Two dice. Six faces each. Exactly 36 possible outcomes — and every craps bet lives or dies by which combination lands. Here's every roll, visualized with exact probabilities.
Craps is not a game of hunches — it's dice geometry. Two standard six-sided dice produce 36 equally probable outcomes. The 7 appears 6 times out of 36 (1-in-6), which is why it dominates the entire game. No other total comes close. Place bets, pass line payouts, hardway odds, fire bet probabilities — all of it traces back to how often each total appears relative to the 7.
The key ratio: Once a point is set, every number races against the 7. A 6 has 5 ways to roll vs 6 ways to roll 7 — winning 45.5% of the time. A 4 has only 3 ways vs 6 — winning just 33.3%. This ratio determines every place bet payout and every true odds payment.
| Total | Dice Faces | Ways | Probability | Fraction | Key Craps Meaning |
|---|
Each combination is shown with emoji dice faces and the individual die values. Red cards are hardway rolls — both dice show the same value. These are the only combos that pay hardway bets.
A "hardway" rolls when both dice show the same number. Hard 6 = 3+3 — the only doubles combination that makes 6. Any other 6 (1+5 or 2+4) is an "easy" 6. Hardway bets lose on easy combinations or on a 7.
| Bet | Hard Combo | Easy Combos | Ways Hard | Ways Easy | Ways 7 | True Odds | Casino Pays | House Edge |
|---|---|---|---|---|---|---|---|---|
| Hard 4 | ⚁⚁ (2+2) | ⚀⚂ ⚂⚀ | 1 | 2 | 6 | 8:1 | 7:1 | 11.11% |
| Hard 6 | ⚂⚂ (3+3) | ⚀⚄ ⚄⚀ ⚁⚃ ⚃⚁ | 1 | 4 | 6 | 10:1 | 9:1 | 9.09% |
| Hard 8 | ⚃⚃ (4+4) | ⚁⚅ ⚅⚁ ⚂⚄ ⚄⚂ | 1 | 4 | 6 | 10:1 | 9:1 | 9.09% |
| Hard 10 | ⚄⚄ (5+5) | ⚃⚅ ⚅⚃ | 1 | 2 | 6 | 8:1 | 7:1 | 11.11% |
Every point-phase decision is a race between the established point and the 7. The ratio of ways to hit the point vs. ways to roll 7 determines the true odds — and any shortfall is house edge.
| Point | Ways to Hit | Ways to 7 | P(Make) | True Odds | Place Pays | Pass Odds |
|---|---|---|---|---|---|---|
| 4 or 10 | 3 | 6 | 33.33% | 2:1 | 9:5 | 2:1 ✓ |
| 5 or 9 | 4 | 6 | 40.00% | 3:2 | 7:5 | 3:2 ✓ |
| 6 or 8 | 5 | 6 | 45.45% | 6:5 | 7:6 | 6:5 ✓ |
Pass Line Odds pay true odds — zero house edge. Taking max odds is always the right move. Blending it with the Pass Line's 1.41% edge brings your combined rate down to ~0.37%.
See every combination land live. Track the roll distribution across thousands of rolls and backtest strategies against real dice data.