose.
Suppose the flat bet is $10 and the point is 5. You take $20 in odds.
| Wager | Amount | Payout if 5 repeats before 7 |
|---|---|---|
| Pass Line | $10 | $10 profit |
| Odds on 5 | $20 | $30 profit |
| Total profit | $40 |
If 7 appears first, the $10 flat wager and $20 odds both lose: $30 total.
The odds did not add theoretical casino advantage, but they tripled the amount at risk on that point cycle.
Come odds use the same math but different table handling
A Come bet begins after the table point is already on. If it travels to a box number, the player can usually add odds to that individual Come point.
Mathematically, the payouts are the same as Pass odds:
- 4/10: 2:1;
- 5/9: 3:2;
- 6/8: 6:5.
Operationally, the wager is different. The dealer typically positions the odds with the traveled Come bet in a way that identifies the player and amount. Do not assume you should reach into the box-number area yourself.
There is also a procedural wrinkle on later come-out rolls. At many tables, odds attached to traveled Come bets are off by default on the come-out unless the player asks to have them working; house rules can differ. The flat Come bet on the number may still be active under the game’s normal rules. If you are unsure, ask the dealer before the dice are sent.
Laying odds behind Don’t Pass or Don’t Come
The Don’t side reverses the point race. After a point exists, the bettor wants 7 to arrive before the point.
Because 7 is more likely, the player must risk more to win less.
For a point of 4:
P(7 before 4) = 6 / 9 = 2/3
P(4 before 7) = 3 / 9 = 1/3Fair Don’t odds are therefore lay 2 to win 1. Risking $20 to win $10 is fair because the player wins twice as often as the player loses in the 4-versus-7 race.
For point 5 or 9, fair lay odds are 3:2: risk $15 to win $10, or another equivalent unit. For 6 or 8, the fair ratio is 6:5.
The awkward chip amounts are one reason wrong-side odds are more dealer-dependent in practice. The crew may specify acceptable units and maximums so payouts remain exact.
What 1x, 2x, 5x and 3-4-5x odds actually mean
Casinos cap the amount of odds that can be attached to the flat wager.
If a table offers 2x odds, a $10 Pass Line wager can generally support up to $20 in Pass odds.
If it offers 5x odds, the same flat wager can generally support up to $50.
A 3-4-5x table uses different right-side multiples by point:
| Point | Maximum right-side odds on a $10 flat bet | Profit on odds if point hits |
|---|---|---|
| 4 or 10 | $30 | $60 |
| 5 or 9 | $40 | $60 |
| 6 or 8 | $50 | $60 |
That structure is popular because the maximum odds win is $60 on every point. The amount risked changes so the potential odds profit stays level.
Do not assume the same wording is used identically everywhere, especially for Don’t-side maximums. The posted sign and house procedure control.
More odds lowers the percentage price of the combined action—but not its dollar swing
This point needs careful wording.
The Pass Line flat bet has its normal house edge. The odds portion has zero edge. Adding a zero-EV wager does not add expected casino profit from that extra portion.
Therefore, if you express the expected loss as a percentage of the larger combined amount wagered, the blended percentage becomes smaller.
But the expected casino win created by the original flat wager does not magically disappear, and the player now has more money exposed to the point race.
This is why two statements can both be true:
- “Taking more odds improves the mathematical pricing of my total action.”
- “Taking more odds can make my bankroll disappear much faster in a short losing sequence.”
House edge and volatility are different dimensions.
The craps house-edge guide focuses on pricing. The variance simulator is more useful for visualizing how rough a fairly priced wager can still look over a small sample.
A bankroll comparison
Suppose two players each have $200 and both make a $10 Pass Line bet.
After point 6 is established:
- Player A takes $10 odds.
- Player B takes $50 odds.
If 7 appears first:
- Player A loses $20, or 10% of the bankroll.
- Player B loses $60, or 30% of the bankroll.
Player B used the mathematically cleaner allocation because a larger share of the total action was at true odds. Yet Player B also exposed three times as many dollars to the same losing event.
That is why “always take maximum odds” is not a complete bankroll recommendation. The maximum allowed by the casino and the maximum appropriate for a player’s session budget are different questions.
Placement and timing are part of the wager
On a traditional table, Pass odds are commonly placed behind the Pass Line bet, closer to the player. Come odds and Don’t-side odds require more dealer involvement because the chips must be associated with a specific traveled wager and correct payout unit.
Late changes can also be refused. Once the dice are moving, the crew needs the layout to be stable so every wager has an unambiguous amount and owner before the result is known.
The Massachusetts Gaming Commission craps rules provide one regulated example of recognized odds wagers and payout procedures. Individual casinos may operate different approved odds limits and internal placement conventions.
If you are new to the table, the safest procedural approach is simple: state the amount clearly and let the dealer direct or position any wager that is not obviously self-service.
Why a casino offers a wager with no edge
There is no contradiction in a casino offering true odds.
The wager exists only because the player already has an eligible Pass, Don’t Pass, Come, or Don’t Come bet. Those flat wagers carry house advantage. Odds also increase total chips in action and make craps more attractive to players who understand the mathematics.
From the casino’s point of view, the odds bet can be commercially sensible even if its own EV is zero because it is part of a larger game relationship.
This is also why player-rating systems may treat odds differently from house-edge action. Comp systems are often concerned with theoretical loss rather than counting every dollar on the felt as equally valuable. Exact rating policies are property-specific.
Do odds make the total game positive EV?
No.
A zero-edge add-on cannot turn a negative-EV base wager into a positive-EV package unless some separate value—such as an unusually generous promotion—more than offsets the remaining casino edge and all relevant conditions.
Under ordinary play:
EV(base bet) < 0
EV(odds) = 0
EV(base + odds) < 0The zero-EV component reduces the percentage disadvantage when measured against total action, but the package still retains the negative expected value of the required base wager.
This is an important distinction from a bet that actually has player advantage.
The best way to use the odds number
The odds bet is worth understanding because it separates fair payout from low risk.
On point 4, the player taking odds loses twice as often as they win, but the win pays twice as much. On point 6, the win occurs 5 times for every 6 resolving sevens, and the payout is 6:5. In both cases the average mathematical value is zero.
That fairness does not control the order of results. Five sevens can arrive before five points. A short bankroll can be exhausted even when every odds wager was priced perfectly.
Use the craps odds chart when you need all point ratios in one place. Use the craps odds calculator when you want exact dollar payouts for a stake and point. If you are still learning the sequence that creates the base wager, start with Pass Line Bet Explained and the main craps guide.