Dice Roller Calculator
Calculate Dice Statistics
Formula
Min = N, Max = N x S, Average = N x (S+1)/2, Total Outcomes = S^N. Probability of specific sum uses the inclusion-exclusion principle.
Frequently Asked Questions
How is the average dice roll calculated?
The average (expected value) for rolling N dice with S sides each is N x (S + 1) / 2. For example, the average of 2d6 is 2 x 3.5 = 7.
How is the probability of a specific sum calculated?
The probability uses an inclusion-exclusion formula to count the number of ways to achieve the target sum, then divides by the total number of outcomes (sides^dice).
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