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<blockquote data-quote="kerbarian" data-source="post: 2965671" data-attributes="member: 40393">I definitely didn't just do that.&nbsp; For the simple version (4d6, drop the lowest, not considering rerolls due to low stats), the probabilities for rolling each ability score work out to be:[CODE]Score&nbsp;&nbsp; %Chance&nbsp; Cost&nbsp; &nbsp; 3&nbsp;&nbsp; 0.0772%&nbsp; &nbsp; -5&nbsp; &nbsp; 4&nbsp;&nbsp; 0.3086%&nbsp; &nbsp; -4&nbsp; &nbsp; 5&nbsp;&nbsp; 1.1574%&nbsp; &nbsp; -3&nbsp; &nbsp; 6&nbsp;&nbsp; 2.3148%&nbsp; &nbsp; -2&nbsp; &nbsp; 7&nbsp;&nbsp; 3.8580%&nbsp; &nbsp; -1&nbsp; &nbsp; 8&nbsp;&nbsp; 6.1728%&nbsp; &nbsp;&nbsp; 0&nbsp; &nbsp; 9&nbsp;&nbsp; 8.7191%&nbsp; &nbsp;&nbsp; 1&nbsp;&nbsp; 10&nbsp; 10.4938%&nbsp; &nbsp;&nbsp; 2&nbsp;&nbsp; 11&nbsp; 12.1914%&nbsp; &nbsp;&nbsp; 3&nbsp;&nbsp; 12&nbsp; 12.7315%&nbsp; &nbsp;&nbsp; 4&nbsp;&nbsp; 13&nbsp; 12.4228%&nbsp; &nbsp;&nbsp; 5&nbsp;&nbsp; 14&nbsp; 10.7253%&nbsp; &nbsp;&nbsp; 6&nbsp;&nbsp; 15&nbsp;&nbsp; 8.4877%&nbsp; &nbsp;&nbsp; 8&nbsp;&nbsp; 16&nbsp;&nbsp; 5.7870%&nbsp; &nbsp; 10&nbsp;&nbsp; 17&nbsp;&nbsp; 3.3179%&nbsp; &nbsp; 13&nbsp;&nbsp; 18&nbsp;&nbsp; 1.2346%&nbsp; &nbsp; 16[/CODE]If you multiply the probability of each stat by its corresponding cost and add them up, you get the average point cost for a 4d6-drop-the-lowest roll, which is 4.1875.&nbsp; Multiply that by 6 stats, and the average point cost for an entire set of standard-rolled stats is 25.1250.To account for rerolls due to low stats, I calculated all possible sets of stats and their corresponding probabilities.&nbsp; For each set, I also worked out its total point buy cost and whether or not it could be rerolled (max stat &lt;= 13 or sum of modifiers &lt;= 0).&nbsp; If you ignore all sets of stats that can be rerolled, the remaining average point buy cost for each possible set of stats, weighted by the probability of rolling that set, is 26.3121.</blockquote>

[QUOTE="kerbarian, post: 2965671, member: 40393"] I definitely didn't just do that. For the simple version (4d6, drop the lowest, not considering rerolls due to low stats), the probabilities for rolling each ability score work out to be: [CODE]Score %Chance Cost 3 0.0772% -5 4 0.3086% -4 5 1.1574% -3 6 2.3148% -2 7 3.8580% -1 8 6.1728% 0 9 8.7191% 1 10 10.4938% 2 11 12.1914% 3 12 12.7315% 4 13 12.4228% 5 14 10.7253% 6 15 8.4877% 8 16 5.7870% 10 17 3.3179% 13 18 1.2346% 16[/CODE]If you multiply the probability of each stat by its corresponding cost and add them up, you get the average point cost for a 4d6-drop-the-lowest roll, which is 4.1875. Multiply that by 6 stats, and the average point cost for an entire set of standard-rolled stats is 25.1250. To account for rerolls due to low stats, I calculated all possible sets of stats and their corresponding probabilities. For each set, I also worked out its total point buy cost and whether or not it could be rerolled (max stat <= 13 or sum of modifiers <= 0). If you ignore all sets of stats that can be rerolled, the remaining average point buy cost for each possible set of stats, weighted by the probability of rolling that set, is 26.3121. [/QUOTE]

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