The average of 4d6 drop lowest is 12.24, so the difference is 1.74 or 10.44 over six rolls.Anydice is great for this.
AnyDice is an advanced dice probability calculator, available online. It is created with roleplaying games in mind.anydice.com
On 3d6 the average is 10.5. On 4d6, drop the lowest, the average is 13. So +2.5 is the difference between straight rolls. So whatever you'd need to add to make up the difference.
Since some people got this wrong... I'll set it straight for you.Okay, mathy people, can anyone help me figure out how to make this work?
I'd like to have two methods of stat generation that give, on average, equal results in the end.
The first is more or less what rolling for stats looks like right now: 4d6, drop one die of your choice, then add (for a typical character) +2 to one stat and +1 to another.
The second is the challenge. I want to create an option for rolling 3d6, but with several sets of +2/+1 ability score increases: one free floating, one for race, and one for class... but I don't know if that's enough to equal that extra die-drop-one. I feel like it's not.
Can anyone help me figure out how to balance these two options?
However.....Woowwwww.....by the math, you're right. That's 7.5 feats right there.
That is a good point.However.....
arguably only one of the stats is really important, one is a bit important and the rest not-so-much depending on the character class. So I would argue that 2 feats is a suitable replacement for doing 3d6 stat generation rather than 4d6 drop lowest.
That's why it was very wise of you to check and ask around. The number of times I've seen GMs not bother and come up with numbers that were completely insane...So about a difference of 15 points total- wow, that's far more than I expected. That's five sets of +2/+1. Hm.
I am, and I think that a player who willingly chose the 3d6 would be the type who would enjoy playing multiple low stats.1. With 3d6, a character is much more likely to have some state below 8, and that is not easily corrected with simple numerical bonuses. The characters that get generated have limitations much less likely to be seen with 4d6dL. Are you prepared for a character to have 3 or 4 stats below 10? Will that be fun for the player? Is the player?
Hoo boy. So let's talk about why I'm trying to come up with something- it's to accommodate players who really want those starting ASIs to be floating instead of tied to race. I know that this is controversial and I don't want to side track the thread with a big discussion about it, but in short, I don't like disconnecting ASIs from race. I'm trying to find a path where I can include both a floating +2/+1 and a fixed +2/+1, or several such sets of bonuses, and have it balance with 4d6 drop 1.2. Most characters can afford to have a dump stat or two. What does a player gain by taking the 3d6 option? Bonuses that bring it to 4d6dL aren't enough, and you don't want to incentivize players to risk making a character they don't want to play (or so I presume).
One way to balance it might be to offer the 3d6 people three of the following (or all 4 if the six abilities are played in order!):
1. free feat.
2.+3/+2/+1 instead of +2/+1.
3. any stat <8 after adjustments can become 10
4. uncommon magic item of choice
That's off the top of my head, but it might make it a real choice between methods then, because it gives things 4d6dL doesn't.