Calculate the average, minimum, and maximum rolls for RPG dice notation.
Dice Notation
Supported format: AdX +/- B (e.g. 2d6, 1d20+5, 3d8-2)
Roll Statistics
Average Roll11Expected Value
Standard Deviation2.42
Minimum6
Maximum16
Range: [6, 16]
About this calculator
Overview
This calculator analyzes standard RPG dice notation (AdX + B) to determine statistical properties like the average roll, range, and standard deviation.
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Pro Tips
Use standard notation: 'A'd'X' + 'B'. A=number of dice, X=sides, B=modifier.
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Fun Facts
"The average roll of a single d6 is 3.5, not 3."
"As you add more dice (e.g. 3d6 vs 1d20), the results cluster more centrally, forming a bell curve."