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<blockquote data-quote="tarchon" data-source="post: 346015" data-attributes="member: 5990">This page has 6 4d6 drop lowest, reroll hopeless characters (standard 3e), but I know there was an error at one time, which may or may not have been corrected.<a href="http://www.darkshire.org/~jhkim/rpg/dnd/index.html" target="_blank">http://www.darkshire.org/~jhkim/rpg/dnd/index.html</a>These are the probabilities.&nbsp; You probably really care more about the modal (most common) than the mean stats, but the means aren't hard to compute either.&gt;&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; highest 2nd&nbsp; &nbsp;&nbsp; 3rd&nbsp; &nbsp;&nbsp; 4th&nbsp; &nbsp;&nbsp; 5th&nbsp; &nbsp;&nbsp; 6th&gt; &gt; 3&nbsp; &nbsp; &nbsp;&nbsp; 0.0000&nbsp; 0.0000&nbsp; 0.0000&nbsp; 0.0000&nbsp; 0.0000&nbsp; 0.0026&gt; 4&nbsp; &nbsp; &nbsp;&nbsp; 0.0000&nbsp; 0.0000&nbsp; 0.0000&nbsp; 0.0000&nbsp; 0.0000&nbsp; 0.0128&gt; 5&nbsp; &nbsp; &nbsp;&nbsp; 0.0000&nbsp; 0.0000&nbsp; 0.0000&nbsp; 0.0000&nbsp; 0.0003&nbsp; 0.0318&gt; 6&nbsp; &nbsp; &nbsp;&nbsp; 0.0000&nbsp; 0.0000&nbsp; 0.0000&nbsp; 0.0000&nbsp; 0.0032&nbsp; 0.0753&gt; 7&nbsp; &nbsp; &nbsp;&nbsp; 0.0000&nbsp; 0.0000&nbsp; 0.0000&nbsp; 0.0001&nbsp; 0.0141&nbsp; 0.1277&gt; 8&nbsp; &nbsp; &nbsp;&nbsp; 0.0000&nbsp; 0.0000&nbsp; 0.0000&nbsp; 0.0038&nbsp; 0.0614&nbsp; 0.1911&gt; 9&nbsp; &nbsp; &nbsp;&nbsp; 0.0000&nbsp; 0.0000&nbsp; 0.0004&nbsp; 0.0230&nbsp; 0.1426&nbsp; 0.2103&gt; 10&nbsp; &nbsp; &nbsp; 0.0000&nbsp; 0.0003&nbsp; 0.0145&nbsp; 0.1091&nbsp; 0.2359&nbsp; 0.1772&gt; 11&nbsp; &nbsp; &nbsp; 0.0000&nbsp; 0.0051&nbsp; 0.0719&nbsp; 0.2174&nbsp; 0.2484&nbsp; 0.1086&gt; 12&nbsp; &nbsp; &nbsp; 0.0000&nbsp; 0.0503&nbsp; 0.2019&nbsp; 0.2807&nbsp; 0.1816&nbsp; 0.0471&gt; 13&nbsp; &nbsp; &nbsp; 0.0000&nbsp; 0.1652&nbsp; 0.2960&nbsp; 0.2251&nbsp; 0.0851&nbsp; 0.0131&gt; 14&nbsp; &nbsp; &nbsp; 0.1295&nbsp; 0.2997&nbsp; 0.2536&nbsp; 0.1079&nbsp; 0.0236&nbsp; 0.0021&gt; 15&nbsp; &nbsp; &nbsp; 0.2362&nbsp; 0.2754&nbsp; 0.1243&nbsp; 0.0288&nbsp; 0.0035&nbsp; 0.0002&gt; 16&nbsp; &nbsp; &nbsp; 0.2964&nbsp; 0.1549&nbsp; 0.0335&nbsp; 0.0038&nbsp; 0.0002&nbsp; 0.0000&gt; 17&nbsp; &nbsp; &nbsp; 0.2320&nbsp; 0.0448&nbsp; 0.0038&nbsp; 0.0002&nbsp; 0.0000&nbsp; 0.0000&gt; 18&nbsp; &nbsp; &nbsp; 0.1059&nbsp; 0.0043&nbsp; 0.0001&nbsp; 0.0000&nbsp; 0.0000&nbsp; 0.0000The modal stats are 16,14,13,12,11,9 (+6 mods) then.&nbsp; Definitely a little beefier than the base point-buy&nbsp; system in the DMG, but not by a whole lot (standard 15,14,13,12,10,8, +5 mods).&nbsp; It's interesting that the DMG's standard stat array is so close to the modal abilities.&nbsp; It seems pretty likely that they worked this out to derive the point buy system.&nbsp; 29 points would probably tend to be closer to the random rolls than the 25 point allowance though.Sorry the table sucks - this board doesn't seem to render pre tags very well and I just pasted it from an old USENET post of mine.The code for this is very easy to write, but sometimes people run into problems with underflows and making unwarranted approximations.</blockquote>

[QUOTE="tarchon, post: 346015, member: 5990"] This page has 6 4d6 drop lowest, reroll hopeless characters (standard 3e), but I know there was an error at one time, which may or may not have been corrected. [url]http://www.darkshire.org/~jhkim/rpg/dnd/index.html[/url] These are the probabilities. You probably really care more about the modal (most common) than the mean stats, but the means aren't hard to compute either. > highest 2nd 3rd 4th 5th 6th > > 3 0.0000 0.0000 0.0000 0.0000 0.0000 0.0026 > 4 0.0000 0.0000 0.0000 0.0000 0.0000 0.0128 > 5 0.0000 0.0000 0.0000 0.0000 0.0003 0.0318 > 6 0.0000 0.0000 0.0000 0.0000 0.0032 0.0753 > 7 0.0000 0.0000 0.0000 0.0001 0.0141 0.1277 > 8 0.0000 0.0000 0.0000 0.0038 0.0614 0.1911 > 9 0.0000 0.0000 0.0004 0.0230 0.1426 0.2103 > 10 0.0000 0.0003 0.0145 0.1091 0.2359 0.1772 > 11 0.0000 0.0051 0.0719 0.2174 0.2484 0.1086 > 12 0.0000 0.0503 0.2019 0.2807 0.1816 0.0471 > 13 0.0000 0.1652 0.2960 0.2251 0.0851 0.0131 > 14 0.1295 0.2997 0.2536 0.1079 0.0236 0.0021 > 15 0.2362 0.2754 0.1243 0.0288 0.0035 0.0002 > 16 0.2964 0.1549 0.0335 0.0038 0.0002 0.0000 > 17 0.2320 0.0448 0.0038 0.0002 0.0000 0.0000 > 18 0.1059 0.0043 0.0001 0.0000 0.0000 0.0000 The modal stats are 16,14,13,12,11,9 (+6 mods) then. Definitely a little beefier than the base point-buy system in the DMG, but not by a whole lot (standard 15,14,13,12,10,8, +5 mods). It's interesting that the DMG's standard stat array is so close to the modal abilities. It seems pretty likely that they worked this out to derive the point buy system. 29 points would probably tend to be closer to the random rolls than the 25 point allowance though. Sorry the table sucks - this board doesn't seem to render pre tags very well and I just pasted it from an old USENET post of mine. The code for this is very easy to write, but sometimes people run into problems with underflows and making unwarranted approximations. [/QUOTE]

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