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Homebrew 3d6 ability scores vs just modifiers

Started by Vic99, December 31, 2021, 11:44:27 PM

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Trinculoisdead

Quote from: Mercurius on January 01, 2022, 12:46:37 PM
I'm a fan of idiosyncratic systems of such things, if only because it is fun. I don't know how the probabilities would look, but the first thing that came to mind was something like this (assuming you want a range of -4 to +4).

0 unless two or three of a kind.
Two of a kind (1s, 2s, 3s): -1
Two of a kind (4s, 5s, 6s): +1
Three of a kind (1s): -4
Three of a kind (2s): -3
Three of a kind (3s): -2
Three of a kind (4s): +2
Three of a kind (5s): +3
Three of a kind (6s): +4

Again, I don't know the probabilities off hand, but it would make rolling ability scores kind of fun - a micro-game unto itself.
Getting any three of a kind is only going to happen ~2.8% of the time. Any two of a kind will happen ~42% of the time. (I think). I'd suggest changing it so that double 6s are +2, and double 1s are -2.


I like 3d6 and count 1s as -1 and 6s as +1 the best so far. It's easy to read the dice and it's really close to traditional 3d6. Here's a comparison statistically between it and regular stat generation. (Numbers have been rounded off to the nearest one-hundredth.)

Modifier      BX          3d6, count 1s and 6s
-3               .46%              .46%
-2              4.17%              5.55%
-1             21.29%            23.61%
0               48.14%           40.74%
+1             21.29%            23.61%
+2              4.17%              5.55%
+3               .46%              .46%