General
Dice Roller
Roll virtual dice for board games, RPGs, or any other purpose. Select the number and type of dice to roll.
Enter values and click Roll Dice to see results
Related to Dice Roller
The Dice Roller is a virtual dice rolling simulator that uses a cryptographically secure random number generator to simulate rolling physical dice. It supports various types of dice commonly used in tabletop games, role-playing games (RPGs), and board games, including d4, d6, d8, d10, d12, d20, and d100 (percentile dice).
Random Number Generation
The calculator uses JavaScript's Math.random() function to generate random numbers. For each die, it generates a number between 1 and the maximum value of the selected die type. When rolling multiple dice, each die is rolled independently, simulating real-world dice rolling physics.
Statistical Distribution
Each number on a die has an equal probability of being rolled, ensuring fair and unbiased results. For example, when rolling a d6, each number (1-6) has a 1/6 probability of being rolled. This uniform distribution matches the behavior of physical dice.
The dice roller provides three key pieces of information for each roll: individual roll results, the total sum, and the average value. This comprehensive output helps you understand both individual dice outcomes and aggregate results, which is particularly useful for various gaming scenarios.
Individual Rolls
Shows the result of each die rolled, allowing you to see the specific value that each die landed on. This is useful for games that care about individual die results, such as Yahtzee or specific RPG mechanics.
Total Sum
The sum of all dice rolled, which is commonly used for damage calculations in RPGs, movement in board games, or any scenario where the combined value matters.
Average Value
The arithmetic mean of all dice rolled, helping you understand the central tendency of your roll. This can be useful for statistical analysis or understanding the typical outcome of multiple dice rolls.
1. What types of dice can I roll?
You can roll any standard polyhedral dice used in tabletop games: d4, d6, d8, d10, d12, d20, and d100. These cover all common dice types used in most games and RPGs.
2. How many dice can I roll at once?
You can roll between 1 and 100 dice of the same type simultaneously. This limit is set to ensure quick calculations while still accommodating most gaming needs.
3. Are the results truly random?
The dice roller uses JavaScript's random number generation, which provides pseudo-random numbers suitable for gaming purposes. While not truly random in a cryptographic sense, it's more than adequate for simulating dice rolls and provides fair, unbiased results.
4. Can I use this for tabletop RPGs?
Yes! The dice roller supports all standard RPG dice types and can handle multiple dice rolls simultaneously, making it perfect for tabletop RPGs like Dungeons & Dragons, Pathfinder, or any other system using polyhedral dice.
5. What is the scientific source for this calculator?
The dice roller implements uniform random number generation based on the principles of probability theory and discrete uniform distribution. The implementation follows the standard algorithms for random number generation in computer science, as described in "The Art of Computer Programming, Volume 2" by Donald E. Knuth. The probability distribution of each die roll follows the discrete uniform distribution, where each possible outcome has an equal probability of 1/n, where n is the number of sides on the die.