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
1Probability of rolling a 2 is 2.78% (1/36 ways)
Verified2Probability of rolling a 3 is 5.56% (2/36 ways)
Verified3Probability of rolling a 4 is 8.33% (3/36 ways)
Verified4Probability of rolling a 5 is 11.11% (4/36 ways)
Directional5Probability of rolling a 6 is 13.89% (5/36 ways)
Single source6Probability of rolling a 7 is 16.67% (6/36 ways)
Verified7Probability of rolling an 8 is 13.89% (5/36 ways)
Verified8Probability of rolling a 9 is 11.11% (4/36 ways)
Verified9Probability of rolling a 10 is 8.33% (3/36 ways)
Directional10Probability of rolling an 11 is 5.56% (2/36 ways)
Single source11Probability of rolling a 12 is 2.78% (1/36 ways)
Verified12Ways to roll a 2: 1 (1-1)
Verified13Ways to roll a 3: 2 (1-2,2-1)
Verified14Ways to roll a 4: 3 (1-3,2-2,3-1)
Directional15Ways to roll a 5: 4 (1-4,2-3,3-2,4-1)
Single source16Ways to roll a 6: 5 (1-5,2-4,3-3,4-2,5-1)
Verified17Ways to roll a 7: 6 (1-6,2-5,3-4,4-3,5-2,6-1)
Verified18Ways to roll an 8: 5 (2-6,3-5,4-4,5-3,6-2)
Verified19Ways to roll a 9: 4 (3-6,4-5,5-4,6-3)
Directional20Ways to roll a 10: 3 (4-6,5-5,6-4)
Single source21Ways to roll an 11: 2 (5-6,6-5)
Verified22Ways to roll a 12: 1 (6-6)
Verified23Hard ways for 4: 1 (2-2)
Verified24Hard ways for 6: 1 (3-3)
Directional25Hard ways for 8: 1 (4-4)
Single source26Hard ways for 10: 1 (5-5)
Verified27Total possible dice outcomes: 36
Verified28Even sums more likely than odd except 7
Verified29Average roll total: 7
Directional30Variance of single roll: 29/6 ≈4.833
Single source31Probability of double on hardway rolls varies 2.78% for 2/12
Verified32Craps numbers (2,3,12) total 4 ways out of 36
Verified33Natural numbers (7,11) total 8 ways out of 36
Verified34Point numbers total 24 ways out of 36 on come-out
Directional35Pass Line resolves on come-out 33.33% of time
Single source36Pass Line goes to point 66.67% of time
VerifiedDice 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
1Game uses two standard six-sided dice
Verified2Come-out roll establishes point or resolves Pass
Verified3Point must repeat before 7 to win Pass Line
Verified47 on point is seven-out, ends shooter's turn
Directional5Odds bets have zero house edge, best bet
Single source6Don't Pass wins on 2 or 3 come-out, pushes 12
Verified7Place bets working unless off
Verified8Proposition bets one-roll only
Verified9Field bet wins on 2,3,4,9,10,11,12
Directional10Average number of rolls per shooter: 8.5
Single source11Iron Cross strategy covers most numbers
Verified123-Point Molly reduces house edge to 0%
Verified13Crapless Craps increases house edge
Verified14Buy bets require vig upfront or win
Directional15Lay bets pay vig on win
Single source16Come bets act like Pass after point
Verified17Shooter must bet Pass or Don't to shoot
Verified18Table minimums often $5-$25 for Pass
Verified19Odds multiples up to 100x in some casinos
DirectionalGame 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
1House edge on Pass Line bet is 1.41%
Verified2House edge on Don't Pass bet is 1.36%
Verified3House edge on Come bet is 1.41%
Verified4House edge on Don't Come bet is 1.36%
Directional5House edge on Pass Line with 3-4-5x odds is 0.37%
Single source6House edge on Place 6 or 8 bet is 1.52%
Verified7House edge on Place 5 or 9 bet is 4.00%
Verified8House edge on Place 4 or 10 bet is 6.67%
Verified9House edge on Buy 4 or 10 (5% vig) is 4.76%
Directional10House edge on Lay 4 or 10 ($5 vig) is 2.44%
Single source11House edge on Big 6 bet is 9.09%
Verified12House edge on Big 8 bet is 9.09%
Verified13House edge on Hard 6 bet is 9.09%
Verified14House edge on Hard 8 bet is 9.09%
Directional15House edge on Hard 4 bet is 11.11%
