Taking odds lowers the combined house edge because part of your total wager is paid at true odds with 0% house edge. The flat Pass Line or Come bet still has its normal edge. The blended percentage improves as you add odds, but the dollars at risk also rise, which can make sessions swing harder.
Quick Facts
- Combined house edge mixes the flat bet and the odds bet into one percentage.
- The flat Pass Line has about 1.41% house edge.
- The odds portion has 0% house edge.
- More odds lowers the combined percentage edge on total money wagered.
- More odds does not lower the amount that can be lost on one seven-out.
- Combined edge is often quoted per total amount bet, not just the flat bet.
- The same idea applies to Come bets with odds.
Plain Talk
Combined house edge answers one practical question: what is the casino edge on the full package of a flat line bet plus odds?
A $10 Pass Line bet alone is priced at about 1.41% house edge. Add $20 odds and the casino edge in dollars does not increase on the odds portion, because odds are fair. But your total wager is now $30. The original edge is spread across more total action, so the percentage looks lower.
That is good math. It is not magic.
This page is about blending flat bets with odds. For the standalone odds bet, read odds bet house edge. For the full game, start with the craps guide, craps odds, and craps house edge.
The Wizard of Odds craps basics gives common combined-edge references, the craps appendix supports the expected-return math, and Wolfram MathWorld on dice explains the probability base behind every two-dice result.
How It Works
The flat line bet creates the casino edge. The odds bet adds neutral money.
| Example Package | Flat Bet Edge | Odds Edge | Combined Result |
|---|---|---|---|
| $10 Pass Line only | 1.41% | None | About 1.41% |
| $10 Pass Line + $10 odds | 1.41% on flat | 0% on odds | Lower blended percentage |
| $10 Pass Line + $30 odds | 1.41% on flat | 0% on odds | Lower again |
| $10 Pass Line + $100 odds | 1.41% on flat | 0% on odds | Very low percentage, very high exposure |
The player advantage never appears. The percentage improves because the no-edge portion gets larger.
Common Combined Edge References
Published combined-edge numbers vary slightly depending on whether they are weighted across all possible points and whether they are quoted per flat bet or per total wager. A practical player-facing reference is:
| Odds Multiple | Approx. Combined Edge on Pass + Odds | Player Meaning |
|---|---|---|
| No odds | 1.41% | Flat Pass Line only |
| 1x odds | About 0.85% | Lower price, double exposure after point |
| 2x odds | About 0.61% | Better percentage, larger seven-out loss |
| 3x-4x-5x odds | About 0.37% | Common strong casino offer |
| 10x odds | About 0.18% | Excellent percentage, serious bankroll swings |
| 100x odds | Tiny percentage | Usually too large for casual bankrolls |
The percentage falls. The chip stack can still fall faster.
Craps Table Example
You play a $15 Pass Line bet. The point is 9. The casino allows 3x-4x-5x odds, so on a 9 you can take 4x odds: $60 behind the line.
Your total exposure is $75.
If 9 repeats before 7, the $15 flat bet wins $15 and the $60 odds bet pays $90 because odds on 5 or 9 pay 3 to 2. You profit $105.
If 7 rolls first, you lose $75.
The combined house edge percentage is much better than flat Pass Line alone. But the seven-out hurts five times more than the original $15 flat bet.
From the Casino Side:
A game manager looks at combined house edge differently from a player. The odds portion may not create theoretical win, but it creates table action, larger visible stacks, emotional engagement, and longer involvement with the hand.
The floor may rate only the flat portion or heavily discount odds because the odds bet has no casino edge. That is why some players overestimate comp value when they play large odds. Large odds can make the table look busy without producing much theoretical win for the casino.
Dealers care about correct odds multiples and clean payout cuts. The boxman cares that odds are not added after the dice outcome and that the player’s stack is positioned behind the correct flat bet.
Common Mistakes
- Saying odds “reduce the house edge” without saying what edge is being measured.
- Comparing percentages while ignoring dollars at risk.
- Believing maximum odds is always right for every bankroll.
- Thinking large odds create more comp value than they usually do.
- Forgetting that the flat bet still carries the original edge.
- Confusing combined house edge with probability of winning the next hand.
- Taking odds because the table is loud, not because the bankroll can support it.
Hard Truth
Adding odds makes the bet cheaper by percentage, not smaller by danger. You can have beautiful math and still lose a stack in three ugly decisions.
FAQ
What does combined house edge mean in craps?
It means the average casino edge on the flat line bet plus the odds bet together, usually measured against the total amount wagered.
Why does taking odds lower the combined edge?
Because the odds portion has 0% house edge, so it dilutes the edge from the flat line bet.
Does taking odds remove the Pass Line edge?
No. The flat Pass Line bet still has about 1.41% house edge.
Is maximum odds always the best strategy?
It is best by percentage, but not always best for bankroll survival. Bigger odds mean bigger swings.
Does the casino rate odds for comps?
Often the odds portion is rated differently or discounted because it has no theoretical win. Exact rating policy varies by casino.
Is 3x-4x-5x odds good?
Yes. It is a strong offer because it allows larger true-odds wagers behind different points.
Can combined edge become negative for the casino?
No. Odds are fair, not favorable to the player. The flat bet keeps the overall package on the casino side.
Deeper Insight
The combined-edge concept is useful, but it is also one of the most abused numbers in craps advice.
A player sees 0.37% and thinks, “This is almost free.” That is the wrong interpretation.
The edge percentage is low because the denominator is large. If you bet $10 flat and $50 odds, the edge from the line bet is being measured across $60 of total exposure. The casino’s average edge in dollars did not vanish. It is just spread across a larger wager.
That is why expected loss and variance must be read together.
Expected loss measures the long-run cost. Variance measures how violently the bankroll moves before the long run has any chance to show itself. Odds reduce price, but they do not soften variance. They usually increase it.
A disciplined player can use odds to reduce the price of playing. An emotional player can use odds to lose more money faster while bragging about low house edge.
Both are common on live craps tables.
Formula / Calculation
Combined House Edge = Total Expected Loss / Total Amount Wagered
Expected Loss = Flat Bet Amount × Flat Bet House Edge
Odds Bet Expected Loss = Odds Bet Amount × 0%Example with $10 Pass Line and $30 odds:
Flat bet expected loss ≈ $10 × 1.41% = $0.141
Odds expected loss = $30 × 0% = $0
Total expected loss ≈ $0.141
Total wager after point = $40
Combined edge on total exposure ≈ $0.141 / $40 = 0.3525%This simplified example shows the dilution idea. Full published combined-edge tables weight points, come-out behavior, and odds rules more precisely.
Formula Explanation in Plain English
The casino edge comes from the flat bet. The odds bet adds fair money. When you divide the same edge cost across more total money, the percentage becomes smaller. But the amount you can lose on the next seven-out becomes larger.
Related Reading
Read odds bet house edge before using large odds, then compare Pass Line house edge and Come bet house edge. Use the house edge calculator and expected loss calculator to test bet sizes. If you are increasing odds because a table feels hot, read craps variance and why betting systems fail.