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You're right. Here are 10 sets of 15d2-12, where the average is 10.5 and the standard deviation is 1.94. (That's tight!) This is comparable to the Classic (3d6) method where the average is 10.5 and the standard deviation is 2.96. (10, 13, 11, 7, 10, 8) = Unevaluatable. (10, 10, 10, 12, 9, 9) =...

Mr. Emmerybird is my halfling Blink Wizard who tele-hops around the battlefield summoning giant toads and saying, "Boo!" Her is obsessed with frogs and strives to summon the Froghemoth one day.

I'm not sure what balance is. Earlier we pointed out that the Standard Array is the most balanced. It is also the most constrained. We also pointed out that out of a possible 54,264 sets of scores their are only 65 that equal 27 points. Furthermore, after applying Optimization guidelines to...

Could you generate a graph for 15d2-12. Maybe a graph for 16d2k15-12, 17d2k15-12, and 18d2k15-12? 🥺

I think they already know.

Yes, this is correct. Just about any method that offers choice will lead to dumping scores.° The Standard method leads to dump scores as well, I've said this several times in this thread. But, this thread is a place where the Point Buy method stands alone to defend itself without resorting to...

🤓 Um, actually, the Commoner Array would be (10, 10, 10, 11, 11, 11). This is because the average of 3d6 is 10.5, with a point buy equivalent of 15 points. 🤓

One way you can achieve lower variance is to roll more dice. I pushed this as far as I could get it with an absurd 15d2-12 method. I call it the Coin Flip method.

You can avoid dump scores by randomly placing them, but I'm not advocating for that. I repeat, I'm not advocating for random placement of scores. In this thread we've been talking about dump scores as a part of the cookie cutter problem of the Point Buy method overall. Mechanically dump scores...

Assigning scores leads directly to dump scores. Now those are some pretty high scores with an overall bonus of 15 so I'll admit it makes it easier to avoid dumping scores. But, I would bet that most people, including myself, would put the 17 or 18 into one their "useful" abilities. This then...

Yes, this is true. I don't know about the 50th Anniversary edition, but the 5th edition leaves us with three methods that all encourage dumping scores, but there are different ways to generate scores that don't encourage dumping, minimize it, or eliminate it all together. You know, Point Buy...

You don't have to roll all 18s, the same would be true if you rolled all 13s or all 4s. It's true that both the Standard method and the Point Buy method encourage score dumping. The difference though is that with the Standard method you're not making a 27-point cookie. You're unlikely to roll...

Yes, because of Arrangement both the Standard method and Point Buy have the Dump Score problem. However, I would say that most Point Buy characters with a low intelligence (or any other low score) have it because there were no points left to spend on it. It seems that our cookies have a top...

For once? We don't need high scores to be superheroes in this game. It's the default.

Yeah, you're right. Now I'm going to have to do some real math. Just multiplying them won't work. Maybe I shouldn't have gone out and bought so many lottery tickets. 🙃

How about this as an idea. The Player rolls a d20 in front of the screen and the Dungeon Master rolls a d20 behind the screen. Then the Dungeon Master adds their roll to the Player's roll but you roll over the count back to 1 if if the sum is more than 20. Examples: Player = 1, DM = 6...

It would seem that 41% of people on these boards Roll with Dice, 31% Buy with Points, and 25% use the Standard Array.

I doubt it. Have you made 66 Point Buy characters? Then you are guaranteed to have made two identical sets of arrays. But you probably don't have to make that many characters. I think there are fewer than 20 arrays we end up with; particularly if we apply optimization guidelines to our score...

That balance comes through sacrificing diversity. With the Standard method we would never roll the same set of scores twice in our lifetimes. I suspect 25% to 50% of the time we build the same set of scores with Point Buy.

FIGHT CLUB!!! There 54,264 different combinations off ability scores. So I think the probability of two people rolling the same set of scores would be a 1/54264 chance multiplied (?) by another 1/54264. If my math is correct then the chance of two people rolling the same set of scores is...