Single source16House edge on Hard 10 bet is 11.11%
Verified17House edge on Any 7 bet is 16.67%
Verified18House edge on Any Craps bet is 11.11%
Verified19House edge on Yo 11 bet is 11.11%
Directional20House edge on Horn bet is 12.50%
Single source21House edge on Field bet (2:1 on 12) is 5.56%
Verified22House edge on Crapless Craps Pass Line is 5.38%
Verified23House edge on Proposition 2 bet is 35.14%
Verified24House edge on Proposition 3 bet is 15.28%
Directional25House edge on Proposition 12 bet is 34.72%
Single source26House edge on Hi-Lo Yo bet is 11.11%
Verified27House edge on Don't Pass with 3-4-5x odds is 0.27%
Verified28House edge on Place 6 with odds is 0.46%
Verified29House edge on Field bet (3:1 on 12) is 2.78%
DirectionalHouse 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
1Pass Line pays 1 to 1
Verified2Don't Pass pays 1 to 1
Verified3Odds bet on 4 or 10 pays 2 to 1
Verified4Odds bet on 5 or 9 pays 3 to 2
Directional5Odds bet on 6 or 8 pays 6 to 5
Single source6Place 6 or 8 pays 7 to 6
Verified7Place 5 or 9 pays 7 to 5
Verified8Place 4 or 10 pays 9 to 5
Verified9Buy 4 or 10 pays true odds minus vig
Directional10Field bet pays 1 to 1 (2:1 on 2, 3:1 on 12 variant)
Single source11Any 7 pays 4 to 1
Verified12Any Craps pays 7 to 1
Verified13Yo 11 pays 15 to 1
Verified14Horn pays 27 to 3 on 2/12, 15 to 1 on 3/11
Directional15Hard 6 pays 9 to 1
Single source16Hard 8 pays 9 to 1
Verified17Hard 4 pays 7 to 1
Verified18Hard 10 pays 9 to 1
Verified19Big 6 pays 1 to 1
Directional20Proposition 2 pays 30 to 1
Single source21Proposition 3 pays 15 to 1
Verified22Proposition 11 pays 15 to 1
Verified23Proposition 12 pays 30 to 1
Verified24True odds against 4 or 10 are 2 to 1
Directional25True odds against 5 or 9 are 3 to 2
Single source26True odds against 6 or 8 are 6 to 5
Verified27Hi-Lo pays 15 to 1 on 2 or 12
Verified28C&E pays 3 to 1 on craps, 7 to 1 on 11
VerifiedPayout 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
1Probability of winning Pass Line bet is 49.29%
Verified2Probability of losing Pass Line bet is 47.93%
Verified3Probability of Pass Line push is 2.78%
Verified4Probability of winning Don't Pass bet is 49.93%
Directional5Probability of rolling 7 on come-out is 22.22%
Single source6Probability of craps on come-out (2,3,12) is 11.11%
Verified7Probability of point on come-out is 66.67%
Verified8Probability of making 4 before 7 is 33.33%
Verified9Probability of making 5 before 7 is 40.00%
Directional10Probability of making 6 before 7 is 45.45%
Single source11Probability of making 8 before 7 is 45.45%
Verified12Probability of making 9 before 7 is 40.00%
Verified13Probability of making 10 before 7 is 33.33%
Verified14Probability of 7-out after point is 33.33% for point 4/10
Directional15Expected rolls per Pass decision is 3.38
Single source16Probability of rolling 7 anytime is 16.67%
Verified17Probability of natural 7 or 11 on come-out is 22.22%
Verified18Probability of shooting a seven after 4 is 54.55%
Verified19Probability of winning Place 6 bet is 45.45%
Directional20Probability of Any Craps is 11.11%
Single source21Probability of Yo 11 is 2.78%
Verified22Probability of Horn combo winning is 11.11%
Verified23Probability of Field winning is 44.44%
Verified24Probability of 2 or 12 on Field is 5.56%
Directional25Probability of sevens after point 6/8 is 45.45% for 7
Single source26Probability of Pass Line win on come-out is 22.22%
Verified27Probability of Don't Pass win on come-out is 2.78%
Verified28Probability of point 4 or 10 established is 13.89%
Verified29Probability of point 5 or 9 established is 22.22%
Directional30Probability of point 6 or 8 established is 31.11%
Single sourceProbability 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