The purpose
This dice roller simulates rolling any number of identical dice with any number of sides. Whether you're playing a tabletop RPG, running a game night, settling a bet, or just exploring probability, this tool gives you instant, fair results without needing physical dice.
How it works
You enter two pieces of information: how many dice you want to roll, and how many sides each die has. The calculator then generates a random number for each die (from 1 to the number of sides), adds them all together, and shows you the result. Click 'Reroll' anytime to roll again.
The calculator also displays the theoretical range—the lowest and highest possible results—and highlights the most probable outcome. This helps you understand not just what you rolled, but where it falls in the distribution.
The formula
result = sum of N dice, each uniform in [1, S]
Where N is the number of dice and S is the number of sides per die. Each die independently generates a random integer from 1 to S with equal probability, and all results are summed.
Worked example
Let's roll 2 dice with 6 sides each (2d6 in gaming notation).
Inputs:
- Number of dice: 2
- Sides per die: 6
Step 1: The calculator randomly generates a number from 1–6 for the first die. Let's say it lands on 4.
Step 2: It generates another random number from 1–6 for the second die. Let's say it lands on 5.
Step 3: Add them together: 4 + 5 = 9
Output range: 2 (lowest: 1+1) to 12 (highest: 6+6)
Most likely result: 7 (the middle of the range)
If you click 'Reroll', the calculator runs the same process again. You might get 7, or 3, or 11—each outcome has a specific probability. Rolling 7 is most common because more combinations add up to 7 (like 1+6, 2+5, 3+4) than to extreme values like 2 or 12.
Common use cases
This roller is built for:
- Tabletop RPGs: D&D, Pathfinder, Warhammer, and other systems that rely on polyhedral dice.
- Board games: Monopoly, Yahtzee, and any game needing random rolls.
- Probability learning: See how rolling more dice smooths out randomness and clusters results toward the average.
- Quick decisions: Use dice rolls to make fair, unbiased choices.
Things to watch
Reroll often: Each click generates a fresh, independent result. Past rolls don't influence future ones—that's what makes it fair.
Range vs. likelihood: The range shows the absolute minimum and maximum. The most likely result sits in the middle, but you'll still see plenty of rolls above and below it. That's normal.
Large numbers: Rolling 100d6 is possible and will give a result between 100 and 600, clustered tightly around 350. The more dice you roll, the more predictable the average becomes.