DashboardExact casino math
Craps
Reducer-style table state with exact roll frequencies and bet-resolution logic across line, odds, place, buy, and hardways.
Analyzer
Configure the craps layout
Use the table board to set points and working bets, then choose dice in the sidebar for an immediate roll preview.
Point 69 bet(s)
PointCome and centerWorking numbersOddsLine
Rolled 8 hard. 5 bet events; next table state: Point 6.
- FieldField bet loses on 5, 6, 7, or 8.LOSE -1.000u
- ComeCome bet travels to 8.TRAVEL 0.000u
- Come on 8Come bet wins because 8 rolled before 7.WIN +1.000u
- Come odds on 8Come odds pay true odds when 8 repeats before 7.WIN +1.200u
- Hard 8Hard 8 wins because the roll was made the hard way.WIN +9.000u
Rules
Craps as a state machine
Come-out rolls, points, traveling bets, and per-roll resolution are deterministic once the table state is known.
The table is a state machine: come-out rolls establish points, active bets travel, and every roll resolves against a known distribution.
- Come-out rolls establish the point on 4, 5, 6, 8, 9, or 10.
- Pass and Come share the same underlying EV; Don't Pass and Don't Come mirror the opposite side.
- Odds bets are included only when the matching line bet and point phase make them valid.
Reference
Core bet table
Keep the payout reference below the live preview so the configured table stays first.
| Bet | Payout | Win / push | EV / unit | House edge |
|---|---|---|---|---|
| Pass lineExact line-bet EV from the come-out roll through the point cycle. | 1:1 | 49.29% / 0.00% | -0.014u | 1.41% |
| Don't PassBars 12 on the come-out, which creates the small push probability. | 1:1 | 47.93% / 2.78% | -0.014u | 1.36% |
| ComeOnce a Come bet is made, its EV matches the Pass line from that new come-out cycle. | 1:1 | 49.29% / 0.00% | -0.014u | 1.41% |
| Don't ComeOnce a Don't Come bet is made, it mirrors Don't Pass math with the same bar-12 push. | 1:1 | 47.93% / 2.78% | -0.014u | 1.36% |
| Pass odds on 4 / 10True odds with zero house edge after the point is established. | 2:1 | 33.33% / 0.00% | 0.000u | 0.00% |
| Pass odds on 5 / 9True odds with zero house edge after the point is established. | 3:2 | 40.00% / 0.00% | +0.000u | -0.00% |
| Pass odds on 6 / 8True odds with zero house edge after the point is established. | 6:5 | 45.45% / 0.00% | 0.000u | 0.00% |
| Don't Pass odds on 4 / 10True odds with zero house edge when fading 4 or 10. | 1:2 | 66.67% / 0.00% | 0.000u | 0.00% |
| Don't Pass odds on 5 / 9True odds with zero house edge when fading 5 or 9. | 2:3 | 60.00% / 0.00% | -0.000u | 0.00% |
| Don't Pass odds on 6 / 8True odds with zero house edge when fading 6 or 8. | 5:6 | 54.55% / 0.00% | 0.000u | 0.00% |
| FieldOne-roll wager whose edge depends on the table's bonus schedule for 2 and 12. | 1:1, 2:1 on 2, 3:1 on 12 | 44.44% / 0.00% | -0.028u | 2.78% |
| Place 4 / 10Persistent bet that wins when 4 or 10 rolls before 7. | 9:5 | 33.33% / 0.00% | -0.067u | 6.67% |
| Place 5 / 9Persistent bet that wins when 5 or 9 rolls before 7. | 7:5 | 40.00% / 0.00% | -0.040u | 4.00% |
| Place 6 / 8The strongest standard place-bet family on the table. | 7:6 | 45.45% / 0.00% | -0.015u | 1.52% |
| Buy 4 / 10Assumes the commission is collected on wins, matching the reducer's current behavior. | True odds less vig | 33.33% / 0.00% | -0.017u | 1.67% |
| Buy 5 / 9Assumes the commission is collected on wins, matching the reducer's current behavior. | True odds less vig | 40.00% / 0.00% | -0.020u | 2.00% |
| Buy 6 / 8Assumes the commission is collected on wins, matching the reducer's current behavior. | True odds less vig | 45.45% / 0.00% | -0.023u | 2.27% |
| Hard 4 / 10Wins only on the hard combination before an easy total or 7 appears. | 7:1 | 11.11% / 0.00% | -0.111u | 11.11% |
| Hard 6 / 8Wins only on the hard combination before an easy total or 7 appears. | 9:1 | 9.09% / 0.00% | -0.091u | 9.09% |