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<blockquote data-quote="Asmor" data-source="post: 2180085" data-attributes="member: 1154">Well, doing the &quot;monte carlo&quot; approach of just rolling up a huge number of characters (in my case 1,000,000), here's what I got:30.446762Total iterations: 1145248Characters tossed: 145248Characters kept: 1000000Here's the code in case anyone's curious, behind a spoiler because there's really nothing new or interesting. If you want to use it to run more tests, just change the variable iterations.[code]package com.asmor.dnd;public class montecarlo {private static int d6() {&nbsp; &nbsp; return (int) Math.floor(Math.random()*6)+1;}private static int stat(int r1, int r2, int r3, int r4) {&nbsp; &nbsp; int dice[]=new int[4], smallest=0, i, toReturn=0;&nbsp; &nbsp; dice[0]=r1;&nbsp; &nbsp; dice[1]=r2;&nbsp; &nbsp; dice[2]=r3;&nbsp; &nbsp; dice[3]=r4;&nbsp; &nbsp; for (i=1; i&lt;4; i++) {&nbsp; &nbsp; &nbsp; &nbsp; if (dice[i]&lt;dice[smallest]) {&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; smallest=i;&nbsp; &nbsp; &nbsp; &nbsp; }&nbsp; &nbsp; }&nbsp; &nbsp; for (i=0; i&lt;4; i++) {&nbsp; &nbsp; &nbsp; &nbsp; if (i!=smallest) {&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; toReturn+=dice[i];&nbsp; &nbsp; &nbsp; &nbsp; }&nbsp; &nbsp; }&nbsp; &nbsp; return toReturn;}&nbsp; &nbsp; public static void main(String[] args) {int totalValue=0, iterations, iterate=0, tossed=0, kept=0, stats[]=new int[7], mods[]={-5, -5, -4, -4, -3, -3, -2, -2, -1, -1, 0, 0, 1, 1, 2, 2, 3, 3, 4}, i, toss, totalMod, pbv, cameUp[]=new int[19];int PBValues[]={0, 0, 0, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 8, 10, 13, 16};//Number of good character to generate:iterations=1000000;while (kept&lt;iterations) {&nbsp; &nbsp; iterate++;&nbsp; &nbsp; for (i=0; i&lt;6; i++) {&nbsp; &nbsp; &nbsp; &nbsp; stats[i]=stat(d6(), d6(), d6(), d6());&nbsp; &nbsp; }&nbsp; &nbsp; toss=1;&nbsp; &nbsp; totalMod=0;&nbsp; &nbsp; for (i=0; i&lt;6; i++) {&nbsp; &nbsp; &nbsp; &nbsp; if (stats[i]&gt;13) {&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; toss=0;&nbsp; &nbsp; &nbsp; &nbsp; }&nbsp; &nbsp; &nbsp; &nbsp; totalMod+=mods[stats[i]];&nbsp; &nbsp; }&nbsp; &nbsp; &nbsp; &nbsp; if (totalMod&lt;=0) {&nbsp; &nbsp; &nbsp; &nbsp; toss=1;&nbsp; &nbsp; }&nbsp; &nbsp; &nbsp; &nbsp; if (toss==0) {&nbsp; &nbsp; &nbsp; &nbsp; kept++;&nbsp; &nbsp; &nbsp; &nbsp; pbv=0;&nbsp; &nbsp; &nbsp; &nbsp; for (i=0; i&lt;6; i++) {&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; pbv+=PBValues[stats[i]];&nbsp; &nbsp; &nbsp; &nbsp; }&nbsp; &nbsp; &nbsp; &nbsp; totalValue+=pbv;&nbsp; &nbsp; } else if (toss==1) {&nbsp; &nbsp; &nbsp; &nbsp; tossed++;&nbsp; &nbsp; }}System.out.print((double)totalValue/(double)iterations+&quot;\n&quot;);System.out.print(&quot;Total iterations: &quot;+iterate+&quot;\nCharacters tossed: &quot;+tossed+&quot;\nCharacters kept: &quot;+kept+&quot;\n&quot;);}}[/code]Edit: Err... I tried to make that cool spoiler box thingie that hides everything, but instead it made all the text black. Is (spoiler) not the right tag?</blockquote>

[QUOTE="Asmor, post: 2180085, member: 1154"] Well, doing the "monte carlo" approach of just rolling up a huge number of characters (in my case 1,000,000), here's what I got: 30.446762 Total iterations: 1145248 Characters tossed: 145248 Characters kept: 1000000 Here's the code in case anyone's curious, behind a spoiler because there's really nothing new or interesting. If you want to use it to run more tests, just change the variable iterations. [code] package com.asmor.dnd; public class montecarlo { private static int d6() { return (int) Math.floor(Math.random()*6)+1; } private static int stat(int r1, int r2, int r3, int r4) { int dice[]=new int[4], smallest=0, i, toReturn=0; dice[0]=r1; dice[1]=r2; dice[2]=r3; dice[3]=r4; for (i=1; i<4; i++) { if (dice[i]<dice[smallest]) { smallest=i; } } for (i=0; i<4; i++) { if (i!=smallest) { toReturn+=dice[i]; } } return toReturn; } public static void main(String[] args) { int totalValue=0, iterations, iterate=0, tossed=0, kept=0, stats[]=new int[7], mods[]={-5, -5, -4, -4, -3, -3, -2, -2, -1, -1, 0, 0, 1, 1, 2, 2, 3, 3, 4}, i, toss, totalMod, pbv, cameUp[]=new int[19]; int PBValues[]={0, 0, 0, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 8, 10, 13, 16}; //Number of good character to generate: iterations=1000000; while (kept<iterations) { iterate++; for (i=0; i<6; i++) { stats[i]=stat(d6(), d6(), d6(), d6()); } toss=1; totalMod=0; for (i=0; i<6; i++) { if (stats[i]>13) { toss=0; } totalMod+=mods[stats[i]]; } if (totalMod<=0) { toss=1; } if (toss==0) { kept++; pbv=0; for (i=0; i<6; i++) { pbv+=PBValues[stats[i]]; } totalValue+=pbv; } else if (toss==1) { tossed++; } } System.out.print((double)totalValue/(double)iterations+"\n"); System.out.print("Total iterations: "+iterate+"\nCharacters tossed: "+tossed+"\nCharacters kept: "+kept+"\n"); } } [/code] Edit: Err... I tried to make that cool spoiler box thingie that hides everything, but instead it made all the text black. Is (spoiler) not the right tag? [/QUOTE]

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