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<blockquote data-quote="Yaarel" data-source="post: 7252929" data-attributes="member: 58172">Here is the math behind the point method to customize an ability score array. For example, to buy a 16 costs 14 points.The official ability score array (15 14 13 12 10 8) costs 27 points total. With this budget, it is possible to buy a 16 (costing 14 points), even a 17 (costing 23 points). But to buy an 18 (costing 50 points) is beyond the 27 point budget.[CODE]Calculations for Ability Score Point Cost[B]3d6&nbsp;&nbsp; Freq&nbsp; &nbsp; 1/Freq&nbsp;&nbsp; x 1/8&nbsp;&nbsp; Sum&nbsp; &nbsp;&nbsp; Round Down&nbsp;&nbsp; Official[/B][B][COLOR=#0000cd]18[/COLOR]&nbsp; &nbsp; [/B].0046&nbsp;&nbsp; 217.39&nbsp;&nbsp; 27.17&nbsp;&nbsp; 50.61&nbsp;&nbsp; [B][COLOR=#0000cd]50[/COLOR]&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp; [/B][B][COLOR=#0000cd]17[/COLOR]&nbsp; &nbsp; [/B].0139&nbsp; &nbsp; 71.94&nbsp; &nbsp; 8.99&nbsp;&nbsp; 23.44&nbsp;&nbsp; [B][COLOR=#0000cd]23[/COLOR]&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp; [/B][B][COLOR=#0000cd]16[/COLOR]&nbsp; &nbsp; [/B].0278&nbsp; &nbsp; 35.97&nbsp; &nbsp; 4.50&nbsp;&nbsp; 14.45&nbsp;&nbsp; [B][COLOR=#0000cd]14[/COLOR]&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp; [/B][B][COLOR=#0000cd]15[/COLOR]&nbsp; &nbsp; [/B].0463&nbsp; &nbsp; 21.60&nbsp; &nbsp; 2.70&nbsp; &nbsp; 9.95&nbsp;&nbsp; [B] [COLOR=#0000cd]9[/COLOR]&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp; [/B]9[B][COLOR=#0000cd]14[/COLOR]&nbsp; &nbsp; [/B].0694&nbsp; &nbsp; 14.41&nbsp; &nbsp; 1.80&nbsp; &nbsp; 7.25&nbsp;&nbsp; [B] [COLOR=#0000cd]7[/COLOR]&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp; [/B]7[B][COLOR=#0000cd]13[/COLOR]&nbsp; &nbsp; [/B].0972&nbsp; &nbsp; 10.29&nbsp; &nbsp; 1.29&nbsp; &nbsp; 5.45&nbsp;&nbsp; [B] [COLOR=#0000cd]5[/COLOR]&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp; [/B]5[B][COLOR=#0000cd]12[/COLOR]&nbsp; &nbsp; [/B].1157&nbsp; &nbsp;&nbsp; 8.64&nbsp; &nbsp; 1.08&nbsp; &nbsp; 4.16&nbsp;&nbsp; [B] [COLOR=#0000cd]4[/COLOR]&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp; [/B]4[B][COLOR=#0000cd]11[/COLOR]&nbsp; &nbsp; [/B].1250&nbsp; &nbsp;&nbsp; 8&nbsp; &nbsp; &nbsp;&nbsp; 1&nbsp; &nbsp; &nbsp;&nbsp; 3.08&nbsp;&nbsp; [B] [COLOR=#0000cd]3[/COLOR]&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp; [/B]3[B][COLOR=#0000cd]10[/COLOR]&nbsp; &nbsp; [/B].1250&nbsp; &nbsp;&nbsp; 8&nbsp; &nbsp; &nbsp;&nbsp; 1&nbsp; &nbsp; &nbsp;&nbsp; 2.08&nbsp;&nbsp; [B] [COLOR=#0000cd]2[/COLOR]&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp; [/B]2[B][COLOR=#0000cd] 9[/COLOR]&nbsp; &nbsp; [/B].1157&nbsp; &nbsp;&nbsp; 8.64&nbsp; &nbsp; 1.08&nbsp; &nbsp; 1.08&nbsp;&nbsp; [B] [COLOR=#0000cd]1[/COLOR][/B]&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp; 1[B][COLOR=#0000cd] 8[/COLOR]&nbsp; &nbsp; [/B].0972&nbsp; &nbsp; &nbsp; ...&nbsp; &nbsp;&nbsp; ...&nbsp; &nbsp; 0&nbsp; &nbsp; &nbsp; [B] [COLOR=#0000cd]0[/COLOR]&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp; [/B]0[B] 7[/B]&nbsp; &nbsp; .0694&nbsp;[B]6[/B]&nbsp; &nbsp; .0463&nbsp;[B]5[/B]&nbsp; &nbsp; .0278&nbsp;[B]4[/B]&nbsp; &nbsp; .0139&nbsp;[B]3[/B]&nbsp; &nbsp; .0046[/CODE]</blockquote>

[QUOTE="Yaarel, post: 7252929, member: 58172"] Here is the math behind the point method to customize an ability score array. For example, to buy a 16 costs 14 points. The official ability score array (15 14 13 12 10 8) costs 27 points total. With this budget, it is possible to buy a 16 (costing 14 points), even a 17 (costing 23 points). But to buy an 18 (costing 50 points) is beyond the 27 point budget. [FONT=courier new][CODE] Calculations for Ability Score Point Cost [B]3d6 Freq 1/Freq x 1/8 Sum Round Down Official[/B] [B] [COLOR=#0000cd]18[/COLOR] [/B].0046 217.39 27.17 50.61 [B][COLOR=#0000cd]50[/COLOR] [/B] [B][COLOR=#0000cd]17[/COLOR] [/B].0139 71.94 8.99 23.44 [B][COLOR=#0000cd]23[/COLOR] [/B] [B][COLOR=#0000cd]16[/COLOR] [/B].0278 35.97 4.50 14.45 [B][COLOR=#0000cd]14[/COLOR] [/B] [B][COLOR=#0000cd]15[/COLOR] [/B].0463 21.60 2.70 9.95 [B] [COLOR=#0000cd]9[/COLOR] [/B]9 [B][COLOR=#0000cd]14[/COLOR] [/B].0694 14.41 1.80 7.25 [B] [COLOR=#0000cd]7[/COLOR] [/B]7 [B][COLOR=#0000cd]13[/COLOR] [/B].0972 10.29 1.29 5.45 [B] [COLOR=#0000cd]5[/COLOR] [/B]5 [B][COLOR=#0000cd]12[/COLOR] [/B].1157 8.64 1.08 4.16 [B] [COLOR=#0000cd]4[/COLOR] [/B]4 [B][COLOR=#0000cd]11[/COLOR] [/B].1250 8 1 3.08 [B] [COLOR=#0000cd]3[/COLOR] [/B]3 [B][COLOR=#0000cd]10[/COLOR] [/B].1250 8 1 2.08 [B] [COLOR=#0000cd]2[/COLOR] [/B]2[B] [COLOR=#0000cd] 9[/COLOR] [/B].1157 8.64 1.08 1.08 [B] [COLOR=#0000cd]1[/COLOR][/B] 1[B] [COLOR=#0000cd] 8[/COLOR] [/B].0972 ... ... 0 [B] [COLOR=#0000cd]0[/COLOR] [/B]0 [B] 7[/B] .0694 [B]6[/B] .0463 [B]5[/B] .0278 [B]4[/B] .0139 [B]3[/B] .0046 [/CODE][/FONT] [/QUOTE]

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