If you use the point-buy method for generating ability scores you are typically capped at 15. Someone asked me if you use the "4d6 drop the lowest" method what are the chances that you get a 16 or better? I did a little math and thought I would share it.
The answer is that there is a 57% that you will get a 16 or better on at least one of the rolls.
There's a 30% chance you get a 17 or higher on at least one of the rolls.
However, there's only a 11% chance of getting a 18 or higher.
You would have to be really unlucky to not get any 15's or higher (that only happens 20% of the time).
It's also possible (happens 7% of the time) that you don't get any 14's or higher.
Thanks, in general I either roll high or low and often break the averages, for example last time I used the D&DB die roller I rolled 5 nat 20's and 7-8 nat 1's in psychedelic dancing wizard mode.
Human. Male. Possibly. Don't be a divider. My characters' backgrounds are written like instruction manuals rather than stories. My opinion and preferences don't mean you're wrong. I am 99.7603% convinced that the digital dice are messing with me. I roll high when nobody's looking and low when anyone else can see.🎲 “It's a bit early to be thinking about an epitaph. No?” will be my epitaph.
Yes, the math says that 4d6 drop 1 rolling gives you a better overall average stat score than point buy in addition to a better chance at higher scores in a single stat. Add to this the fact that most of the time when you roll really poorly the DM will allow a reroll and it becomes even more pronounced.
I prefer point buy, but in the end it really doesn't make that much of a difference.
If you use the point-buy method for generating ability scores you are typically capped at 15. Someone asked me if you use the "4d6 drop the lowest" method what are the chances that you get a 16 or better? I did a little math and thought I would share it.
The answer is that there is a 57% that you will get a 16 or better on at least one of the rolls.
There's a 30% chance you get a 17 or higher on at least one of the rolls.
However, there's only a 11% chance of getting a 18 or higher.
You would have to be really unlucky to not get any 15's or higher (that only happens 20% of the time).
It's also possible (happens 7% of the time) that you don't get any 14's or higher.
Thanks, in general I either roll high or low and often break the averages, for example last time I used the D&DB die roller I rolled 5 nat 20's and 7-8 nat 1's in psychedelic dancing wizard mode.
I reject the probabilities!
Human. Male. Possibly. Don't be a divider.
My characters' backgrounds are written like instruction manuals rather than stories. My opinion and preferences don't mean you're wrong.
I am 99.7603% convinced that the digital dice are messing with me. I roll high when nobody's looking and low when anyone else can see.🎲
“It's a bit early to be thinking about an epitaph. No?” will be my epitaph.
Yes, the math says that 4d6 drop 1 rolling gives you a better overall average stat score than point buy in addition to a better chance at higher scores in a single stat. Add to this the fact that most of the time when you roll really poorly the DM will allow a reroll and it becomes even more pronounced.
I prefer point buy, but in the end it really doesn't make that much of a difference.
My homebrew subclasses (full list here)
(Artificer) Swordmage | Glasswright | (Barbarian) Path of the Savage Embrace
(Bard) College of Dance | (Fighter) Warlord | Cannoneer
(Monk) Way of the Elements | (Ranger) Blade Dancer
(Rogue) DaggerMaster | Inquisitor | (Sorcerer) Riftwalker | Spellfist
(Warlock) The Swarm