What Dice Roller does
Choose a die from d4 to d100, set how many to roll (1 to 20) and enter a modifier such as +5 or -1. Press Roll and the tool lists each die separately, then shows five figures: Total (dice plus modifier), Dice sum, Average roll, Highest and Lowest. That covers the common tabletop rolls in one press. 1d20+5 is one d20 with a modifier of 5. Advantage is two d20s, reading Highest. A damage roll like 8d6 is eight d6s, reading Total. Each roll uses one die type, so a mixed roll such as 1d8 + 1d6 takes two presses. Every face has an equal chance on every die.
Dice types from d4 to d100: range, average and odds
The seven dice this roller offers, with the shape of the physical die each one stands in for.
| Die | Results | Average roll | Chance of any one face | Physical shape |
|---|---|---|---|---|
| d4 | 1 to 4 | 2.5 | 25% | Tetrahedron (four triangular faces) |
| d6 | 1 to 6 | 3.5 | 16.67% | Cube |
| d8 | 1 to 8 | 4.5 | 12.5% | Octahedron |
| d10 | 1 to 10 | 5.5 | 10% | Pentagonal trapezohedron |
| d12 | 1 to 12 | 6.5 | 8.33% | Dodecahedron |
| d20 | 1 to 20 | 10.5 | 5% | Icosahedron |
| d100 | 1 to 100 | 50.5 | 1% | Usually two d10s read as tens and units |
This d10 gives 1 to 10 and this d100 gives 1 to 100 as a single number. There is no 0 face and no separate tens die.
Example rolls and how to read the result
Real output from the roller. Rolls are random, so the same settings give different dice each time.
2d6, the default
Dice type d6, How many dice 2, Modifier 0
Rolls 6 and 2. Total 8, Dice sum 8, Average roll 4, Highest 6, Lowest 2
1d20+5 attack roll
Dice type d20, How many dice 1, Modifier 5
Roll 20. Total 25 (20 + 5), Dice sum 20
The Rolls list shows the natural 20 before the bonus, which is what matters for a critical hit.
2d20 for advantage or disadvantage
Dice type d20, How many dice 2, Modifier 0
Rolls 20 and 7. Highest 20, Lowest 7, Total 27
Take 20 with advantage or 7 with disadvantage, and ignore Total.
2d8-1 damage
Dice type d8, How many dice 2, Modifier -1
Rolls 8 and 3. Total 10 (11 − 1), Dice sum 11, Average roll 5.5
4d6 drop lowest for an ability score
Dice type d6, How many dice 4, Modifier 0
Rolls 6, 2, 3 and 5. Dice sum 16, Lowest 2
Subtract Lowest from Dice sum: 16 minus 2 gives a score of 14.
3d6
Dice type d6, How many dice 3, Modifier 0
Rolls 6, 2 and 3. Total 11, Average roll 3.67, Highest 6, Lowest 2
d100 percentile roll
Dice type d100, How many dice 1, Modifier 0
Roll 98. Total 98
2d6 probability chart
Two six-sided dice have 36 equally likely combinations. Totals near 7 come up far more often than the extremes.
| Total | Combinations | Chance | Chance of this total or higher |
|---|---|---|---|
| 2 | 1 | 2.78% | 100% |
| 3 | 2 | 5.56% | 97.22% |
| 4 | 3 | 8.33% | 91.67% |
| 5 | 4 | 11.11% | 83.33% |
| 6 | 5 | 13.89% | 72.22% |
| 7 | 6 | 16.67% | 58.33% |
| 8 | 5 | 13.89% | 41.67% |
| 9 | 4 | 11.11% | 27.78% |
| 10 | 3 | 8.33% | 16.67% |
| 11 | 2 | 5.56% | 8.33% |
| 12 | 1 | 2.78% | 2.78% |
Common dice rolls: minimum, maximum and average
How to set up frequently used rolls, and the range to expect from each.
| Roll | Dice type | How many dice | Modifier | Minimum | Maximum | Average |
|---|---|---|---|---|---|---|
| 1d20 | d20 | 1 | 0 | 1 | 20 | 10.5 |
| 1d20+5 | d20 | 1 | 5 | 6 | 25 | 15.5 |
| 2d6 | d6 | 2 | 0 | 2 | 12 | 7 |
| 3d6 | d6 | 3 | 0 | 3 | 18 | 10.5 |
| 1d8+3 | d8 | 1 | 3 | 4 | 11 | 7.5 |
| 2d10 | d10 | 2 | 0 | 2 | 20 | 11 |
| 1d12+4 | d12 | 1 | 4 | 5 | 16 | 10.5 |
| 8d6 | d6 | 8 | 0 | 8 | 48 | 28 |
| 1d100 | d100 | 1 | 0 | 1 | 100 | 50.5 |
| 20d6 | d6 | 20 | 0 | 20 | 120 | 70 |
Average = number of dice x (sides + 1) / 2, plus the modifier.
Advantage, disadvantage and 4d6 drop lowest by the numbers
Rolling two d20s and keeping the higher one raises the average from 10.5 to 13.825. Keeping the lower one drops it to 7.175. The chance of at least one natural 20 on two dice is 9.75%, compared with 5% on a single die, and the chance of both showing 20 is 0.25%. The same figures apply in reverse to natural 1s with disadvantage.
For ability scores, rolling four d6 and dropping the lowest die gives an average of about 12.24, against 10.5 for a straight 3d6. The roller does not drop dice for you, but Dice sum minus Lowest gives the answer in one subtraction.
The Average roll figure in the results is the mean of the dice you just rolled, not the theoretical average. Over a few dice it can sit well away from the expected value; rolling 20d6 once gave an average of 4.15 against an expected 3.5.
Limits of this dice roller
- One die type per roll. For 1d8 + 1d6, roll each type separately and add the totals.
- 1 to 20 dice per roll. Larger pools need two or more presses.
- Seven fixed dice: d4, d6, d8, d10, d12, d20 and d100. There is no d2, d3 or custom number of sides.
- The modifier is a whole number added once to the total. Decimals are cut down to the whole part.
- No dice notation box, exploding dice, rerolls, success counting or automatic keep-highest and drop-lowest.
- No roll history. Each press replaces the previous result, so copy the Rolls list if you need a record.
- The rolls come from a fast pseudo-random generator restarted with a fresh random value on each press. That is fine for games and teaching, but it is not a certified source for gambling or prize draws.
Using Dice Roller
- 1
Choose the Dice type: d4, d6, d8, d10, d12, d20 or d100.
- 2
Enter How many dice to roll together, from 1 to 20.
- 3
Type a Modifier if the roll has a flat bonus or penalty, for example 3 or -2. Leave it at 0 for a plain roll.
- 4
Press Roll and read each die in the Rolls list.
- 5
Use Total for the final result, or Highest and Lowest for advantage, disadvantage and drop-the-lowest rolls.