Dice Sum Probability Calculator Guide
The Dice Sum Probability Calculator finds the exact probability of rolling a specific total from any combination of dice. It supports standard d6 plus TRPG favorites like d4, d8, d10, d12, d20, and d100, with up to 30 dice and 100 sides per die.
The math uses dynamic programming to count the exact number of ordered dice combinations that produce the target sum. For example, two d6 produce 7 in six ways — (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) — out of 36 total outcomes, giving 6/36 = 16.67%, the most common sum.
The tool also reports the possible sum range and the expected (average) sum, so you can quickly grasp the distribution shape. Use it for TRPG character planning, board game strategy, and probability learning.
Frequently Asked Questions
Dynamic programming counts the exact ways to reach the target, divided by total outcomes (sides^dice).
6/36 = 16.67% — the most common sum with two six-sided dice.
Analyze damage roll distributions (3d6, 2d10) to plan strategy and balance encounters.