While the dice may be random, your choice of bet doesn't have to be—discover how the Pass Line bet's 1.41% house edge compares to the Don't Pass's 1.36% and why Place bets on the 4 or 10 carry a steep 6.67% disadvantage to find the smartest plays at the craps table.
Key Takeaways
- House edge on Pass Line bet is 1.41%
- House edge on Don't Pass bet is 1.36%
- House edge on Come bet is 1.41%
- Probability of winning Pass Line bet is 49.29%
- Probability of losing Pass Line bet is 47.93%
- Probability of Pass Line push is 2.78%
- Pass Line pays 1 to 1
- Don't Pass pays 1 to 1
- Odds bet on 4 or 10 pays 2 to 1
- Probability of rolling a 2 is 2.78% (1/36 ways)
- Probability of rolling a 3 is 5.56% (2/36 ways)
- Probability of rolling a 4 is 8.33% (3/36 ways)
- Game uses two standard six-sided dice
- Come-out roll establishes point or resolves Pass
- Point must repeat before 7 to win Pass Line
Craps house edges vary widely, so choose your bets wisely.
Dice Roll Statistics
- Probability of rolling a 2 is 2.78% (1/36 ways)
- Probability of rolling a 3 is 5.56% (2/36 ways)
- Probability of rolling a 4 is 8.33% (3/36 ways)
- Probability of rolling a 5 is 11.11% (4/36 ways)
- Probability of rolling a 6 is 13.89% (5/36 ways)
- Probability of rolling a 7 is 16.67% (6/36 ways)
- Probability of rolling an 8 is 13.89% (5/36 ways)
- Probability of rolling a 9 is 11.11% (4/36 ways)
- Probability of rolling a 10 is 8.33% (3/36 ways)
- Probability of rolling an 11 is 5.56% (2/36 ways)
- Probability of rolling a 12 is 2.78% (1/36 ways)
- Ways to roll a 2: 1 (1-1)
- Ways to roll a 3: 2 (1-2,2-1)
- Ways to roll a 4: 3 (1-3,2-2,3-1)
- Ways to roll a 5: 4 (1-4,2-3,3-2,4-1)
- Ways to roll a 6: 5 (1-5,2-4,3-3,4-2,5-1)
- Ways to roll a 7: 6 (1-6,2-5,3-4,4-3,5-2,6-1)
- Ways to roll an 8: 5 (2-6,3-5,4-4,5-3,6-2)
- Ways to roll a 9: 4 (3-6,4-5,5-4,6-3)
- Ways to roll a 10: 3 (4-6,5-5,6-4)
- Ways to roll an 11: 2 (5-6,6-5)
- Ways to roll a 12: 1 (6-6)
- Hard ways for 4: 1 (2-2)
- Hard ways for 6: 1 (3-3)
- Hard ways for 8: 1 (4-4)
- Hard ways for 10: 1 (5-5)
- Total possible dice outcomes: 36
- Even sums more likely than odd except 7
- Average roll total: 7
- Variance of single roll: 29/6 ≈4.833
- Probability of double on hardway rolls varies 2.78% for 2/12
- Craps numbers (2,3,12) total 4 ways out of 36
- Natural numbers (7,11) total 8 ways out of 36
- Point numbers total 24 ways out of 36 on come-out
- Pass Line resolves on come-out 33.33% of time
- Pass Line goes to point 66.67% of time
Dice Roll Statistics Interpretation
The dice are a beautifully symmetrical tyrant, where the humble seven reigns supreme with a 16.67% chance of showing up, cruelly reminding you that the coveted hardways are each a mere 2.78% long shot.
Game Rules and Strategy Statistics
- Game uses two standard six-sided dice
- Come-out roll establishes point or resolves Pass
- Point must repeat before 7 to win Pass Line
- 7 on point is seven-out, ends shooter's turn
- Odds bets have zero house edge, best bet
- Don't Pass wins on 2 or 3 come-out, pushes 12
- Place bets working unless off
- Proposition bets one-roll only
- Field bet wins on 2,3,4,9,10,11,12
- Average number of rolls per shooter: 8.5
- Iron Cross strategy covers most numbers
- 3-Point Molly reduces house edge to 0%
- Crapless Craps increases house edge
- Buy bets require vig upfront or win
- Lay bets pay vig on win
- Come bets act like Pass after point
- Shooter must bet Pass or Don't to shoot
- Table minimums often $5-$25 for Pass
- Odds multiples up to 100x in some casinos
Game Rules and Strategy Statistics Interpretation
Craps is a masterclass in probability theater where you can chase a fleeting point across an average of 8.5 rolls, hedge your bets with iron crosses and mollies, and still hold your breath for the devastating yet inevitable seven-out.
