Sword of Spirit
Legend
Hi all,
I don't usually use random ability scores except for special occasions, but as I've been working up some fun ways to do it, I've realized I need a bit of help. My Google skills have failed me. I petition the mathemagicians of the forum for assistance.
We know that the results of the 4d6 drop lowest method average to an array of 15, 14, 13, 12, 10, 8. (I understand there may be some debate on that, but would prefer only concise statements for the reasons it may be incorrect, as minor details like that may not be terribly important.)
Now, I can probably figure out what the average roll result would be for 5d6 drop lowest two, 6d6 drop lowest three, 7d6, etc. What I can't figure out (and am not even sure where to start) is how to determine what the arrays would look like based on those numbers.
Would any of you kind mathemagicians be able to provide me with the arrays going up to about 8d6 or 9d6? Also, if there is debate on the accuracy of the 4d6 array, it would be nice to see how the debate would alter the results of these alternate spreads. Ie, "If you think the standard array is accurate enough, then such and so is the equivalent array with 5d6...while if you are using the more accurate standard array, the more accurate equivalent array with 5d6...is..."
Thanks in advance for helping out with my nefarious schemes.
I don't usually use random ability scores except for special occasions, but as I've been working up some fun ways to do it, I've realized I need a bit of help. My Google skills have failed me. I petition the mathemagicians of the forum for assistance.
We know that the results of the 4d6 drop lowest method average to an array of 15, 14, 13, 12, 10, 8. (I understand there may be some debate on that, but would prefer only concise statements for the reasons it may be incorrect, as minor details like that may not be terribly important.)
Now, I can probably figure out what the average roll result would be for 5d6 drop lowest two, 6d6 drop lowest three, 7d6, etc. What I can't figure out (and am not even sure where to start) is how to determine what the arrays would look like based on those numbers.
Would any of you kind mathemagicians be able to provide me with the arrays going up to about 8d6 or 9d6? Also, if there is debate on the accuracy of the 4d6 array, it would be nice to see how the debate would alter the results of these alternate spreads. Ie, "If you think the standard array is accurate enough, then such and so is the equivalent array with 5d6...while if you are using the more accurate standard array, the more accurate equivalent array with 5d6...is..."
Thanks in advance for helping out with my nefarious schemes.
