How a 3-Sided Die (d3) Works
In tabletop gaming, a d3 delivers a fair 1-in-3 chance (33.33% per result) across the numbers 1, 2, and 3. In physical tabletop games like Warhammer, players roll a standard 6-sided die and map rolls 1-2 to 1, 3-4 to 2, and 5-6 to 3.
Our digital d3 roller eliminates manual conversions by directly simulating a 3-sided randomizer with full 3D physics and instant mathematical summaries.
Frequently Asked Questions (Roll d3)
What is a d3 die?
A d3 is a three-sided randomizer with outcomes 1, 2, and 3, each with an exact 33.33% chance. In physical gaming, a d3 is commonly simulated by rolling a standard 6-sided die (d6) and dividing by 2 (rounding up): 1-2 = 1, 3-4 = 2, 5-6 = 3.
What is the average roll of a d3?
The expected mathematical average (mean) of a 1d3 is (1 + 2 + 3) / 3 = 2.0. Rolling 2d3 has an expected average of 4.0 (range 2–6), and 3d3 averages 6.0 (range 3–9).
Where is a d3 used in tabletop gaming?
A d3 is widely used in Warhammer 40k and Age of Sigmar for determining random damage, mortal wounds, and movement distances, as well as in D&D for short unarmed strikes and minor magical hazards.