House Edge Statistics
- House edge on Pass Line bet is 1.41%
- House edge on Don't Pass bet is 1.36%
- House edge on Come bet is 1.41%
- House edge on Don't Come bet is 1.36%
- House edge on Pass Line with 3-4-5x odds is 0.37%
- House edge on Place 6 or 8 bet is 1.52%
- House edge on Place 5 or 9 bet is 4.00%
- House edge on Place 4 or 10 bet is 6.67%
- House edge on Buy 4 or 10 (5% vig) is 4.76%
- House edge on Lay 4 or 10 ($5 vig) is 2.44%
- House edge on Big 6 bet is 9.09%
- House edge on Big 8 bet is 9.09%
- House edge on Hard 6 bet is 9.09%
- House edge on Hard 8 bet is 9.09%
- House edge on Hard 4 bet is 11.11%
- House edge on Hard 10 bet is 11.11%
- House edge on Any 7 bet is 16.67%
- House edge on Any Craps bet is 11.11%
- House edge on Yo 11 bet is 11.11%
- House edge on Horn bet is 12.50%
- House edge on Field bet (2:1 on 12) is 5.56%
- House edge on Crapless Craps Pass Line is 5.38%
- House edge on Proposition 2 bet is 35.14%
- House edge on Proposition 3 bet is 15.28%
- House edge on Proposition 12 bet is 34.72%
- House edge on Hi-Lo Yo bet is 11.11%
- House edge on Don't Pass with 3-4-5x odds is 0.27%
- House edge on Place 6 with odds is 0.46%
- House edge on Field bet (3:1 on 12) is 2.78%
House Edge Statistics Interpretation
While the right side of the table offers slim, negotiable margins for the thoughtful player, the left side reads like a not-so-subtle menu of exciting new ways to donate your money to the casino.
Payout and Odds Statistics
- Pass Line pays 1 to 1
- Don't Pass pays 1 to 1
- Odds bet on 4 or 10 pays 2 to 1
- Odds bet on 5 or 9 pays 3 to 2
- Odds bet on 6 or 8 pays 6 to 5
- Place 6 or 8 pays 7 to 6
- Place 5 or 9 pays 7 to 5
- Place 4 or 10 pays 9 to 5
- Buy 4 or 10 pays true odds minus vig
- Field bet pays 1 to 1 (2:1 on 2, 3:1 on 12 variant)
- Any 7 pays 4 to 1
- Any Craps pays 7 to 1
- Yo 11 pays 15 to 1
- Horn pays 27 to 3 on 2/12, 15 to 1 on 3/11
- Hard 6 pays 9 to 1
- Hard 8 pays 9 to 1
- Hard 4 pays 7 to 1
- Hard 10 pays 9 to 1
- Big 6 pays 1 to 1
- Proposition 2 pays 30 to 1
- Proposition 3 pays 15 to 1
- Proposition 11 pays 15 to 1
- Proposition 12 pays 30 to 1
- True odds against 4 or 10 are 2 to 1
- True odds against 5 or 9 are 3 to 2
- True odds against 6 or 8 are 6 to 5
- Hi-Lo pays 15 to 1 on 2 or 12
- C&E pays 3 to 1 on craps, 7 to 1 on 11
Payout and Odds Statistics Interpretation
The house offers you an enticing array of bets to celebrate their generosity, while quietly charging a cover charge on nearly every transaction.
Probability Statistics
- Probability of winning Pass Line bet is 49.29%
- Probability of losing Pass Line bet is 47.93%
- Probability of Pass Line push is 2.78%
- Probability of winning Don't Pass bet is 49.93%
- Probability of rolling 7 on come-out is 22.22%
- Probability of craps on come-out (2,3,12) is 11.11%
- Probability of point on come-out is 66.67%
- Probability of making 4 before 7 is 33.33%
- Probability of making 5 before 7 is 40.00%
- Probability of making 6 before 7 is 45.45%
- Probability of making 8 before 7 is 45.45%
- Probability of making 9 before 7 is 40.00%
- Probability of making 10 before 7 is 33.33%
- Probability of 7-out after point is 33.33% for point 4/10
- Expected rolls per Pass decision is 3.38
- Probability of rolling 7 anytime is 16.67%
- Probability of natural 7 or 11 on come-out is 22.22%
- Probability of shooting a seven after 4 is 54.55%
- Probability of winning Place 6 bet is 45.45%
- Probability of Any Craps is 11.11%
- Probability of Yo 11 is 2.78%
- Probability of Horn combo winning is 11.11%
- Probability of Field winning is 44.44%
- Probability of 2 or 12 on Field is 5.56%
- Probability of sevens after point 6/8 is 45.45% for 7
- Probability of Pass Line win on come-out is 22.22%
- Probability of Don't Pass win on come-out is 2.78%
- Probability of point 4 or 10 established is 13.89%
- Probability of point 5 or 9 established is 22.22%
- Probability of point 6 or 8 established is 31.11%
Probability Statistics Interpretation
While the house’s edge is mathematically tiny, it’s a masterful illusion that makes you feel like you’re constantly on the verge of a win while the casino quietly turns your long-term enthusiasm into their profit margin.
Sources & References
- Reference 1WIZARDOFODDSwizardofodds.comVisit source
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- Reference 3GAMBLINGSITESgamblingsites.comVisit source
- Reference 4888CASINO888casino.comVisit source
- Reference 5POKERNEWSpokernews.comVisit source
- Reference 6MATHWORLDmathworld.wolfram.comVisit source
- Reference 7CASINOCENTERcasinocenter.comVisit source