About the Dice Roller
Whether you're playing a tabletop game that needs unusual dice (like a d20) or just don't have physical dice handy, our Dice Roller simulates rolling any number of dice with any number of sides.
How It Works
The roller generates a random result between 1 and your specified number of sides for each die, repeating for however many dice you're rolling, and sums all results into a total alongside the individual rolls.
Formula & Methodology
Each die roll is an independent uniform random selection from 1 to the number of sides - independent meaning one die's result has no influence on any other die's result, exactly matching how physical dice behave. Summing multiple dice produces a combined total whose probability distribution is no longer uniform (rolling 2d6, for example, makes a 7 far more likely than a 2 or 12), a well-known statistical property of summing multiple independent random values.
Step-by-Step: Calculating It By Hand
- 1Specify the number of sides per die (matching the physical die type you're simulating, like d6 or d20).
- 2Specify how many dice to roll.
- 3Generate an independent random result between 1 and the number of sides for each die.
- 4Sum all individual results for the combined total.
Examples
Standard roll
Rolling 2 six-sided dice produces two random results between 1 and 6 each, plus their combined total - a classic board game roll.
Tabletop RPG dice
Rolling a single 20-sided die (common in tabletop role-playing games) gives a random result between 1 and 20, useful when physical dice aren't available.
Advantages
- Simulates any number of dice with any number of sides, not just standard 6-sided dice
- Shows individual roll results alongside the combined total
- Instant, genuinely random results for any game needing dice
- No physical dice needed - useful for remote or digital gameplay
Common Mistakes
- Using this for high-stakes gambling decisions, which carries obvious real-world risk regardless of the randomness quality
- Not accounting for game-specific dice rules (like rerolling 1s) that this basic roller doesn't apply automatically
- Rolling an unusual number of sides not actually available in physical dice, if physical dice matching matters for the specific game
- Confusing individual roll results with the summed total when reading the output
Edge Cases to Watch For
- Summing multiple dice produces a bell-curve-like distribution, not a flat uniform one - middle totals become more probable than extreme totals as more dice are added.
- A single die roll (like a lone d20 in tabletop gaming) remains perfectly uniform, since there's no summing involved to skew the distribution.
- This basic roller doesn't apply game-specific modifiers or reroll rules (like rerolling 1s) automatically - those need to be applied manually to the raw result.
- This should never be used for real-money gambling decisions, regardless of how genuinely random the underlying simulation is.
Common Use Cases
- Rolling dice for tabletop games, board games, or role-playing games
- Remote or digital gameplay where physical dice aren't available
- Quick random decision-making using a familiar dice format
- Simulating unusual dice (like a d20) not commonly found in standard dice sets