Dice Roller Roll Dice Online – Fast & Fair
Choose number of dice you want to roll (1-6 dice).
Select dice type D4, D6, D8, D10, D12, or D20.
Click "ROLL DICE" and watch the 3D animation.
Results appear with individual values and total sum.
Roll History
Choose number of dice you want to roll (1-6 dice).
Select dice type D4, D6, D8, D10, D12, or D20.
Click "ROLL DICE" and watch the 3D animation.
Results appear with individual values and total sum.
Our digital dice roller provides cryptographically secure random results, ideal for tabletop games, educational experiments, and fair decision-making. It supports standard dice: d6, d8, d10, d12, and d20, all verified for uniform probability.
Built using the Web Crypto API, each roll is independent and statistically accurate. Whether teaching probability or playing Dungeons & Dragons, this tool guarantees reliable and fair dice simulations.
Understanding Dice Probability and Distribution
Each die represents a discrete uniform distribution, meaning every face has an equal chance of landing. For a d6, each face has a 1/6 probability (~16.67%). For a d20, each face has 1/20 probability (5%).
The expected value (mean) of a die can be calculated as: E(X) = (n+1)/2, where n is the number of faces. For a d6, the mean is 3.5; for a d20, it is 10.5. Over many rolls, results converge to these values.
Standard Deviation by Die Type: A d6 has ~1.71, while a d20 has ~5.77. Higher-sided dice have greater variability, which makes them suitable for high-impact game rolls like critical attacks.
Physical vs. Digital Dice
Physical dice can have bias due to manufacturing imperfections and rolling dynamics. Persi Diaconis (Stanford, 2007) showed that dice may favor the starting face ~51% of the time. Digital dice remove these physical limitations, offering perfect fairness verified statistically.
How the Dice Roller Works
Random Number Generation
The tool uses crypto.getRandomValues() from the Web Crypto API, a cryptographically secure pseudo-random number generator. Values are mapped to the die range, with bias correction applied to ensure uniform distribution.
Select Quantity
Pick 1-6 dice to roll at once. Rolling multiple dice supports mechanics like advantage/disadvantage or damage calculations.
Choose Die Type
Select the die type (d6, d8, d10, d12, or d20). Each die type serves specific game or educational purposes.
Roll the Dice
Click "ROLL" to generate random outcomes. Animations are visual; the results are determined securely before the animation starts.
View Results
Check individual die values and total sum. Roll history records all outcomes for verification or analysis.
Educational and Gaming Applications
Teaching Probability
Observe the Law of Large Numbers by rolling dice hundreds of times. Frequencies converge to theoretical probabilities, demonstrating statistical principles practically.
Binomial Distributions
Multiple dice rolls illustrate binomial probability. The chance of k successes in n trials follows: P(X=k) = C(n,k) × p^k × (1-p)^(n-k).
Expected Value
Calculate expected damage or outcomes in games: 2d6+3 has expected value 2(3.5)+3 = 10. Comparing expected values guides strategic choices.
Independence Testing
Use roll history to test if outcomes are independent. Runs test and autocorrelation confirm no patterns between consecutive rolls.
Privacy & Data Handling
All calculations run in your browser. No data leaves your device, no cookies or analytics track your rolls, ensuring complete privacy for gaming or learning.
FAQ
Usage Guidelines: Suitable for gaming and education. Verified for fairness, but not intended for legal gambling or regulated applications.