Roll ability scores as 4d6 drop lowest β six times, with the discarded die and the resulting modifier shown for each β or roll any attack, damage or healing expression in standard notation. Built for tabletop play rather than generic number generation.
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Why four dice and drop one
Rolling 3d6 for an ability score is the original method and produces an average of 10.5, with the extremes genuinely rare. It generates ordinary people. That was the intent in early editions, where a character with a poor score was simply a character with a poor score.
Rolling four and discarding the lowest shifts the distribution upward β the average rises to about 12.24 β and makes high scores meaningfully more common without making them guaranteed. It generates capable people while leaving room for a weak spot. That balance is why the method spread and stuck.
The mechanism is simple: discarding the lowest die removes the worst outcome from each roll, so low totals become much less likely while the ceiling stays at 18.
Reading the numbers
The score itself is only half the information. What matters in play is the modifier, derived by subtracting 10 and halving, rounding down. Scores pair up: 12 and 13 both give +1, 14 and 15 both give +2.
This has a practical consequence people often miss. Raising a score from 13 to 14 is worth a full point of modifier; raising it from 12 to 13 is worth nothing at all in most situations. The tool shows the modifier next to each score so the pairing is visible rather than something to work out at the table.
Variance is the whole argument
Rolled scores vary, and that variance is the entire debate. One player rolls three scores above 15 and another rolls nothing above 13, and they sit at the same table for a year. Whether that is exciting or unfair is a question about your group, not about the dice.
Fixed arrays and point-buy systems exist because many tables decided the variance was not worth it. Nothing is lost mathematically β a standard array is close to the average of a rolled set β but the story of the roll is lost, and some players value that a great deal.
Where a table does roll, it is worth agreeing beforehand what happens with a very poor set. Rerolling the whole set if the total falls below a threshold is a common house rule, and having it decided in advance avoids an argument at exactly the wrong moment.
Rolling in the open
Showing all four dice and marking the discarded one is not decoration. Character creation is the moment where a roll matters most and is hardest to verify afterwards, and a score reported without its dice is a number you have to take on trust.
The same applies at the table: rolling in the open is a convention precisely because it makes the result checkable by everyone present. A digital roller that hides its working is a step backwards from a physical die.
Notation for everything else
Beyond character creation, most rolls are expressions: 1d20+5 for an attack, 8d6 for a fireball, 2d4+2 for healing. Notation mode handles those directly, including mixed expressions such as 2d6+1d8 where more than one die type contributes.
The notation is the standard one β a count, the letter d, the number of faces, then an optional modifier β so an expression copied straight out of a rulebook or a character sheet works without translation.
Privacy
Rolls are generated in your browser. Nothing is transmitted, stored or logged.
Rolling in order or assigning freely
Once six ability scores are rolled, tables differ on what happens next. Some assign them in a fixed order, so the dice decide which abilities are strong. Others let the player place the scores where they like, which lets anyone build the character they intended while keeping the variance in overall power.
The second is far more common now, because a rolled set placed badly can produce a character that is unplayable in the role its owner wanted. Free assignment keeps the excitement of the roll without that risk.
The tool reports the six scores as a set rather than tied to particular abilities, which suits either approach β the table decides, not the dice.
How to use the D&D Dice Roller
- For a new character, choose ability scores β six sets of 4d6 with the lowest die dropped.
- For anything else, switch to notation and type the expression, such as 1d20+5 or 8d6.
- Roll. Ability scores show the dice, the dropped die and the resulting modifier.
Frequently asked questions
What does "4d6 drop lowest" mean?
Roll four six-sided dice, discard the lowest, and add the remaining three. It produces a score from 3 to 18 that skews high β the average is about 12.24, against 10.5 for a straight 3d6 β which is why it became the common way to roll heroic characters.
How is an ability modifier calculated?
Subtract 10 from the score and halve the result, rounding down. A score of 16 gives +3; a score of 9 gives -1. The tool shows the modifier alongside each score so there is nothing to work out.
Why show the dropped die?
So the roll can be checked. Reporting only the final score asks you to trust the arithmetic; showing all four dice and which one was discarded makes it verifiable, which is what a physical roll in front of the group already provides.
What is the chance of rolling an 18?
About 1.6% per score with 4d6 drop lowest, so roughly one in every 63 scores. Across a full set of six you have around a one in ten chance of seeing at least one 18, which matches most people's experience at the table.
Can I roll damage and attacks here too?
Yes β switch to notation mode and type the expression. It handles the usual forms, including several dice types in one roll, such as 2d6+1d8.
Is rolling for scores better than a standard array?
Different, not better. Rolling produces variance: some characters end up stronger than others, which some tables enjoy and others find unfair. A fixed array or a point-buy system removes that variance entirely. It is a table-culture decision rather than a mathematical one.
Are the dice fair?
Yes. Every die is an independent draw from your browser's cryptographic random source with rejection sampling, so each face is equally likely and no result is favoured.
