4d6 Drop Lowest Ability Score Calculator
Calculate exact probability distribution for rolling 4d6 and dropping the lowest die for D&D 5e character generation.
⚙️ Input Parameters
Real-Time Simulation PMF across all 1,296 permutations of 4d6 (sum of top 3 dice) Tactical Analysis & Mathematical Context
In tabletop gaming, understanding the mathematical distribution behind your rolls allows you to make informed risk-reward decisions. Whether balancing spell slot usage in D&D 5e, evaluating an attack profile in Warhammer 40k, or weighing trade routes in Catan, knowing the exact probability mass function (PMF) turns guesswork into strategy.
Frequently Asked Questions
What is the average ability score rolled with 4d6 drop lowest?
The theoretical average of 4d6 drop lowest is 12.2446, compared to an average of 10.5 on standard 3d6. This gives players significantly higher base stats.
What are the odds of rolling an 18 on 4d6 drop lowest?
Rolling an 18 requires either [6,6,6,6] or [6,6,6,x] (where x is 1 through 5). There are 21 winning combinations out of 1,296 possible rolls, giving a 1.62% chance (roughly 1 in 62 rolls).
What are the odds of rolling at least a 15 with 4d6 drop lowest?
The probability of rolling a score of 15 or higher (15, 16, 17, or 18) is approximately 23.15% (nearly 1 in 4 rolls).