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<blockquote data-quote="Rystil Arden" data-source="post: 2791501" data-attributes="member: 29014">That's actually not one of the problems <img src="http://www.enworld.org/forum/images/smilies/laugh.png"&nbsp; class="smilie" loading="lazy" alt=":lol:" title="Laughing&nbsp; &nbsp; :lol:" data-shortname=":lol:" /> (it can be modelled by 3 12s and 3 13s).&nbsp; The biggest problem, and the most obvious one, is that you cannot take the point buy of the average roll.&nbsp; You have to take the average point buy over all rolls.&nbsp; Why?&nbsp; Because it isn't a linear progression, so the higher stats have a nonlinearly greater point buy.&nbsp; For example, let's work with a simpler problem:&nbsp; The average Point Buy of one roll of 3d6 no drops.&nbsp; The average roll on that is precisely 10.5, so the &quot;25 PB&quot; crowd would say &quot;Oh, that's 2.5 Point Buy&quot;.&nbsp; But let's calculate the actual average:Note: For rolls of 3 through 8, the PB is 0, so the weighted average for them is 018: 1/216 * 1617: 3/216 * 1316: 6/216 * 1015: 10/216 * 814: 15/216 * 613: 21/216 * 512: 25/216 * 411: 27/216 * 310: 27/216 * 29: 25/216 * 1----------------3.00925</blockquote>

[QUOTE="Rystil Arden, post: 2791501, member: 29014"] That's actually not one of the problems :lol: (it can be modelled by 3 12s and 3 13s). The biggest problem, and the most obvious one, is that you cannot take the point buy of the average roll. You have to take the average point buy over all rolls. Why? Because it isn't a linear progression, so the higher stats have a nonlinearly greater point buy. For example, let's work with a simpler problem: The average Point Buy of one roll of 3d6 no drops. The average roll on that is precisely 10.5, so the "25 PB" crowd would say "Oh, that's 2.5 Point Buy". But let's calculate the actual average: Note: For rolls of 3 through 8, the PB is 0, so the weighted average for them is 0 18: 1/216 * 16 17: 3/216 * 13 16: 6/216 * 10 15: 10/216 * 8 14: 15/216 * 6 13: 21/216 * 5 12: 25/216 * 4 11: 27/216 * 3 10: 27/216 * 2 9: 25/216 * 1 ---------------- 3.00925 [/QUOTE]

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