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HomeCalculatorsInteractive Dice Roller

Interactive Dice Roller

Roll TTRPG dice with custom formulas like 2d6+4 or 4d6kh3. View real-time roll statistics, history log, and interactive probability distribution graphs.

Dice Input

Format: NdS, NdSkhK (keep highest), NdSklK (keep lowest), NdSdhK (drop highest), NdSdlK (drop lowest). Add modifiers using + or -.

Virtual Rolled Result

Formula rolled2d6+4
Click "Roll Dice" to simulate a real roll
Minimum Sum6
Maximum Sum16
Expected Value11
Std Deviation2.42

Probability Distribution Curve

Sum: 6 Probability: 2.63%Sum: 7 Probability: 5.69%Sum: 8 Probability: 8.81%Sum: 9 Probability: 10.89%Sum: 10 Probability: 13.80%Sum: 11 Probability: 16.04%Sum: 12 Probability: 13.95%Sum: 13 Probability: 11.31%Sum: 14 Probability: 8.48%Sum: 15 Probability: 5.71%Sum: 16 Probability: 2.69%616Sum value range
Roll History Logs
No roll logs recorded yet.

Understanding Interactive Dice Mechanics & Sizing

Roll TTRPG dice with custom formulas like 2d6+4 or 4d6kh3. View real-time roll statistics, history log, and interactive probability distribution graphs.

Why Dice Modeling Matters

  • TTRPG Players & DMs: Speeds up gameplay during sessions of Dungeons & Dragons, Pathfinder, or Warhammer by rolling massive pools instantly.
  • Game Balance Designers: Allows designers to check the probability curves of different weapon damage formulas or success-check systems.
  • Probability Classrooms: Visually demonstrates the Central Limit Theorem: as the number of rolled dice ($N$) increases, the distribution curve shifts from flat-uniform to a bell-shaped normal curve.

Instant Calculations Running Locally

CanvaTools utilities operate on a privacy-first standard. All formulas, values, and calculations are computed completely client-side inside your browser, ensuring absolute data security and performance without network requests.

Frequently Asked Questions

What does '4d6kh3' mean in dice rolling?

This means you roll four 6-sided dice and keep the highest 3 results, dropping the lowest one. This is the standard method for generating ability scores in Dungeons & Dragons.

How does this calculator build the probability distribution?

For basic dice pools, it computes exact analytical outcomes using combinations. For complex pools containing drop or keep modifiers, it runs 10,000+ random rolls in the background to build an accurate empirical distribution graph.

كيف يمكنني محاكاة الرمي بميزة أو عيب (Advantage / Disadvantage)؟

لمحاكاة ميزة الرمي (Advantage)، استخدم صيغة '2d20kh1' (رمي حجري نرد 20، والاحتفاظ بالأعلى). ولمحاكاة عيب الرمي (Disadvantage)، استخدم صيغة '2d20kl1' (الاحتفاظ بالأدنى).

Can this roll custom dice formulas?

Yes. Supports TTRPG formulas like 2d6+4, 4d6kh3, with statistics tracking.