With two dice and 36 equally likely outcomes, the 7 lands 16.67% of the time, while a 2 shows up just 2.78%. On the come out, that same 7 tension plays out with craps on 2, 3, and 12 at 11.11% and points sticking 66.67% of the time. Once you see how those odds ripple into Pass Line and odds bets, the rest of the board starts to make a lot more sense.
Key Takeaways
- 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
- 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%
- 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 winning Pass Line bet is 49.29%
- Probability of losing Pass Line bet is 47.93%
- Probability of Pass Line push is 2.78%
On average sevens drive outcomes, with 7 rolling 16.67% and the Pass Line winning about 49%.
Related reading
01 · Category
Dice Roll Statistics30 stats
01
Probability of rolling a 2 is 2.78% (1/36 ways)
02
Probability of rolling a 3 is 5.56% (2/36 ways)
03
Probability of rolling a 4 is 8.33% (3/36 ways)
04
Probability of rolling a 5 is 11.11% (4/36 ways)
05
Probability of rolling a 6 is 13.89% (5/36 ways)
06
Probability of rolling a 7 is 16.67% (6/36 ways)
07
Probability of rolling an 8 is 13.89% (5/36 ways)
08
Probability of rolling a 9 is 11.11% (4/36 ways)
09
Probability of rolling a 10 is 8.33% (3/36 ways)
10
Probability of rolling an 11 is 5.56% (2/36 ways)
11
Probability of rolling a 12 is 2.78% (1/36 ways)
12
Ways to roll a 2: 1 (1-1)
13
Ways to roll a 3: 2 (1-2,2-1)
14
Ways to roll a 4: 3 (1-3,2-2,3-1)
15
Ways to roll a 5: 4 (1-4,2-3,3-2,4-1)
16
Ways to roll a 6: 5 (1-5,2-4,3-3,4-2,5-1)
17
Ways to roll a 7: 6 (1-6,2-5,3-4,4-3,5-2,6-1)
18
Ways to roll an 8: 5 (2-6,3-5,4-4,5-3,6-2)
19
Ways to roll a 9: 4 (3-6,4-5,5-4,6-3)
20
Ways to roll a 10: 3 (4-6,5-5,6-4)
21
Ways to roll an 11: 2 (5-6,6-5)
22
Ways to roll a 12: 1 (6-6)
23
Hard ways for 4: 1 (2-2)
24
Hard ways for 6: 1 (3-3)
25
Hard ways for 8: 1 (4-4)
26
Hard ways for 10: 1 (5-5)
27
Total possible dice outcomes: 36
28
Even sums more likely than odd except 7
29
Average roll total: 7
30
Variance of single roll: 29/6 ≈4.833
Interpretation
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.
02 · Category
Game Rules and Strategy Statistics19 stats
01
Game uses two standard six-sided dice
02
Come-out roll establishes point or resolves Pass
03
Point must repeat before 7 to win Pass Line
04
7 on point is seven-out, ends shooter's turn
05
Odds bets have zero house edge, best bet
06
Don't Pass wins on 2 or 3 come-out, pushes 12
07
Place bets working unless off
08
Proposition bets one-roll only
09
Field bet wins on 2,3,4,9,10,11,12
10
Average number of rolls per shooter: 8.5
11
Iron Cross strategy covers most numbers
12
3-Point Molly reduces house edge to 0%
13
Crapless Craps increases house edge
14
Buy bets require vig upfront or win
15
Lay bets pay vig on win
16
Come bets act like Pass after point
17
Shooter must bet Pass or Don't to shoot
18
Table minimums often $5-$25 for Pass
19
Odds multiples up to 100x in some casinos
Interpretation
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.
03 · Category
House Edge Statistics29 stats
01
House edge on Pass Line bet is 1.41%
02
House edge on Don't Pass bet is 1.36%
03
House edge on Come bet is 1.41%
04
House edge on Don't Come bet is 1.36%
05
House edge on Pass Line with 3-4-5x odds is 0.37%
06
House edge on Place 6 or 8 bet is 1.52%
07
House edge on Place 5 or 9 bet is 4.00%
08
House edge on Place 4 or 10 bet is 6.67%
09
House edge on Buy 4 or 10 (5% vig) is 4.76%
10
House edge on Lay 4 or 10 ($5vig) is 2.44%
11
House edge on Big 6 bet is 9.09%
12
House edge on Big 8 bet is 9.09%
13
House edge on Hard 6 bet is 9.09%
14
House edge on Hard 8 bet is 9.09%
15
House edge on Hard 4 bet is 11.11%
16
House edge on Hard 10 bet is 11.11%
17
House edge on Any 7 bet is 16.67%
18
House edge on Any Craps bet is 11.11%
19
House edge on Yo 11 bet is 11.11%
20
House edge on Horn bet is 12.50%
21
House edge on Field bet (2:1 on 12) is 5.56%
22
House edge on Crapless Craps Pass Line is 5.38%
23
House edge on Proposition 2 bet is 35.14%
24
House edge on Proposition 3 bet is 15.28%
25
House edge on Proposition 12 bet is 34.72%
26
House edge on Hi-Lo Yo bet is 11.11%
27
House edge on Don't Pass with 3-4-5x odds is 0.27%
28
House edge on Place 6 with odds is 0.46%
29
House edge on Field bet (3:1 on 12) is 2.78%
Interpretation
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.
