Type any roll and see the exact chance of every total: 3d6+2, 2d20kh1 for advantage, 4d6dl1 for ability scores, or mixed dice like d8+d6+3.
2d6
| Total | Exactly | At least | At most | Odds of exactly |
|---|---|---|---|---|
| 2 | 2.8% | 100% | 2.8% | 1 in 36 |
| 3 | 5.6% | 97.2% | 8.3% | 1 in 18 |
| 4 | 8.3% | 91.7% | 16.7% | 1 in 12 |
| 5 | 11.1% | 83.3% | 27.8% | 1 in 9 |
| 6 | 13.9% | 72.2% | 41.7% | about 1 in 7 |
| 7 | 16.7% | 58.3% | 58.3% | 1 in 6 |
| 8 | 13.9% | 41.7% | 72.2% | about 1 in 7 |
| 9 | 11.1% | 27.8% | 83.3% | 1 in 9 |
| 10 | 8.3% | 16.7% | 91.7% | 1 in 12 |
| 11 | 5.6% | 8.3% | 97.2% | 1 in 18 |
| 12 | 2.8% | 2.8% | 100% | 1 in 36 |
Write dice the way most rulebooks do: the number of dice, a d, then the number of sides. Join parts with + and −; spaces and capitals don't matter. Dice can have 2 to 1,000 sides, with up to 100 in a group.
| You type | It means |
|---|---|
| 3d6 | three six-sided dice, added up |
| d20+5 | one twenty-sided die plus 5 |
| 2d20kh1 | roll two d20s and keep the higher (advantage) |
| 2d20kl1 | roll two d20s and keep the lower (disadvantage) |
| 4d6dl1 | roll four d6s and drop the lowest |
| d8+d6−1 | mixed dice and a modifier |
| d% | a percentile die, 1 to 100 |
Put a second roll in Compare with to set them side by side and see how often each one rolls higher. Copy link makes a link that opens this exact roll for anyone you send it to.
Nothing here is simulated. Added dice are convolved: the chance of each total of two dice is the sum, over every face of the first die, of the chance that the second die makes up the rest, and so on for each further die. For keep and drop rolls the calculator counts, with binomial coefficients, how many ways the dice can land for each kept total. Percentages are rounded only for display; the odds beside them (“1 in 6”) are the same numbers put another way.
Five more helpers for game night.
Roll a handful of dice and count the hits: the chance of at least so many successes, with exploding dice and rerolled ones.
The chance of drawing the cards you need, for several groups at once, in the opening hand and turn by turn.
Turn order with tiebreaks, hit points and conditions; next and previous turn and a round counter, saved in your browser.
The 27-point buy and standard array from the 5th edition SRD, with ability modifiers and +2/+1 increases.
A turn timer for 2 to 8 players, or a chess clock with increments, with pause, sound and a screen that stays awake.
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Try WebTraceCheckRoll two twenty-sided dice and keep the higher one (kh is “keep highest”). Many games call this rolling with advantage. It lifts the average from 10.5 to 13.825, and the chance of 15 or more from 30% to 51%: one minus the chance that both dice show 14 or less, 1 − (14/20)².
About 1.74 points on average: 4d6dl1 averages 15869/1296, or about 12.24, against 10.5 for 3d6. It also makes high totals far more common: 16 or more comes up about 13.0% of the time, against 4.6% with 3d6. Use the 4d6dl1 vs 3d6 example to see both side by side.
No. Every chance is calculated exactly, by convolution for added dice and by counting for keep and drop rolls, so you get the same numbers every time and there is no sampling error. Very large requests are refused rather than estimated.