everyday calculator

Dice Roll Simulator

Simulate table-top dice rolls and see the possible range plus average result.

Results

Simulated roll
5.00
Minimum total
2.00
Maximum total
12.00
Average total
7.00

How to use this calculator

  1. Enter how many dice, how many sides per die, and an optional modifier.
  2. We simulate one roll and show the random total.
  3. Min, max, and average totals provide context for the roll spread.

Inputs explained

Number of dice
How many dice to roll (e.g., 2 for 2d6).
Sides per die
Faces on each die (e.g., 6 for d6, 20 for d20).
Modifier
Bonus/penalty added to the roll (can be negative).

How it works

We generate a random integer from 1–sides for each die, sum them, and add any modifier.

Min/max totals show the absolute bounds. Average is dice × (sides + 1)/2 plus the modifier.

Formula

Average = Dice × (Sides + 1) / 2 + Modifier
Min = Dice + Modifier
Max = Dice × Sides + Modifier

When to use it

  • Tabletop RPG checks, damage rolls, or saving throws.
  • Board game or classroom demos of randomness and averages.
  • Testing custom dice or house rules with modifiers.

Tips & cautions

  • Average helps balance homebrew rules; it’s dice × (sides+1)/2 plus modifier.
  • Use realistic dice sizes for your game; large counts are still simulated but uncommon.
  • Modifiers accept negatives for penalties.
  • Single-sample roll; no full probability distribution.
  • Uses Math.random(), not cryptographically secure or for regulated gaming.
  • Assumes fair dice with uniform sides.

Worked examples

2d6 + 1

  • Min = 3
  • Max = 13
  • Average ≈ 8
  • Random roll varies each click.

1d20 skill check

  • Min = 1
  • Max = 20
  • Average = 10.5 (before modifiers).

Deep dive

This dice roll simulator rolls any number of dice with custom sides and modifiers. Enter dice, sides, and a bonus/penalty to get a random roll plus min/max/average totals.

Use it for tabletop RPGs, board games, or probability demos. It’s a single roll with fair dice—use averages for balancing and other tools for regulated randomness.

FAQs

Is the random roll cryptographically secure?
No. It uses Math.random() for simplicity. Use specialist tools for gambling or security-critical randomness.
Can I roll exploding dice?
Not yet. Enter multiple simulations or build a house rule variant; future updates may include advanced options.

Related calculators

Results reset each time you re-run the calculator. For official tournaments use approved dice-rolling methods.