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<blockquote data-quote="tarchon" data-source="post: 772760" data-attributes="member: 5990">Didn't anybody think of searching the net for this?&nbsp; It's a very, very old FAQ, even been answered on this forum several times.<a href="http://www.fantasylibrary.com/lounge/diceprop.htm" target="_blank">http://www.fantasylibrary.com/lounge/diceprop.htm</a>is the 2nd one I came up with.Or, autoconvolve the probability mass function for the single die M times and you're done.&nbsp; I wouldn't waste time resolving it into tangled combinatoric expressions since you 're going to have to iterate whatever you do, and the autoconvolution approach is vastly more efficient if you want to generate the entire table, as well as having the advantage of being far simpler conceptually.BTW, pseudorandom number generation isn't rocket science either.&nbsp; Every contemporary OS exposes a PRNG in its basic API and it's 100% perfectly adequate for rolling dice.&nbsp; If you're some affected computer science nerd who requires a guaranteed 2^32 cycle PRNG for slaying bugbears and you think the documentation of your favorite API is lying to you, you can even crack open Numerical Recipes and write the 5 lines of code it takes to do it.&nbsp; No need to hire a $100/hr consultant, though I'm up for it if you want to pay me.</blockquote>

[QUOTE="tarchon, post: 772760, member: 5990"] Didn't anybody think of searching the net for this? It's a very, very old FAQ, even been answered on this forum several times. [url]http://www.fantasylibrary.com/lounge/diceprop.htm[/url] is the 2nd one I came up with. Or, autoconvolve the probability mass function for the single die M times and you're done. I wouldn't waste time resolving it into tangled combinatoric expressions since you 're going to have to iterate whatever you do, and the autoconvolution approach is vastly more efficient if you want to generate the entire table, as well as having the advantage of being far simpler conceptually. BTW, pseudorandom number generation isn't rocket science either. Every contemporary OS exposes a PRNG in its basic API and it's 100% perfectly adequate for rolling dice. If you're some affected computer science nerd who requires a guaranteed 2^32 cycle PRNG for slaying bugbears and you think the documentation of your favorite API is lying to you, you can even crack open Numerical Recipes and write the 5 lines of code it takes to do it. No need to hire a $100/hr consultant, though I'm up for it if you want to pay me. [/QUOTE]

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