More related reading
04 · Category
Payout and Odds Statistics28 stats
01
Pass Line pays 1 to 1
02
Don't Pass pays 1 to 1
03
Odds bet on 4 or 10 pays 2 to 1
04
Odds bet on 5 or 9 pays 3 to 2
05
Odds bet on 6 or 8 pays 6 to 5
06
Place 6 or 8 pays 7 to 6
07
Place 5 or 9 pays 7 to 5
08
Place 4 or 10 pays 9 to 5
09
Buy 4 or 10 pays true odds minus vig
10
Field bet pays 1 to 1 (2:1 on 2, 3:1 on 12 variant)
11
Any 7 pays 4 to 1
12
Any Craps pays 7 to 1
13
Yo 11 pays 15 to 1
14
Horn pays 27 to 3 on 2/12, 15 to 1 on 3/11
15
Hard 6 pays 9 to 1
16
Hard 8 pays 9 to 1
17
Hard 4 pays 7 to 1
18
Hard 10 pays 9 to 1
19
Big 6 pays 1 to 1
20
Proposition 2 pays 30 to 1
21
Proposition 3 pays 15 to 1
22
Proposition 11 pays 15 to 1
23
Proposition 12 pays 30 to 1
24
True odds against 4 or 10 are 2 to 1
25
True odds against 5 or 9 are 3 to 2
26
True odds against 6 or 8 are 6 to 5
27
Hi-Lo pays 15 to 1 on 2 or 12
28
C&E pays 3 to 1 on craps, 7 to 1 on 11
Interpretation
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.
05 · Category
Probability Statistics30 stats
01
Probability of winning Pass Line bet is 49.29%
02
Probability of losing Pass Line bet is 47.93%
03
Probability of Pass Line push is 2.78%
04
Probability of winning Don't Pass bet is 49.93%
05
Probability of rolling 7 on come-out is 22.22%
06
Probability of craps on come-out (2,3,12) is 11.11%
07
Probability of point on come-out is 66.67%
08
Probability of making 4 before 7 is 33.33%
09
Probability of making 5 before 7 is 40.00%
10
Probability of making 6 before 7 is 45.45%
11
Probability of making 8 before 7 is 45.45%
12
Probability of making 9 before 7 is 40.00%
13
Probability of making 10 before 7 is 33.33%
14
Probability of 7-out after point is 33.33% for point 4/10
15
Expected rolls per Pass decision is 3.38
16
Probability of rolling 7 anytime is 16.67%
17
Probability of natural 7 or 11 on come-out is 22.22%
18
Probability of shooting a seven after 4 is 54.55%
19
Probability of winning Place 6 bet is 45.45%
20
Probability of Any Craps is 11.11%
21
Probability of Yo 11 is 2.78%
22
Probability of Horn combo winning is 11.11%
23
Probability of Field winning is 44.44%
24
Probability of 2 or 12 on Field is 5.56%
25
Probability of sevens after point 6/8 is 45.45% for 7
26
Probability of Pass Line win on come-out is 22.22%
27
Probability of Don't Pass win on come-out is 2.78%
28
Probability of point 4 or 10 established is 13.89%
29
Probability of point 5 or 9 established is 22.22%
30
Probability of point 6 or 8 established is 31.11%
Interpretation
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.
Reference
Cite This Report
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APA
Helena Kowalczyk. (2026, February 13). Craps Statistics. Gitnux. https://gitnux.org/craps-statistics
MLA
Helena Kowalczyk. "Craps Statistics." Gitnux, 13 Feb 2026, https://gitnux.org/craps-statistics.
Chicago
Helena Kowalczyk. 2026. "Craps Statistics." Gitnux. https://gitnux.org/craps-statistics.
Sources & references
7 datasets cited across this report