Craps Probability Explorer

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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.

36 equally likely dice combinations Shared rules 1.0.0 · reviewed August 29, 2026

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.

  1. 2 1 way 2.78%
  2. 3 2 ways 5.56%
  3. 4 3 ways 8.33%
  4. 5 4 ways 11.11%
  5. 6 5 ways 13.89%
  6. 7 6 ways 16.67%
  7. 8 5 ways 13.89%
  8. 9 4 ways 11.11%
  9. 10 3 ways 8.33%
  10. 11 2 ways 5.56%
  11. 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.

Selected number
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 guide

Don'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 guide

Take 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 guide

Place 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 guide

Hard 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 guide

Any 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 guide

Any 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 guide

Method: 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.

Why zero-edge Odds still need a flat bet

The “Take Odds on 6” card describes only the supplemental Odds wager after a point exists. It cannot normally be placed by itself. Suppose you already have $10 on Pass Line at point 6 and add $10 Odds. A 6 before 7 earns $10 profit on Pass and $12 on Odds, or $22 profit total. A 7 first loses the full $20 at risk.

Conditioned on point 6, five combinations favor 6 and six favor 7. The Odds portion averages (5 × $12 − 6 × $10) ÷ 11 = $0 per completed decision. The flat Pass portion averages (5 × $10 − 6 × $10) ÷ 11 = about −$0.91 from this point-stage state. The combined position therefore still has expected loss. The card’s 0% is not the edge of the required Pass-plus-Odds package.

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.

Turn a percentage into expected cost

House edge becomes easier to compare when it is converted to dollars on the same wager amount. A $10 Place 6 at about 1.52% has an expected cost of roughly $0.15 per resolved decision. A $10 Any 7 at 16.67% has an expected cost of roughly $1.67 per roll. One actual decision still wins or loses its stated payoff; the expected cost is a long-run average.

Do not multiply a standing bet’s edge by every neutral roll. First identify the wager’s decision basis, then count completed decisions or use the payout auditor’s stated model. Session estimates also need the amount wagered and the number of decisions; probability alone does not supply either one.

Work one before-7 race by hand

Select total 6. Five of the 36 ordered combinations make 6, six make 7, and the other 25 are neutral to this race. Once neutral rolls are removed from the eventual decision, 11 relevant combinations remain. The chance that 6 arrives before 7 is therefore 5 ÷ 11, or about 45.45%; the chance that 7 arrives first is 6 ÷ 11, or about 54.55%.

A sequence such as 3, 9, and 11 can delay the decision, but it does not put extra winning combinations on either side of the next relevant roll. For 4 before 7, use three combinations for 4 and six for 7: 3 ÷ 9 equals 33.33%. For 8 before 7, the calculation returns to 5 ÷ 11 because 8 also has five combinations.

Use this cancellation only for a clearly defined race. A one-roll Field or proposition wager resolves under a different rule, and a full Pass Line contract includes its come-out stage before any point race begins.

Sources and further reading

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.