How does the Dice Roller work?

Rolling 1 die: each face has 1/n probability Then: Rolling multiple dice: sum follows a bell curve (central limit theorem) Then: Notation: 2d6 = roll two 6-sided dice and sum them Then: Average of nd6 = n × 3.5 (average of one d6).

Can you give an example of how to use the Dice Roller?

Example: Input 2d6 roll gives a result of Random result between 2–12, e.g. 4 + 3 = 7.

Is the Dice Roller free to use?

Yes — completely free with no registration, download, or subscription required. All calculations happen instantly in your browser.

How accurate is the Dice Roller?

Our Dice Roller uses verified mathematical formulas and is accurate to multiple decimal places. Results are calculated in real-time using the same methods used by professionals.

Practic

Dice Roller

Number of dice

Sides

A dice roller simulates rolling one or more dice with any number of sides — standard d6, or polyhedral dice (d4, d8, d10, d12, d20, d100) used in tabletop RPGs. Results follow a uniform distribution (equally likely outcomes) for a single die.

Die	Sides	Range	Average	Common use
d4	4	1–4	2.5	Damage (small weapons)
d6	6	1–6	3.5	Most common die
d8	8	1–8	4.5	Longsword damage
d10	10	1–10	5.5	Percentile (with d%)
d12	12	1–12	6.5	Great axe damage
d20	20	1–20	10.5	D&D attack rolls
d100	100	1–100	50.5	Percentile rolls

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Pro Tip

For probability: P(rolling at least N on a d20) = (20 − N + 1) / 20. Rolling a 15 or higher: (20−15+1)/20 = 6/20 = 30% chance.

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Did You Know?

The d20 is one of the oldest gaming implements — icosahedral (20-sided) dice carved from serpentine stone have been found in Egypt dating to 304–30 BCE. Dungeons & Dragons popularized the d20 system in 1974.

References

›Dice — Wikipedia

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