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Calcimator

Dice Probability Calculator

Calculate probability distributions, averages, and target number odds for any dice combination.

Inputs

Results

Probability (≥ Target)

16.67%

Average Roll7
Minimum Result2
Maximum Result12
Standard Deviation2.42
Probability (< Target)83.33%
How to Use This Calculator
  1. Select the dice type (d4, d6, d8, d10, d12, d20) and the number of dice.
  2. Set any modifier added to the roll and a target number to beat.
  3. Enter whether you roll with advantage (highest of 2) or disadvantage (lowest of 2).
  4. Review the Probability of Success, Mean Roll, and Standard Deviation.
  5. Use the Probability Distribution chart to visualize likely outcomes before critical decisions.

How the result changes with Sides per Die

Sides per DieProbability (≥ Target)
1275%
3696.7%
6698.28%
9098.63%

What each input means

Number of Dice
How many dice to roll (e.g. 2 for 2d6).
Sides per Die
Common: d4, d6, d8, d10, d12, d20, d100.
Modifier
Flat bonus or penalty added to the roll total.
Target Number
The number you need to meet or exceed (e.g. AC, DC).

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    4 parameters
    Number of Dice = 2, Sides per Die = 6, Modifier = 0, Target Number = 10 = 4 input(s) provided
  2. Calculate Probability
    Probability
    16.67 = 16.67
  3. Calculate Average Roll
    Average Roll
    7 = 7
  4. Calculate Minimum Result
    Minimum Result
    2 = 2

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