Dice Probability Calculator
Calculate exact probabilities for any dice roll — full distribution chart for d4 through d100.
Range
2–12
Mean
7.0
Std. dev.
2.42
Probability chart
2
2.78%
3
5.56%
4
8.33%
5
11.11%
6
13.89%
7
16.67%
8
13.89%
9
11.11%
10
8.33%
11
5.56%
12
2.78%
Probability query
P(roll
) =
enter a targetHow dice probability works
For multiple dice, the total probability distribution is computed by convolution — adding each die's outcomes step by step. Two d6 dice produce a bell-curve distribution from 2–12, with 7 being the most likely (6 ways out of 36 = 16.7%). The formula for standard deviation of n identical dice each with s sides is √(n × (s²−1)/12).
Useful for tabletop RPGs (D&D, Pathfinder, Warhammer) and board games. For random number generation try Random Number Generator. For shuffling see Lotto Number Generator.
Private & free — this tool runs entirely in your browser.
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