Craps Odds, Payouts & House Edge Table
Craps holds both the fairest bets in the casino—Pass (1.41%) and Don’t Pass (1.36%) backed by 0.00%-edge Free Odds—and the worst proposition bets on the floor, led by Any Seven at 16.67%. Test any bet live in our Free Craps Simulator.
Every Craps Bet Ranked: Payout, True Odds & House Edge
| Bet Name | Casino Payout | True Odds | Win Prob | House Edge (per bet) | Avg Rolls | Edge per Roll |
|---|---|---|---|---|---|---|
| Pass Line Wins on come-out 7 or 11; loses on 2, 3, or 12; otherwise establishes a point and wins if repeated before 7. | 1 to 1 | 1.03 : 1 | 49.29% | 1.41% | 3.38 | 0.42% |
| Come Bet Identical mathematics to the Pass Line, starting its own come-out roll after a table point is already established. | 1 to 1 | 1.03 : 1 | 49.29% | 1.41% | 3.38 | 0.42% |
| Don't Pass (Bar 12) Wins on come-out 2 or 3, pushes on 12 (Bar 12), loses on 7 or 11; once a point is set, wins if 7 rolls before the point. | 1 to 1 | 1.03 : 1 | 47.93% | 1.36% | 3.38 | 0.40% |
| Don't Come (Bar 12) Identical to Don't Pass, placed on any roll after the shooter has established a main point. | 1 to 1 | 1.03 : 1 | 47.93% | 1.36% | 3.38 | 0.40% |
| Free Odds on 4 or 10 (Pass / Come) Paid at true 6-to-3 (2:1) odds behind a Pass or Come point of 4 or 10. Zero house edge. | 2 to 1 | 2.00 : 1 | 33.33% | 0.00% | 4.00 | 0.00% |
| Free Odds on 5 or 9 (Pass / Come) Paid at true 6-to-4 (3:2) odds behind a Pass or Come point of 5 or 9. Zero house edge. | 3 to 2 | 1.50 : 1 | 40.00% | 0.00% | 3.60 | 0.00% |
| Free Odds on 6 or 8 (Pass / Come) Paid at true 6-to-5 odds behind a Pass or Come point of 6 or 8. Zero house edge. | 6 to 5 | 1.20 : 1 | 45.45% | 0.00% | 3.27 | 0.00% |
| Lay Free Odds vs 4 or 10 (Don't Pass) Paid at true 3-to-6 (1:2) odds behind a Don't Pass or Don't Come point of 4 or 10. Zero house edge. | 1 to 2 | 0.50 : 1 | 66.67% | 0.00% | 4.00 | 0.00% |
| Lay Free Odds vs 5 or 9 (Don't Pass) Paid at true 4-to-6 (2:3) odds behind a Don't Pass or Don't Come point of 5 or 9. Zero house edge. | 2 to 3 | 0.67 : 1 | 60.00% | 0.00% | 3.60 | 0.00% |
| Lay Free Odds vs 6 or 8 (Don't Pass) Paid at true 5-to-6 odds behind a Don't Pass or Don't Come point of 6 or 8. Zero house edge. | 5 to 6 | 0.83 : 1 | 54.55% | 0.00% | 3.27 | 0.00% |
| Crapless Craps Pass Line Only 7 wins on the come-out roll; 2, 3, 11, and 12 become point numbers that must be rolled again before a 7 for a 1:1 payout. | 1 to 1 | 1.11 : 1 | 47.31% | 5.38% | 4.16 | 1.29% |
| Place 6 or Place 8 Wins if 6 (or 8) rolls before 7; pays $7 for every $6 wagered. The best multi-roll number bet after Pass/Come. | 7 to 6 | 1.20 : 1 | 45.45% | 1.52% | 3.27 | 0.46% |
| Place 5 or Place 9 Wins if 5 (or 9) rolls before 7; pays $7 for every $5 wagered. | 7 to 5 | 1.50 : 1 | 40.00% | 4.00% | 3.60 | 1.11% |
| Place 4 or Place 10 Wins if 4 (or 10) rolls before 7; pays $9 for every $5 wagered (worse than buying the 4 or 10). | 9 to 5 | 2.00 : 1 | 33.33% | 6.67% | 4.00 | 1.67% |
| Buy 4 or 10 (5% Vig Upfront) Pays true 2:1 odds on 4 or 10 less a 5% commission ($1 vig per $20 bet). Drops to 1.67% at casinos that charge vig on wins only. | 2 to 1 (−5% vig) | 2.00 : 1 | 33.33% | 4.76% | 4.00 | 1.19% |
| Lay 4 or 10 Against 7 (5% Vig on Win) Wins if 7 rolls before 4 (or 10); stake $40 to win $20 less $1 vig ($19 net profit). | 1 to 2 (−5% vig) | 0.50 : 1 | 66.67% | 2.44% | 4.00 | 0.61% |
