Graphing point buy vs. dice comparisons for stat generation

[Arssanguinus]

D12+6?

[JohnF]

Arssanguinus wrote:

D12+6?

That's going to produce a whole lot of 18s (and a whole lot of 7s).

It's average value (12.5) is two points higher than the 10.5 of 3d6.

The whole point of rolling multiple dice is that it generates a distribution where the extremes turn up far less often than values in the middle of the range. With 3d6, for example, you're only about 4% as likely to roll an 18 as you are to roll a 10.

With 1d6+12, both results are equally likely.

[Arssanguinus]

4d4+2?