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Dice Roller

Simulate one or more dice with configurable side counts and show each roll, total, and expected average.

Dice Inputs

Use 4, 6, 8, 10, 12, or 20 for common tabletop dice, or enter another side count.

Results computed instantly — your data never leaves your device.

Dice Results

Real-Time

Rolls

1, 6

Total

7

Dice

2 × d6

Expected average

7.00

100% Client-SidePrivate & Secure

How to Use the Dice Roller

  1. 1

    Enter how many dice to simulate.

  2. 2

    Set the number of sides on each die.

  3. 3

    Roll the dice to generate one result per die.

  4. 4

    Review the individual rolls, total, and expected average.

Formula & Mathematical Basis

Each roll = 1 + floor(u × s); expected total = n × (s + 1) ÷ 2.

Variable Key

n

Number of dice

s

Sides per die

u

Uniform pseudorandom unit value

📝 This is a digital simulation. It does not reproduce the physical bias or randomness of a real die.

Step-by-Step Examples

1

Simulate three six-sided dice

Scenario: Use three dice with six sides each.

  1. 1.Set number of dice to three.
  2. 2.Set sides to six.
  3. 3.Roll the simulation.
  4. 4.Add the three displayed face values.
The total is an integer from 3 through 18, with an expected average of 10.5 over many independent rolls.

Practical Use Cases

  • Run a tabletop-game dice simulation.
  • Demonstrate discrete uniform outcomes.
  • Compare totals from different side counts.

Common Pitfalls

  • Confusing the expected average with a guaranteed result.
  • Using too few rolls to infer fairness.
  • Treating a software simulation as cryptographic randomness.

Frequently Asked Questions

Can I simulate a d20?

Yes. Set the side count to 20.

Is every total equally likely?

No. Individual faces are uniform, but sums of multiple dice have different probabilities.

Is this suitable for security decisions?

No. It is a game and teaching simulation, not a cryptographic source.

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