| Field (2x on 2 and 12) One-roll bet winning 1:1 on 3, 4, 9, 10, 11 and 2:1 on 2 and 12; loses on 5, 6, 7, 8 (20 ways vs. 16 ways). | 1:1 (2x on 2, 12) | 1.25 : 1 | 44.44% | 5.56% | 1.00 | 5.56% |
| Field (2x on 2, 3x on 12) Generous Field rule paying triple (3:1) on 12 and double (2:1) on 2, cutting the Field house edge in half to 2.78%. | 1:1 (2x on 2, 3x on 12) | 1.25 : 1 | 44.44% | 2.78% | 1.00 | 2.78% |
| Hard 6 or Hard 8 Wins only on 3-3 (or 4-4) before any 7 or easy 6/8 (10 ways to lose vs. 1 way to win). | 9 to 1 | 10.00 : 1 | 9.09% | 9.09% | 3.27 | 2.78% |
| Hard 4 or Hard 10 Wins only on 2-2 (or 5-5) before any 7 or easy 4/10 (8 ways to lose vs. 1 way to win). | 7 to 1 | 8.00 : 1 | 11.11% | 11.11% | 4.00 | 2.78% |
| Any Seven (Big Red) One-roll proposition on 7: true odds are 5 to 1, but the casino pays 4 to 1 (a 16.67% single-roll house edge). | 4 to 1 | 5.00 : 1 | 16.67% | 16.67% | 1.00 | 16.67% |
| Any Craps (2, 3, or 12) One-roll bet on 2, 3, or 12 (4 ways out of 36): true odds are 8 to 1, paid at 7 to 1. | 7 to 1 | 8.00 : 1 | 11.11% | 11.11% | 1.00 | 11.11% |
| Yo (Eleven) One-roll bet on 11 (5-6 or 6-5): true odds are 17 to 1, paid at 15 to 1. | 15 to 1 | 17.00 : 1 | 5.56% | 11.11% | 1.00 | 11.11% |
| Ace-Deuce (Three) One-roll bet on 3 (1-2 or 2-1): true odds are 17 to 1, paid at 15 to 1. | 15 to 1 | 17.00 : 1 | 5.56% | 11.11% | 1.00 | 11.11% |
| Snake Eyes (Two / Aces) One-roll bet on 1-1: true odds are 35 to 1, paid at 30 to 1 (13.89% house edge). | 30 to 1 | 35.00 : 1 | 2.78% | 13.89% | 1.00 | 13.89% |
| Boxcars / Midnight (Twelve) One-roll bet on 6-6: true odds are 35 to 1, paid at 30 to 1 (13.89% house edge). | 30 to 1 | 35.00 : 1 | 2.78% | 13.89% | 1.00 | 13.89% |
How Free Odds Dilute the Pass and Don’t Pass House Edge
Once a point is established, the casino allows you to place an additional wager behind your Pass Line or Come bet—called Free Odds—that pays exact mathematical true odds (2 to 1 on 4/10, 3 to 2 on 5/9, and 6 to 5 on 6/8). Because the Free Odds portion has a 0.00% house edge, your expected dollar loss per shooter remains fixed at $10 × 1.41% = $0.141 on a $10 flat bet while your total action increases, shrinking the combined house edge across your total wager:
| Free Odds Multiple | Avg Total Units Risked (Pass) | Pass + Odds Combined Edge | Don’t Pass + Lay Odds Edge | Expected Loss per $10 Flat Bet |
|---|---|---|---|---|
| 0x (Flat Bet Only) | 1.00x | 1.414% | 1.364% | $0.141 |
| 1x Free Odds | 1.67x | 0.848% | 0.818% | $0.141 |
| 2x Free Odds | 2.33x | 0.606% | 0.584% | $0.141 |
| 3-4-5x Odds (Standard Max) | 3.78x | 0.374% | 0.273% | $0.141 |
| 5x Free Odds | 4.33x | 0.326% | 0.315% | $0.141 |
| 10x Free Odds | 7.67x | 0.184% | 0.178% | $0.141 |
| 20x Free Odds | 14.33x | 0.099% | 0.095% | $0.141 |
| 100x Free Odds | 67.67x | 0.021% | 0.020% | $0.141 |
Complete 36-Roll Two-Dice Distribution
Two six-sided dice produce 6 × 6 = 36 ordered outcomes. Note that (1, 2) and (2, 1) are two distinct physical outcomes (one where the red die shows 1 and the blue die shows 2, and one where the red die shows 2 and the blue die shows 1), whereas hard pairs like (1, 1) or (6, 6) can occur in only one way:
