Roll a d3
A 1d3 roll gives a result of 1, 2 or 3, each with an equal 33.33% (1 in 3) chance, and the average roll is 2. Physical d3s are rare, so the usual method is to roll a d6, divide by two and round up: 1-2 is 1, 3-4 is 2, and 5-6 is 3. Press Roll below to roll.
Press Roll to roll.
d3 odds and average
Minimum 1, maximum 3, average 2. Every face has a 33.33% chance on a fair die.
| Roll | Chance of exactly this | Chance of this or higher |
|---|---|---|
| 1 | 33.33% | 100% |
| 2 | 33.33% | 66.67% |
| 3 | 33.33% | 33.33% |
How to roll a d3 and where you use one
Roll a d3 with a d6: Roll a d6, halve the result and round up. A 1 or 2 becomes 1, a 3 or 4 becomes 2, and a 5 or 6 becomes 3. Each d3 result covers exactly two faces of the d6, so the odds stay fair. You can also count 1–2, 3–4 and 5–6 on a d6 in your head without any math.
Random tables and choices: A d3 is handy whenever there are three options: which of three corridors a patrol takes, which of three rumors an innkeeper shares, or how many extra guards show up (1d3). Adventure writers often use 1d3 for small counts, like the number of rounds an effect lasts or the number of creatures in a group.
Older and variant rules: Earlier editions of D&D used 1d3 for things like a Medium creature's unarmed strike in 3rd edition. In 5e, an unarmed strike usually deals a flat 1 plus your Strength modifier instead, but DMs who want a little variance sometimes house-rule 1d3. You can combine several d3s too: 2d3 ranges from 2 to 6.
Roll a d3 FAQ
How do you roll a d3 with a d6?
Roll a d6, divide the result by 2 and round up. 1-2 counts as 1, 3-4 counts as 2, and 5-6 counts as 3, so every result has the same 1 in 3 chance.
What is the average of 1d3?
The average of 1d3 is 2, because (1 + 2 + 3) / 3 = 2. Two d3s (2d3) average 4.
Do d3 dice exist?
Yes. Some are rounded triangular prisms and others are d6s numbered 1, 1, 2, 2, 3, 3. Most players simply roll a regular d6 and halve it.
What are the odds of rolling a 3 on a d3?
Each result on a fair d3 has a 33.33% (1 in 3) chance. Rolling a 2 or higher is a 66.67% chance.
Related
Other dice
- 3D Dice Roller
- Roll a d2
- Roll a d4
- Roll a d6
- Roll a d8
- Roll a d10
- Roll a d12
- Roll a d20
- Roll a d100
- Roll a d1000
About this roller
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Contains content from the System Reference Document 5.1 and 5.2 by Wizards of the Coast LLC, used under the Creative Commons Attribution 4.0 International License.