Exact probability model
Dice Probability Calculator
Calculate exact odds for a sum or threshold across every possible outcome.
Exact browser calculation limit: 1-20 dice.
Possible total range: 2-12
Condition
Probability
16.6667%
2d6 = 7
Odds
5:1
Expected value
7
Favorable
6
Outcomes
36
2
3
4
5
6
7
8
9
10
11
12
Distribution table
Every possible sum
Exact counts and probability per total.
| Sum | Outcomes | Probability | Chart |
|---|---|---|---|
| 2 | 1 | 2.7778% | |
| 3 | 2 | 5.5556% | |
| 4 | 3 | 8.3333% | |
| 5 | 4 | 11.1111% | |
| 6 | 5 | 13.8889% | |
| 7 | 6 | 16.6667% | |
| 8 | 5 | 13.8889% | |
| 9 | 4 | 11.1111% | |
| 10 | 3 | 8.3333% | |
| 11 | 2 | 5.5556% | |
| 12 | 1 | 2.7778% |