| Dice Sum | Ways out of 36 | Single-Roll Prob | Prob Before 7 (w/(w+6)) | Ordered Dice Pairs (d1, d2) |
|---|---|---|---|---|
| 2 | 1 / 36 | 2.78% | 14.29% | (1,1) |
| 3 | 2 / 36 | 5.56% | 25.00% | (1,2), (2,1) |
| 4 | 3 / 36 | 8.33% | 33.33% | (1,3), (2,2), (3,1) |
| 5 | 4 / 36 | 11.11% | 40.00% | (1,4), (2,3), (3,2), (4,1) |
| 6 | 5 / 36 | 13.89% | 45.45% | (1,5), (2,4), (3,3), (4,2), (5,1) |
| 7 | 6 / 36 | 16.67% | — | (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) |
| 8 | 5 / 36 | 13.89% | 45.45% | (2,6), (3,5), (4,4), (5,3), (6,2) |
| 9 | 4 / 36 | 11.11% | 40.00% | (3,6), (4,5), (5,4), (6,3) |
| 10 | 3 / 36 | 8.33% | 33.33% | (4,6), (5,5), (6,4) |
| 11 | 2 / 36 | 5.56% | 25.00% | (5,6), (6,5) |
| 12 | 1 / 36 | 2.78% | 14.29% | (6,6) |
Exact Derivation of the 1.41% Pass Line & 5.38% Crapless Edge
Using the law of total probability over the come-out roll S1 ∈ (2..12):
P(Pass Wins) = P(S1 ∈ (7, 11)) + Σ P(S1 = p) × (w(p) / (w(p) + 6))
P(Pass Wins) = 8/36 + 2 × ((3/36)(3/9) + (4/36)(4/10) + (5/36)(5/11)) = 8/36 + 1/18 + 4/45 + 25/198 = 244/495 ≈ 49.2929%
Since a losing Pass Line decision occurs with probability 1 − 244/495 = 251/495 ≈ 50.7071%, the expected value per unit staked is (244 − 251) / 495 = −7/495 ≈ −1.41%.
In Crapless Craps, only 7 wins on the come-out roll (6/36), and all ten remaining totals (2, 3, 4, 5, 6, 8, 9, 10, 11, 12) become point numbers:
P(Crapless Pass Wins) = 6/36 + 2 × ((1/36)(1/7) + (2/36)(2/8) + (3/36)(3/9) + (4/36)(4/10) + (5/36)(5/11)) = 6557/13860 ≈ 47.3088%
That drops the player’s win probability by nearly two full percentage points and inflates the Pass Line house edge to 1 − 2 × (6557/13860) = 746/13860 = 373/6930 ≈ 5.38%.
Frequently asked questions
- Why does the Pass Line have a 1.41% house edge?
- Out of 495 resolved Pass Line decisions, you win 244 times (49.29%) and lose 251 times (50.71%). Specifically, you win 8/36 on the come-out roll (7 or 11), plus 2*(3/36)*(3/9) on 4 & 10, plus 2*(4/36)*(4/10) on 5 & 9, plus 2*(5/36)*(5/11) on 6 & 8, which sums to 244/495. The net expected value is (244 − 251) / 495 = −7/495 = −1.41%.
- Why does Don’t Pass bar the 12 on the come-out roll?
- If Don’t Pass won on all three craps numbers (2, 3, and 12), the dark-side player would have a +1.41% advantage over the casino! Making 12 a push (“Bar 12”) removes 1/36 of the come-out wins and shifts the balance to a 1.36% house edge per come-out roll (or 1.40% per non-pushed decision). Some tables “Bar 2” instead, which is mathematically identical because both 2 and 12 have 1 way out of 36.
- What is the difference between house edge per bet and house edge per roll?
- A one-roll proposition like Any Seven (16.67%) resolves on every throw of the dice. A Pass Line bet (1.41%) takes an average of 3.38 rolls to resolve, so its cost per individual roll of the dice is only 0.42%. That is why center-table one-roll bets drain a bankroll 30 to 40 times faster per hour than line bets.
- Should I Place or Buy the 4 and 10?
- Always Buy the 4 and 10 rather than Place them. Placing 4 or 10 pays 9 to 5 against true 2-to-1 odds, carrying a 6.67% house edge. Buying 4 or 10 pays true 2-to-1 odds minus a 5% commission ($1 vig per $20 bet), cutting the house edge to 4.76% if the vig is charged upfront—or 1.67% at casinos that charge the vig only when the bet wins.