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Any Math Geeks out there that like to mess with Dice averages?
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<blockquote data-quote="Nathan" data-source="post: 351288" data-attributes="member: 1342"><p><strong>Re: Re: Re: Re: Wow!!! I need to take some math courses.</strong></p><p></p><p></p><p></p><p>These are my results for the number of possibilities to get a specific stat total with the standard PHB method:</p><p></p><p> 62, 1758002851779120</p><p> 63, 13067562306614040</p><p> 64, 42504488361874560</p><p> 65, 83366785260726432</p><p> 66, 119317385435361838</p><p> 67, 146703491711454048</p><p> 68, 171557948806228932</p><p> 69, 195842290079752700</p><p> 70, 218271126449107848</p><p> 71, 237556961730109872</p><p> 72, 252538917849145962</p><p> 73, 262303538499701028</p><p> 74, 266278157788793580</p><p> 75, 264281734615212252</p><p> 76, 256526875796414748</p><p> 77, 243576563774681628</p><p> 78, 226268210788111323</p><p> 79, 205621686925367784</p><p> 80, 182747514027825732</p><p> 81, 158764927015493034</p><p> 82, 134735665709136276</p><p> 83, 111611073291869448</p><p> 84, 90170401635963117</p><p> 85, 70981787902311492</p><p> 86, 54388079316496092</p><p> 87, 40516222817346144</p><p> 88, 29305985194245564</p><p> 89, 20551770003405060</p><p> 90, 13950482138219964</p><p> 91, 9148751839925640</p><p> 92, 5784144222402864</p><p> 93, 3516878375780068</p><p> 94, 2050638663715788</p><p> 95, 1142896970826192</p><p> 96, 606507608137294</p><p> 97, 305063878524732</p><p> 98, 144639647733744</p><p> 99, 64213196762196</p><p> 100, 26473282400736</p><p> 101, 10029824562924</p><p> 102, 3444963710553</p><p> 103, 1053364723236</p><p> 104, 279526350600</p><p> 105, 61991152146</p><p> 106, 10810031904</p><p> 107, 1323248724</p><p> 108, 85766121</p><p></p><p>These numbers differ quite a lot from yours... is the factor 10^14 really the correct one?</p><p></p><p>Let us look at 108 for example: There are 21 possibilities to get an 18 with 4d6, drop lowest. So there are 21^6 = 85766121 possibilities to get an 108 with the standard PHB method.</p></blockquote><p></p>
[QUOTE="Nathan, post: 351288, member: 1342"] [b]Re: Re: Re: Re: Wow!!! I need to take some math courses.[/b] These are my results for the number of possibilities to get a specific stat total with the standard PHB method: 62, 1758002851779120 63, 13067562306614040 64, 42504488361874560 65, 83366785260726432 66, 119317385435361838 67, 146703491711454048 68, 171557948806228932 69, 195842290079752700 70, 218271126449107848 71, 237556961730109872 72, 252538917849145962 73, 262303538499701028 74, 266278157788793580 75, 264281734615212252 76, 256526875796414748 77, 243576563774681628 78, 226268210788111323 79, 205621686925367784 80, 182747514027825732 81, 158764927015493034 82, 134735665709136276 83, 111611073291869448 84, 90170401635963117 85, 70981787902311492 86, 54388079316496092 87, 40516222817346144 88, 29305985194245564 89, 20551770003405060 90, 13950482138219964 91, 9148751839925640 92, 5784144222402864 93, 3516878375780068 94, 2050638663715788 95, 1142896970826192 96, 606507608137294 97, 305063878524732 98, 144639647733744 99, 64213196762196 100, 26473282400736 101, 10029824562924 102, 3444963710553 103, 1053364723236 104, 279526350600 105, 61991152146 106, 10810031904 107, 1323248724 108, 85766121 These numbers differ quite a lot from yours... is the factor 10^14 really the correct one? Let us look at 108 for example: There are 21 possibilities to get an 18 with 4d6, drop lowest. So there are 21^6 = 85766121 possibilities to get an 108 with the standard PHB method. [/QUOTE]
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