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Dice · Distribution · Analysis

Dice · Distribution · Analysis. Inputs: Dice, Sides per die. Enter your values and run. Try the example to learn the format, then copy or save the result.

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How to use

  1. 1Inputs: Dice, Sides per die.
  2. 2Run the tool and review the result.
  3. 3Copy the result or change inputs to compare.

Good to know

Calculated from your inputs. Check units and assumptions against actual conditions.

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Worked input and output example

These results come from this tool’s actual engine using the sample values below, not your personal input or saved work. Load the example in the tool to inspect the same inputs.

Example input

FieldValue
Dice
3
Sides per die
6

Example result

Sum	Probability (%)
3	0.462962962963
4	1.38888888889
5	2.77777777778
6	4.62962962963
7	6.94444444444
8	9.72222222222
9	11.5740740741
10	12.5
11	12.5
12	11.5740740741
13	9.72222222222
14	6.94444444444
15	4.62962962963
16	2.77777777778
17	1.38888888889
18	0.462962962963

How this tool calculates

Exact independent fair-dice convolution
Input constraints

These are the actual input validation limits; they are not a guarantee that every accepted value is realistic or that a model applies to your situation.

  • Dice: Accepted range: 1 ≤ x ≤ 20 · Whole numbers only
  • Sides per die: Accepted range: 2 ≤ x ≤ 100 · Whole numbers only

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