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<blockquote data-quote="Creamsteak" data-source="post: 1569470" data-attributes="member: 552">I figured out the mathematics to simplify the solution. And honestly, it's a much better choice then using random rolls. I ran the program for myself last night, and came up with the results, but I didn't save them. I'm running the program right now to calculate the values again. The only error with my new method is about 0.000000005971% due to truncation of decimals past the double precision.28.5277777775552 for all possible ability score arrays (using a linear negative formula for stats below 8, so 7 = -1 and 6 = -2 and so on down to 3 = -5).The average point value for all arrays that have a total modifier of +1 or greater and with at least one value greater than 14 comes to 30.0628924089566 points (and interestingly comprises 90.719834089556% of all possible rolls. So 30 points is very close to what you want to give if you want players to have ability scores approximately the same as rolling.Lastly, we have only examine those arrays where all numbers are at least 8. The problem with this is that it lowers the points value because there are more &quot;greater&quot; arrays&nbsp; than &quot;lesser&quot; arrays, so we should get a lower points value since we are examining significantly less total arrays. 26.616669536546[Code]All values &gt; 8&nbsp; &nbsp; One value &gt; 14&nbsp; &nbsp; Total mod &gt; 0&nbsp; &nbsp; Average Points ValueCheck&nbsp; &nbsp; &nbsp; &nbsp; Check&nbsp; &nbsp; &nbsp; &nbsp; Check&nbsp; &nbsp; &nbsp; &nbsp; 26.616669536546&nbsp; &nbsp; &nbsp; &nbsp; Check&nbsp; &nbsp; &nbsp; &nbsp; Check&nbsp; &nbsp; &nbsp; &nbsp; 30.0628924089566 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 28.5277777775552[/code]</blockquote>

[QUOTE="Creamsteak, post: 1569470, member: 552"] I figured out the mathematics to simplify the solution. And honestly, it's a much better choice then using random rolls. I ran the program for myself last night, and came up with the results, but I didn't save them. I'm running the program right now to calculate the values again. The only error with my new method is about 0.000000005971% due to truncation of decimals past the double precision. 28.5277777775552 for all possible ability score arrays (using a linear negative formula for stats below 8, so 7 = -1 and 6 = -2 and so on down to 3 = -5). The average point value for all arrays that have a total modifier of +1 or greater and with at least one value greater than 14 comes to 30.0628924089566 points (and interestingly comprises 90.719834089556% of all possible rolls. So 30 points is very close to what you want to give if you want players to have ability scores approximately the same as rolling. Lastly, we have only examine those arrays where all numbers are at least 8. The problem with this is that it lowers the points value because there are more "greater" arrays than "lesser" arrays, so we should get a lower points value since we are examining significantly less total arrays. 26.616669536546 [Code]All values > 8 One value > 14 Total mod > 0 Average Points Value Check Check Check 26.616669536546 Check Check 30.0628924089566 28.5277777775552[/code] [/QUOTE]

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