True odds are the mathematically fair payout based on dice combinations. Casino payouts are what the table actually pays. When the casino payout is lower than true odds, the difference creates house edge. The odds bet is special because it pays true odds, but most other craps bets do not.
Quick Facts
- True odds come from winning combinations versus losing combinations.
- Casino payouts are printed or enforced by the table rules.
- The payout gap is the source of house edge.
- Odds bets pay true odds behind pass, don’t pass, come, and don’t come.
- Place bets usually pay less than true odds.
- Proposition bets often have large payout gaps.
- A high payout can still be a bad value.
Plain Talk
Craps looks complicated because the table has many bets. The math underneath is simple: how often should the bet win, and how much does the casino pay when it wins?
True odds are the fair price. If a bet should pay 5:1 based on dice combinations but the casino pays 4:1, that missing unit is the casino edge.
The craps odds page explains the dice probabilities. The craps house edge page explains the casino advantage. This page puts them together. External references such as the Wizard of Odds craps basics, Wizard craps house-edge appendix, and Massachusetts craps rules show how probabilities and approved pay schedules connect.
How It Works
True odds compare losing outcomes with winning outcomes.
| Bet example | Winning side | Losing side | True odds | Common casino payout | Result |
|---|---|---|---|---|---|
| Odds on point 4 or 10 | 3 ways | 6 ways | 2:1 | 2:1 | Fair payout |
| Odds on point 5 or 9 | 4 ways | 6 ways | 3:2 | 3:2 | Fair payout |
| Odds on point 6 or 8 | 5 ways | 6 ways | 6:5 | 6:5 | Fair payout |
| Place 6 or 8 | 5 ways | 6 ways | 6:5 | 7:6 | Short pay |
| Any Seven | 6 ways | 30 ways | 5:1 | 4:1 | Short pay |
| Any Craps | 4 ways | 32 ways | 8:1 | 7:1 | Short pay |
The odds bet is rare because it pays true odds. That is why it has 0% house edge. But the odds bet only exists after a required line bet, and the original line bet still carries its own edge.
Craps Table Example
A point of 6 is established.
A player has:
- $15 pass line
- $30 odds behind it
- $18 place 6
Both the odds bet and the place 6 care about the 6 rolling before 7. The difference is payout.
The odds bet behind the line pays true odds of 6:5. A $30 odds bet wins $36.
The place 6 commonly pays 7:6. An $18 place 6 wins $21.
Both can win on the same number. They are not mathematically equal because the payout structure is different.
From the Casino Side:
The casino does not need to hide the edge. It is built into approved payouts.
The dealer pays according to the layout and house rules. The boxman watches correct pay, correct breakage, proper odds, and disputes. The floor cares that players understand enough to keep the game moving, not that every player can calculate true odds.
Short pays are part of the product. They are not dealer tricks. They are the commercial price of the wager.
Common Mistakes
- Thinking a bigger payout means a better bet.
- Confusing the odds bet with the general idea of craps odds.
- Treating place bets and odds bets as equal because they use the same point numbers.
- Forgetting that true odds are based on combinations, not feelings.
- Ignoring whether a payout returns the original stake or pays profit only.
- Assuming all casinos pay side bets the same way.
- Calling 0% house edge “low risk.”
Hard Truth
The casino edge is often just a quiet short pay. The bet does not need to look unfair to be profitable for the house.
FAQ
What are true odds in craps?
True odds are the fair payout based on the ratio of losing dice combinations to winning dice combinations.
What is a casino payout?
A casino payout is the amount the table actually pays when a bet wins. It may be lower than true odds.
Why does the odds bet have no house edge?
Because it pays true odds. The payout matches the real probability of the point being made before 7.
Are place bets paid at true odds?
No. Place bets usually pay less than true odds, which creates house edge.
Why is Any Seven bad if 7 is common?
Because the payout is too low. Any Seven commonly pays 4:1 when true odds are 5:1.
Can true odds remove all craps risk?
No. True odds remove house edge on that specific odds wager. They do not remove short-term variance or the edge on the required line bet.
Deeper Insight
True odds are one of the cleanest ways to understand casino games. The house edge is not magic. It is the difference between fair probability and actual payment.
Craps gives players one unusual fair bet: the odds bet. Casinos offer it because it is attached to a line bet and because it increases action and excitement. The casino still benefits from the base bet, other wagers, table speed, player errors, and total action.
This is also why “low house edge” can mislead players. A fair payout on one chip stack does not make the whole session fair.
Formula / Calculation
True Odds Payout = Losing Combinations / Winning Combinations
House Edge = -Player EV / Initial Stake
Expected Value = (Probability of Win × Net Win) - (Probability of Loss × Stake)
Example for Any Seven:
P(win) = 6 / 36
P(lose) = 30 / 36
True odds = 30 / 6 = 5:1
Casino payout = 4:1
EV on $1 = (6/36 × $4) - (30/36 × $1) = -$0.1667
House edge = 16.67%
Formula Explanation in Plain English
Any Seven should pay 5:1 if it were fair. The casino commonly pays 4:1. That missing dollar on a fair $1 model is the edge. The player can win the bet tonight, but the payout is still short over time.
Related Reading
Use craps odds for the probability base and craps house edge for the cost ranking. Compare the special case on odds bet explained with place bet house edge and proposition bet house edge. To check numbers, use the craps odds calculator and house edge calculator.