Dice Roll Probability Calculator
Calculate the probability of rolling a specific sum with multiple dice.
Supports any number of sides.
Probability
Dice Roll Probability calculates the chance of rolling a target sum with multiple dice.
Total possible outcomes for n dice with s sides: sⁿ
Common dice probabilities (2d6):
- Sum of 7: 16.67% (most likely)
- Sum of 2 or 12: 2.78% each (least likely)
- Sum of 7 or more: 58.33%
Average roll per die: (s + 1) / 2
- d6 average: 3.5
- d20 average: 10.5
This calculator uses dynamic programming to count favorable outcomes for any combination of dice, sides, and target sum.