Interactive craps math
Probability Explorer
See why 7 appears most often, how every box number races against it, and what the same probabilities mean for common wagers.
One roll at a time
Chance of every two-dice total
Each bar comes directly from the ordered combinations in CrapsPit’s shared rules registry.
- 2 1 way 2.78%
- 3 2 ways 5.56%
- 4 3 ways 8.33%
- 5 4 ways 11.11%
- 6 5 ways 13.89%
- 7 6 ways 16.67%
- 8 5 ways 13.89%
- 9 4 ways 11.11%
- 10 3 ways 8.33%
- 11 2 ways 5.56%
- 12 1 way 2.78%
Standing number race
Will 6 arrive before 7?
Choose a box number. Rolls that are neither the number nor 7 keep the race going.
- Hit before 7
- 45.45% 5 combinations
- 7 arrives first
- 54.55% 6 combinations
- Average to resolution
- 3.27 rolls 11 resolving combinations
A 6 has 5 ways to roll; 7 has 6. Ignore non-resolving rolls and the race is 5 against 6. On average, one of them appears every 3.27 rolls.
Same dice, different prices
Compare common craps bets
House edge, decision win chance, expected loss, and payout all come from the same engine used by CrapsPit’s other tools.
Pass Line
Line and Come
- House edge
- 1.41%
- Win chance
- 49.29%
- Expected loss per $100
- $1.41
- Standard payout
- 1 to 1
Even-money contract wager. On the come-out it wins on 7 or 11, loses on 2, 3, or 12, and otherwise establishes a point.
Read the wager guideDon't Pass
Line and Come
- House edge
- 1.36%
- Win chance
- 47.93%
- Expected loss per $100
- $1.36
- Standard payout
- 1 to 1
Even-money contract wager under standard bar-12 rules. A come-out 12 pushes.
Read the wager guideTake Odds on 6
Odds
- House edge
- 0% (true odds)
- Win chance
- 45.45%
- Expected loss per $100
- $0.00
- Standard payout
- 6 to 5
Backs the established point and pays the true point-versus-7 odds.
Read the wager guidePlace 6
Number bets
- House edge
- 1.51%
- Win chance
- 45.45%
- Expected loss per $100
- $1.51
- Standard payout
- 7 to 6
Wins when the selected box number appears before 7 at the standard Place payout.
Read the wager guideHard 6
Standing propositions
- House edge
- 9.09%
- Win chance
- 9.09%
- Expected loss per $100
- $9.09
- Standard payout
- 9 to 1
Wins when the selected even total appears as a pair before its easy combinations or 7.
Read the wager guideAny Craps
One-roll bets
- House edge
- 11.11%
- Win chance
- 11.11%
- Expected loss per $100
- $11.11
- Standard payout
- 7 to 1
Wins on 2, 3, or 12 on the next roll.
Read the wager guideAny 7
One-roll bets
- House edge
- 16.67%
- Win chance
- 16.67%
- Expected loss per $100
- $16.67
- Standard payout
- 4 to 1
Wins on any of the six combinations totaling 7 on the next roll.
Read the wager guideMethod: Two fair six-sided dice produce 36 equally likely ordered outcomes. Standing wagers are evaluated per resolved decision; one-roll wagers use all 36 outcomes; Pass, Come, Don’t Pass, and Don’t Come use their complete contract cycles. Review the rules source. Educational model only; table rules and commission practices can vary.
How to read the explorer
Two fair six-sided dice have 36 equally likely ordered outcomes. A total of 7 has six combinations, so it appears more often than any other total. Totals 6 and 8 each have five combinations; totals 4 and 10 have three each.
What “before 7” means
A Place bet and several other standing wagers remain active through unrelated rolls. If you select 6, for example, five combinations win the number race and six combinations lose it to 7. The other 25 combinations do not settle the race, so the probability is measured across eventual decisions rather than a single roll.
Probability is not a prediction
The percentages describe long-run frequencies, not what the next roll must do. Dice do not become “due” after a streak, and a short session can finish far above or below the mathematical average.
Sources and further reading
- Massachusetts Gaming Commission: Craps and Mini-Craps rules
- How craps odds and house edge work
- Craps payout table
- Craps rules for beginners
- Responsible gambling resources
Rules registry: version 1.0.0. Math reviewed: August 29, 2026. This is an educational tool, not a betting system. Set a budget and never chase losses.
