D&D 5e Ability Score Generator
Generate balanced ability scores for your character using the standard 4d6 drop lowest method
Ability Score Roller
Generates ability scores using the standard 4d6 drop lowest method. Add modifiers as needed for racial bonuses or other adjustments.
Click the button above to generate ability scores
About the 4d6 Drop Lowest Method
The 4d6 drop lowest method is the standard ability score generation method recommended in the D&D 5th Edition Player's Handbook. Here's how it works:
- Roll four six-sided dice (4d6)
- Discard the lowest die roll
- Add up the remaining three dice
- Repeat steps 1-3 six times to generate all six ability scores
- Assign these scores to your character's six abilities (STR, DEX, CON, INT, WIS, CHA)
This method tends to create above-average characters since the minimum possible score is 3 (three 1s) and the maximum is 18 (three 6s), but the odds are weighted toward higher numbers by dropping the lowest die.
Understanding Ability Modifiers
In D&D 5e, each ability score provides a modifier that is applied to various rolls and checks. The modifier is calculated as follows:
| Ability Score | Modifier | Ability Score | Modifier |
|---|---|---|---|
| 1 | -5 | 16-17 | +3 |
| 2-3 | -4 | 18-19 | +4 |
| 4-5 | -3 | 20-21 | +5 |
| 6-7 | -2 | 22-23 | +6 |
| 8-9 | -1 | 24-25 | +7 |
| 10-11 | +0 | 26-27 | +8 |
| 12-13 | +1 | 28-29 | +9 |
| 14-15 | +2 | 30 | +10 |
The formula for calculating a modifier is: (Ability Score - 10) ÷ 2, rounded down.
Applying Racial Bonuses
Most races in D&D 5e provide ability score increases. After generating your base ability scores, you can use the modifier inputs in our stat roller to apply these racial bonuses.
For example, if you are playing a Half-Orc (which gets +2 to Strength and +1 to Constitution), you would add those values to the respective ability scores after rolling.
The Math Behind 4d6 Drop Lowest
Rolling 4d6 and dropping the lowest die skews results upward compared to a plain 3d6 roll. There are 1,296 possible outcomes for four six-sided dice, and counting them all gives exact probabilities for each score:
| Score | Probability | Score | Probability |
|---|---|---|---|
| 18 | 1.62% | 12 | 12.89% |
| 17 | 4.17% | 11 | 11.42% |
| 16 | 7.25% | 10 | 9.41% |
| 15 | 10.11% | 9 | 7.02% |
| 14 | 12.35% | 8 | 4.78% |
| 13 | 13.27% | 7 or less | 5.71% |
Key takeaways: the most likely single score is 13, the average score is 12.24 (versus 10.5 for 3d6), and any single roll has a 13% chance of landing at 16 or higher. Across a full set of six scores, you have roughly a 9.3% chance of rolling at least one natural 18, and your six scores will total about 73.5 on average.
How It Compares to Other Methods
| Method | Average per Score | Expected Total | Character Power |
|---|---|---|---|
| 4d6 drop lowest | 12.24 | ~73.5 | Above average, with real variance — heroes and underdogs both happen |
| Standard array (15, 14, 13, 12, 10, 8) | 12 | 72 | Predictable and balanced; no chance of an 18 before racial bonuses |
| Point buy (27 points) | ~12 | varies | Full control between 8 and 15; similar power to the standard array |
| 3d6 in order ("classic") | 10.5 | 63 | Old-school and swingy; expect flawed, average characters |
Curious about the underlying probability theory? Our dice probability mathematics guide walks through distributions, expected values, and why multiple dice cluster toward the middle.
Need More D&D Tools?
Once you've generated your ability scores, you'll need to roll dice for your character during gameplay. Check out our specialized D&D dice roller with advantage/disadvantage support.