D4 Roller
Roll a virtual d4 — a tetrahedron — a four-sided pyramid with triangular faces. Every face lands with an equal 1-in-4 probability and an average roll of 2.5, generated with cryptographic randomness in your browser. The d4 is the smallest standard polyhedral die and the only one you cannot read from the top face: it lands on a face, so the result is the number at the upward point (some d4s print it at the base corners instead). Gamers joke that dropped d4s are caltrops, because stepping on one barefoot is genuinely painful.
D4 Roller reference last updated · reference source
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Dated static reference; no live data is fetched. Verify current source values and assumptions before relying on results.
What this tool does
Roll a virtual d4 — a tetrahedron — a four-sided pyramid with triangular faces. Every face lands with an equal 1-in-4 probability and an average roll of 2.5, generated with cryptographic randomness in your browser. The d4 is the smallest standard polyhedral die and the only one you cannot read from the top face: it lands on a face, so the result is the number at the upward point (some d4s print it at the base corners instead). Gamers joke that dropped d4s are caltrops, because stepping on one barefoot is genuinely painful.
How to use the D4 Roller
- Check Sides per die: 4.
- Check Dice count: 1.
- Review the D4 Roller result and its exact-value comparison table.
- Verify assumptions before applying the result.
Formula
each die is a uniform integer from 1 through sides, using Web Crypto
- sides
- Sides per die
- count
- Dice count
Independent virtual dice. Generate again to reroll.
Worked example
D4 Roller: Sides per die = 4; Dice count = 1. Roll a virtual d4 — a tetrahedron — a four-sided pyramid with triangular faces. Every face lands with an equal 1-in-4 probability and an average roll of 2.5, generated with cryptographic randomness in your browser. The d4 is the smallest standard polyhedral die and the only one you cannot read from the top face: it lands on a face, so the result is the number at the upward point (some d4s print it at the base corners instead). Gamers joke that dropped d4s are caltrops, because stepping on one barefoot is genuinely painful.
Inputs
- Sides per die4
- Dice count1
Result
- Total3
- Rolls3
- Expected total (average over many rolls)2.5
- Minimum possible total1
- Maximum possible total4
- Chance of the maximum total25%
- Chance each single die shows its top face25%
D4 quick odds
| Question | Answer |
|---|---|
| Average roll | 2.5 |
| Chance of any single face | 1 in 4 (25%) |
| Chance of rolling the maximum (4) | 1 in 4 |
| Chance of rolling above the average (over 2.5) | 2 in 4 (50%) |
| Faces | 4 |
Results explained
- Total
- The sum of the independent d4 rolls shown, each a uniform integer from 1 to 4.
- Rolls
- The individual die results in the order rolled.
- Expected total (average over many rolls)
- Dice count × 2.5, the theoretical average for a d4.
- Chance of the maximum total
- The probability that every die in the roll shows 4 at once: (1/4)^count.
Frequently asked questions
In Dungeons & Dragons the d4 rolls damage for daggers, darts and the Magic Missile spell, and hit points for no class — it is the game's designated 'small damage' die. Tabletop war games and the classic board game Sorry! variants also reach for it when an effect needs a tight 1–4 spread.
(4 + 1) ÷ 2 = 2.5. Every face from 1 to 4 is equally likely, so the long-run average sits exactly halfway between the minimum and maximum.
Exactly 1 in 4, or 25%, on a single die. With two dice both showing 4 the chance drops to 1 in 16 (6.25%).
Yes. Rolls come from the Web Crypto API with rejection sampling, so no face is favoured by modulo bias, and nothing is weighted, seeded from the clock or influenced by previous rolls.
A d4 has the widest relative spread of any standard die: its average roll of 2.5 is only 62.5% of its maximum, and every face carries a full 25% chance.
Yes — raise the dice count (gamers write that as 2d4, 3d4 and so on). Totals then follow a bell curve centred on 2.5 per die: extremes get rarer as you add dice, which is why multi-dice rolls feel more predictable than a single big die.