Table of Contents
Custom Dice Rolling
A custom dice roller simulates rolling any combination of dice with any number of sides. Standard sets include d4, d6, d8, d10, d12, and d20, but custom rollers extend to any number. This flexibility is essential for tabletop RPGs, board game design, and statistical simulations.
Each roll generates a uniformly random integer between 1 and the number of sides. Multiple dice and modifiers combine to simulate real gaming scenarios. The probability distribution shifts from uniform (single die) to approximately normal (many dice) per the Central Limit Theorem.
Dice Notation
| Notation | Meaning | Range |
|---|---|---|
| 2d6 | Two six-sided dice | 2-12 |
| 1d20+5 | One d20 plus 5 | 6-25 |
| 3d8-2 | Three d8 minus 2 | 1-22 |
Probability
For a single die, each face has equal probability 1/S. With multiple dice, the sum follows a bell curve centered at the expected value.
Common Uses
- Tabletop RPGs for attacks, damage, and ability checks
- Board game prototyping and balance testing
- Monte Carlo probability simulations
- Random decision-making tools
Frequently Asked Questions
Are digital rolls truly random?
They use pseudorandom number generators, which are effectively random for gaming. For cryptographic purposes, use a cryptographically secure random source instead.
What is the most common 2d6 result?
7 is most common, achievable with 6 combinations out of 36 (16.7%). Results 2 and 12 are rarest at 2.8% each.
Can I roll odd-sided dice?
Yes. Digital rollers simulate any number of sides perfectly. Physical odd-sided dice are rare but the math works identically.