Dice Roller
Roll up to 20 virtual dice with any number of sides.
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Roll anywhere from 1 to 20 dice in one go, each with as many sides as you like, and see every individual result along with the total. It stands in for a lost Ludo die, a full set of tabletop role-playing dice, or a stack of dice for a classroom probability lesson.
Setting up a roll
- Number of dice: 1 to 20. Leave it blank for a single die; anything above 20 is capped at 20.
- Sides per die: leave it blank for a normal six-sided die. The minimum is 2 (a value of 1 is treated as 2), and there is no upper limit, so a d100 or even a d1000 works.
After you press Roll dice, the large number is the Total, the Rolls line lists each die in order (for example "2, 4"), and the Dice line confirms what was rolled in standard notation, such as "2 × d6". Every face has the same chance on every roll, and each die is independent of the others.
Reading dice notation like 3d6 or 1d20
Board games and role-playing games write rolls as NdS: N dice with S sides each. The classic polyhedral set used in Dungeons & Dragons is d4, d6, d8, d10, d12 and d20. To roll 3d6, enter 3 and 6; for a percentile roll, enter 1 and 100. Modifiers such as "1d20 + 5" are not a field here, so roll 1 × d20 and add the 5 yourself.
The average of any roll is N × (S + 1) ÷ 2. Two six-sided dice average 7, three average 10.5, and a single d20 averages 10.5.
Why 7 comes up most with two dice
With 2d6 there are 36 equally likely combinations, but they are not spread evenly across the totals. Six combinations make 7 (1+6, 2+5, 3+4 and the reverse), while only one makes 2 or 12:
| Total | Ways | Chance |
|---|---|---|
| 2 or 12 | 1 each | 2.8% |
| 3 or 11 | 2 each | 5.6% |
| 4 or 10 | 3 each | 8.3% |
| 5 or 9 | 4 each | 11.1% |
| 6 or 8 | 5 each | 13.9% |
| 7 | 6 | 16.7% |
Add more dice and the totals bunch even more tightly around the middle. Rolling 20 dice many times and tallying the totals is a quick way to show students the bell-shaped curve forming.
Games that need a quick roll
- Ludo and Snakes and Ladders: one d6. The chance of rolling the 6 needed to leave home is 1 in 6 per turn, so on average it takes six turns, and long waits are perfectly normal.
- Monopoly and backgammon: two d6, with the individual rolls shown so you can spot doubles.
- Role-playing games: any polyhedral die, including the d20 for attack rolls and d100 for percentile tables.
- Making choices: number six options and roll a d6. For two options a coin flip is simpler, and for a number in a custom range the random number generator lets you set a minimum and maximum.