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Message: <blockquote data-quote="Particle_Man" data-source="post: 4773629" data-attributes="member: 892">I got bored and wondered what the average stats are for a 3rd edition D&D character.In D&D you roll 4 six sided dice per stat, dropping the lowest.  Ok, so far so good.  That is 1296 possible combinations, so I know enough about spreadsheets to rig one up that adds the 4 dice, subtracts the minimum number, and then orders the results from the lowest (the single 3) to the highest (the 18s).  Then I divide that into seven chunks, and check the number at each point after I add a chunk (1/7 of the 1296 results).  So I get the following average score: 9, 11, 12, 13, 14 and 15.  That is what an average roller of 4d6 drop the lowest would get  if they rolled six times (once for str, con, dex, int, wis and chr.  But there is the case of rerolling characters that are too weak.  In 3rd ed., a character is too weak if the highest stat is 13 or less.  There is also the case of modifiers.  Each stat has a modifier.  A 10 or 11 has a modifier of 0, while every two points the stat is above 10 or 11 give a +1 modifier and every two points the stat is below 10 or 11 gives a -1 modifier.  So a stat of 3 has a modifier of -4 and a stat of 18 has a modifier of +4.  Why is that important?  Because of the total of the modifiers of the stats is 0 or less (such as the extreme example of three stats that are 3 and three stats that are 18), the character is too weak and should be rerolled.  So that is two cases where characters should be rerolled, and with some but not total overlap between them (a character with six 10s would have to be rerolled for both of the above reasons for rerolling a character).And here I am lost.  I simply don't have the mathematical knowledge to factor in (or maybe factor out?) the cases where there should be rerolls, and thus calculate what the average score for a character would be, after rerolls are taken into account.  Presumably slightly higher.Any math geeks know how to do this, and what the average character would be?</blockquote>

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