Craps Odds & Probabilities
All crap games are played with two six sided dice. The odds of rolling a particular combination never change so it's easy to find out the probability of any outcome occurring. The table below shows the odds of rolling any of the 36 possible totals and the ways they can be rolled.
| Total |
Ways |
Combinations |
Odds |
Probability |
| 2 |
1 |
1-1 |
1 in 36 |
2.78% |
| 3 |
2 |
1-2, 2-1 |
1 in 18 |
5.56% |
| 4 |
3 |
1-3, 2-2, 3-1 |
1 in 12 |
8.33% |
| 5 |
4 |
1-4, 2-3, 3-2, 4-1 |
1 in 9 |
11.11% |
| 6 |
5 |
1-5, 2-4, 3-3, 4-2, 5-1 |
1 in 7.2 |
13.89% |
| 7 |
6 |
1-6, 2-5, 3-4, 4-3, 5-2, 6-1 |
1 in 6 |
16.67% |
| 8 |
5 |
2-6, 3-5, 4-4, 5-3, 6-2 |
1 in 7.2 |
13.89% |
| 9 |
4 |
3-6, 4-5, 5-4, 6-3 |
1 in 9 |
11.11% |
| 10 |
3 |
4-6, 5-5, 6-4 |
1 in 12 |
8.33% |
| 11 |
2 |
5-6, 6-5 |
1 in 18 |
5.56% |
| 12 |
1 |
6-6 |
1 in 36 |
2.78% |
As you can see from the table the rolls with the least likely outcome are the 2 and 12 as there is only one way to roll them. This is true for all of the Hard Way rolls as there is only one possible roll that wins so each Hard Way roll has odds of 1 in 36 of occurring.
Probability Information
Odds and probabilities are quite often misunderstood by players. The odds are exactly the same of every roll of the dice and do not change based on past outcomes. This is important as some players will bet on an outcome simply because it has not been rolled in the previous rolls.
So for example while the odds of rolling Snake Eyes (1 and 1) are 1 in 36 this does not means that in 36 rolls you will get one win. You might get five or you might get none. Statistically over thousands of rolls the outcomes will come to the figures above but in an individual game session the results can and will vary widely. |
