Craps Probability Table v1.0 | Reviewed May 19, 2026
Craps Probability Table
A crawlable reference table for common craps bets. Use it to compare combinations, win probability, true odds, common payout, house edge and expected loss per $100. It is not a betting system, live-table certification, payout approval or legal route.
Probability and house-edge table
| Bet type | Resolution basis | Winning combinations | Losing combinations | True odds | Common payout | House edge | Expected loss per $100 | Notes |
|---|---|---|---|---|---|---|---|---|
| Pass Line | Overall pass-line decision | 244/495, 49.29% | 251/495, 50.71% | 251:244 against | 1:1 | 1.414% | -$1.41 | Come-out plus point-cycle math. |
| Don't Pass | Overall don't-pass decision | 47.93% win | 49.29% loss, 2.78% push | Barred 12 push changes denominator | 1:1 | 1.36% | -$1.36 | Baseline with 12 barred/push. |
| Free odds on 4/10 | Point before 7 | 3 of 9, 33.33% | 6 of 9, 66.67% | 2:1 against | 2:1 | 0.00% | $0.00 | Only after point is established. |
| Free odds on 5/9 | Point before 7 | 4 of 10, 40.00% | 6 of 10, 60.00% | 3:2 against | 3:2 | 0.00% | $0.00 | Only after point is established. |
| Free odds on 6/8 | Point before 7 | 5 of 11, 45.45% | 6 of 11, 54.55% | 6:5 against | 6:5 | 0.00% | $0.00 | Only after point is established. |
| Place 4/10 | Number before 7 | 3 of 9, 33.33% | 6 of 9, 66.67% | 2:1 against | 9:5 | 6.67% | -$6.67 | Baseline place-bet payout. |
| Place 5/9 | Number before 7 | 4 of 10, 40.00% | 6 of 10, 60.00% | 3:2 against | 7:5 | 4.00% | -$4.00 | Baseline place-bet payout. |
| Place 6/8 | Number before 7 | 5 of 11, 45.45% | 6 of 11, 54.55% | 6:5 against | 7:6 | 1.52% | -$1.52 | Baseline place-bet payout. |
| Buy 4/10 | Number before 7 | 3 of 9, 33.33% | 6 of 9, 66.67% | 2:1 against | 2:1 minus commission | 1.67% | -$1.67 | Assumes 5% commission on amount bet, paid on win. |
| Buy 5/9 | Number before 7 | 4 of 10, 40.00% | 6 of 10, 60.00% | 3:2 against | 3:2 minus commission | 2.00% | -$2.00 | Assumes 5% commission on amount bet, paid on win. |
| Buy 6/8 | Number before 7 | 5 of 11, 45.45% | 6 of 11, 54.55% | 6:5 against | 6:5 minus commission | 2.27% | -$2.27 | Assumes 5% commission on amount bet, paid on win. |
| Lay 4/10 | 7 before number | 6 of 9, 66.67% | 3 of 9, 33.33% | 1:2 | 1:2 minus commission | 2.44% | -$2.44 | Commission timing and base can vary by table. |
| Lay 5/9 | 7 before number | 6 of 10, 60.00% | 4 of 10, 40.00% | 2:3 | 2:3 minus commission | 3.23% | -$3.23 | Commission timing and base can vary by table. |
| Lay 6/8 | 7 before number | 6 of 11, 54.55% | 5 of 11, 45.45% | 5:6 | 5:6 minus commission | 4.00% | -$4.00 | Commission timing and base can vary by table. |
| Field, double 2 and 12 | One-roll bet | 16 of 36, 44.44% | 20 of 36, 55.56% | 5:4 against | 1:1; 2/12 pay 2:1 | 5.56% | -$5.56 | Field variants can differ. |
| Hard 4/10 | Hard number before easy number or 7 | 1 of 9, 11.11% | 8 of 9, 88.89% | 8:1 against | 7:1 | 11.11% | -$11.11 | Loses on easy total or 7. |
| Hard 6/8 | Hard number before easy number or 7 | 1 of 11, 9.09% | 10 of 11, 90.91% | 10:1 against | 9:1 | 9.09% | -$9.09 | Loses on easy total or 7. |
| Any 7 | One-roll bet | 6 of 36, 16.67% | 30 of 36, 83.33% | 5:1 against | 4:1 | 16.67% | -$16.67 | One-roll proposition bet. |
| Any Craps | One-roll 2,3,12 | 4 of 36, 11.11% | 32 of 36, 88.89% | 8:1 against | 7:1 | 11.11% | -$11.11 | Common proposition bet. |
| Yo / Any 11 | One-roll 11 | 2 of 36, 5.56% | 34 of 36, 94.44% | 17:1 against | 15:1 | 11.11% | -$11.11 | One-roll proposition bet. |
| Aces / Any 2 | One-roll 2 | 1 of 36, 2.78% | 35 of 36, 97.22% | 35:1 against | 30:1 | 13.89% | -$13.89 | One-roll proposition bet. |
| Twelve / Boxcars | One-roll 12 | 1 of 36, 2.78% | 35 of 36, 97.22% | 35:1 against | 30:1 | 13.89% | -$13.89 | One-roll proposition bet. |
| Horn Bet | One-roll split on 2,3,11,12 | 6 of 36, 16.67% | 30 of 36, 83.33% | 5:1 against | Varies | 12.50% | -$12.50 | Assumes equal split with common 30:1/15:1 schedule. |
Source and QA registry
Formula version
Craps Probability Table v1.0. Last checked May 19, 2026.
Public fixtures
Payout calculator
Use the interactive payout calculator for stake-specific output.
What this table does not prove
This table does not prove legal availability, payout approval, casino fairness, account status, tax treatment, dice influence, table-specific rounding or whether a bet is suitable for you. If table math creates pressure to chase, raise stakes or recover losses, use the Reality Check Tool before another calculator.