Calculate the probability of rolling a specific sum with two six-sided dice.
Sum Selection
Target Sum7
2 (Snake Eyes)712 (Boxcars)
Outcome Combinations
2
3
4
5
6
7
3
4
5
6
7
8
4
5
6
7
8
9
5
6
7
8
9
10
6
7
8
9
10
11
7
8
9
10
11
12
Probability Analysis
Probability of Sum 716.67%1 in 6.0
Valid Combinations6 / 36
Odds1 in 6.0
Possible Pairs
(1,6)(2,5)(3,4)(4,3)(5,2)(6,1)
About this calculator
Overview
When rolling two standard six-sided dice, there are 36 possible outcomes (6 x 6). The probability of any given sum follows a triangular distribution, with 7 being the most likely result.
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Pro Tips
The sum ranges from 2 (1+1) to 12 (6+6).
Sums closer to 7 have higher probabilities.
The probability of rolling a specific sum 'S' is (6 - |S-7|) / 36.
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Fun Facts
"In a casino, the sum 7 is the most frequent result because it has 6 combinations."
"Craps rules often pivot around the number 7—it's the statistical 'middle' of the dice world."
"The chance of rolling two 6s (Boxcars) is the same as the chance of rolling two 1s (Snake Eyes) — both are exactly 2.78%."
