A dice roller for whenever the physical dice have gone missing — under the sofa, in another game’s box, or never owned in the first place. Choose how many dice and how many sides, roll, and see every die plus the total. It covers standard six-sided dice and the full polyhedral set (d4, d6, d8, d10, d12, d20) used in tabletop RPGs.
Dice Roller: step-by-step worked example
- Number of dice
- 2
- Sides per die
- 6
- 1
Possible combinations
Combinations = sides ^ dice
6^2 = 36
- 2
Lowest and highest total
Min = dice · Max = dice × sides
2 × 1 … 2 × 6 = 2 – 12
- 3
Average of one die
Mean = (1 + sides) ÷ 2
(1 + 6) ÷ 2 = 3.5
- 4
Expected total
E = dice × mean
2 × 3.5 = 7
- 5
Most likely total
P = ways to make that total ÷ combinations
7: 6 ÷ 36 = 16.67% = 7
- Probability:2.7778% → 2.7778%
Good to know: Each face of one die is equally likely, but totals are not: with two d6, 7 comes up 6 ways (16.7 %) while 2 and 12 come up only one way each (2.8 %). More dice push the curve towards a bell shape.
Dice Roller — how it works
Dice notation
Tabletop games describe rolls as *NdS* — N dice of S sides. “2d6” means roll two six-sided dice and add them; “1d20” is a single twenty-sided die. Set N and S here and the tool rolls them all at once, showing each face and the sum.
Each die is independent and fair
Every die is an equal-chance draw across its faces, rolled separately. With one die the outcomes are flat — each face equally likely. Add dice together and the totals bunch toward the middle:
| Roll | Most likely total |
|---|---|
| 1d6 | all equal (1–6) |
| 2d6 | 7 |
| 3d6 | 10–11 |
That’s why 2d6 centres on 7: there are more ways to make 7 than to make 2 or 12.
Uses
- Replacing lost dice for board games
- Tabletop RPGs (D&D and others) needing d20, d8, d4…
- Random selection and classroom probability
Worked example
Roll 2d6 and you might get a 4 and a 5 for a total of 9. Over many rolls, 7 comes up most often because six different face combinations make it (1-6, 2-5, 3-4 and their mirrors), while only one combination makes 2 (1-1) or 12 (6-6). A single d20, by contrast, is flat — every number from 1 to 20 is equally likely, which is why it’s used for one-off checks in RPGs.
Frequently asked questions
What dice can I roll?+
From one to twenty dice at a time, in the standard polyhedral sizes: d4, d6, d8, d10, d12 and d20. Set the count and the type, and every die is rolled and shown along with the combined total.
What does “2d6” mean?+
It’s dice notation: 2 dice of 6 sides each, rolled and added together. The number before the “d” is how many dice, the number after is how many sides. So 3d8 is three eight-sided dice summed.
Are the rolls fair?+
Yes — each die is an independent, equal-chance draw across its faces. There’s no bias and no dependence on previous rolls, just like fair physical dice.
Why does the total of two dice favour the middle?+
Because more face combinations produce middle totals. With 2d6 there are six ways to roll a 7 but only one way to roll a 2 or a 12, so 7 is six times more likely. Single dice, by contrast, are perfectly flat.
Can I use it for Dungeons & Dragons?+
Yes — it supports the full d4–d20 set that tabletop RPGs use, and lets you roll multiple dice at once for damage or ability rolls. It’s a drop-in replacement when your physical dice aren’t to hand.
About this page
- Publisher:
- Kalkoro — Teknolojig Bilişim Teknolojileri A.Ş., İstanbul
- Written by:
- Ahmet Tur — Editor (Math, date & time, unit conversion, physics & chemistry, everyday tools)
- Reviewed by:
- Kübra Yıldız — Editor
Parameters come from official sources; the last update date is shown at the bottom of the page.
Spotted a wrong result? Use the "Report a bug" button at the top of the page; every report is reviewed.
How we calculate and our accuracy policy →
Results are for information only. For official matters the relevant authority's calculation prevails.
Last updated: