What is 4d6 Drop Lowest & How Does It Work?
The official heroic method for generating player character ability scores in Dungeons & Dragons 5th Edition.
In the Dungeons & Dragons 5th Edition Player’s Handbook (Chapter 1: Step-by-Step Characters), the primary recommended method for determining ability scores is rolling four 6-sided dice (written in dice notation as 4d6) and discarding the single lowest value (written as dl1 or drop lowest 1).
For example, if your 4d6 roll yields [6, 5, 4, 1]:
Rolls: 6, 5, 4, 1 (Dropped)
Calculation: 6 + 5 + 4 = 15 (Ability Score Modifier: +2)
You repeat this roll 6 times to establish your character’s six foundational abilities: Strength (STR), Dexterity (DEX), Constitution (CON), Intelligence (INT), Wisdom (WIS), and Charisma (CHA).
4d6 Drop Lowest Exact Probability Distribution Table
Exact mathematical frequencies, percentage odds, and cumulative probabilities across all 1,296 possible outcomes ($6^4$).
| Score (3–18) | 5e Modifier | Combinations / 1,296 | Exact Odds | Chance of ≥ Score | Bell Curve Visual |
|---|---|---|---|---|---|
| 18 | +4 | 21 | 1.62% | 100% | |
| 17 | +3 | 54 | 4.17% | 98.38% | |
| 16 | +3 | 94 | 7.25% | 94.21% | |
| 15 | +2 | 131 | 10.11% | 86.96% | |
| 14 | +2 | 160 | 12.35% | 76.85% | |
| 13 | +1 | 172 | 13.27% | 64.5% | |
| 12 | +1 | 167 | 12.89% | 51.23% | |
| 11 | +0 | 148 | 11.42% | 38.34% | |
| 10 | +0 | 122 | 9.41% | 26.92% | |
| 9 | -1 | 91 | 7.02% | 17.51% | |
| 8 | -1 | 62 | 4.78% | 10.49% | |
| 7 | -2 | 38 | 2.93% | 5.71% | |
| 6 | -2 | 21 | 1.62% | 2.78% | |
| 5 | -3 | 10 | 0.77% | 1.16% | |
| 4 | -3 | 4 | 0.31% | 0.39% | |
| 3 | -4 | 1 | 0.08% | 0.08% |
56.76%
Over half of all rolls yield a +1 modifier or higher.
13.04%
Approximately 1 in 8 rolls yields an elite primary stat.
5.71%
Severe penalties (-2 or worse) are kept rare.
Comparing D&D Stat Generation Methods
How 4d6 Drop Lowest compares against Standard Array, 27-Point Buy, and Classic 3d6.
Heroic & Dynamic
Average stat is 12.24 (Total ~73.4). Allows starting with high 16s–18s. Produces organic flaws and strengths.
Guaranteed Balance
Fixed set: 15, 14, 13, 12, 10, 8 (Total 72.0, Average 12.0). Ensures equal power across all party members.
Tactical Customization
Spend 27 points from base 8s up to 15s. Maximum control for multi-ability score dependent (MAD) builds.
Gritty / OSR Survival
Straight 3d6 per stat. Average is 10.5 (Total 63.0). High mortality, retro dungeon crawl feel.
Where to Assign Your 4d6 Rolls: D&D 5e Class Priority Guide
Quick recommendations for placing your top rolled scores based on your character's class.
Barbarian
Primary: Strength, Constitution
Secondary: Dexterity
Lowest (Dump): Intelligence / Charisma
Bard
Primary: Charisma
Secondary: Dexterity, Constitution
Lowest (Dump): Strength
Cleric
Primary: Wisdom
Secondary: Constitution, Strength (heavy armor)
Lowest (Dump): Intelligence
Druid
Primary: Wisdom
Secondary: Constitution, Dexterity
Lowest (Dump): Strength / Intelligence
Fighter
Primary: Strength or Dexterity
Secondary: Constitution
Lowest (Dump): Intelligence / Charisma
Monk
Primary: Dexterity, Wisdom
Secondary: Constitution
Lowest (Dump): Intelligence / Strength
Paladin
Primary: Strength, Charisma
Secondary: Constitution
Lowest (Dump): Intelligence / Dexterity
Ranger
Primary: Dexterity, Wisdom
Secondary: Constitution
Lowest (Dump): Intelligence / Strength
Rogue
Primary: Dexterity
Secondary: Constitution, Intelligence / Charisma
Lowest (Dump): Strength
Sorcerer
Primary: Charisma
Secondary: Constitution, Dexterity
Lowest (Dump): Strength
Warlock
Primary: Charisma
Secondary: Constitution, Dexterity
Lowest (Dump): Strength
Wizard
Primary: Intelligence
Secondary: Constitution, Dexterity
Lowest (Dump): Strength
Frequently Asked Questions (Roll 4d6 Drop Lowest)
Direct answers to common questions about rolling ability scores and 4d6 mathematics.
What does "Roll 4d6 Drop Lowest" mean?
In tabletop roleplaying games like D&D 5e, "4d6 Drop Lowest" (abbreviated 4d6dl1 or 4d6kh3) means you roll four six-sided dice at the same time, identify the single die showing the smallest number, discard it, and add the remaining three dice together. This produces an ability score between 3 and 18.
What is the average roll of 4d6 Drop Lowest?
The expected mathematical average of 4d6 Drop Lowest is 12.24 per attribute. By contrast, straight 3d6 has an average of 10.5. Discarding the lowest roll raises the average score by +1.74 points and drastically reduces the odds of crippling scores (scores below 8 occur in only 5.7% of rolls).
What are the odds of rolling an 18 on 4d6 Drop Lowest?
The probability of rolling an 18 (e.g. 6-6-6-6, 6-6-6-5, 6-6-6-4, 6-6-6-3, 6-6-6-2, or 6-6-6-1) is 21 out of 1,296 possible outcomes, which is exactly 1.62% (roughly 1 in every 61.7 rolls). On straight 3d6, the odds of an 18 are only 0.46% (1 in 216).
How do you roll a complete D&D character stat block with 4d6 Drop Lowest?
Repeat the 4d6 Drop Lowest process 6 times to generate 6 individual scores. You then assign these 6 numbers to your character's core ability scores: Strength (STR), Dexterity (DEX), Constitution (CON), Intelligence (INT), Wisdom (WIS), and Charisma (CHA), prioritizing the highest scores in your class's primary attributes.
Is 4d6 Drop Lowest better than the Standard Array (15, 14, 13, 12, 10, 8)?
The Standard Array totals 72 points with an average score of 12.0. Rolling 6 stats with 4d6 Drop Lowest totals an average of 73.44 points (average stat 12.24). While 4d6dl1 yields slightly stronger characters on average and allows for starting 18s, it carries the risk of rolling lower scores or imbalanced parties.
What is the difference between 4d6dl1 and 4d6kh3 in dice notation?
They mean the exact same mechanic: "4d6dl1" means "roll 4d6 and drop lowest 1", while "4d6kh3" means "roll 4d6 and keep highest 3". Both instructions yield the sum of the top 3 dice.
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