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Average of exploding dice?
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<blockquote data-quote="Driddle" data-source="post: 3910124" data-attributes="member: 3447"><p>It's the averaging aspect that would seem to make this pretty simple to figure out, as I understand it. Of course I may be wrong, because I'm no longer a mathematician and I haven't put a LOT of thought into it...</p><p></p><p>But we're looking at an average die value of 3.5, right? And then 1/6th of that -- representing an "exploding" result. And then 1/6th of 1/6th of 3.5 on top of that. And 1/6th of 1/6th of 1/6th on top of that, etc. It doesn't take long for the iterations to whittle down to an insignificant fractional difference.</p><p></p><p>Eh?</p></blockquote><p></p>
[QUOTE="Driddle, post: 3910124, member: 3447"] It's the averaging aspect that would seem to make this pretty simple to figure out, as I understand it. Of course I may be wrong, because I'm no longer a mathematician and I haven't put a LOT of thought into it... But we're looking at an average die value of 3.5, right? And then 1/6th of that -- representing an "exploding" result. And then 1/6th of 1/6th of 3.5 on top of that. And 1/6th of 1/6th of 1/6th on top of that, etc. It doesn't take long for the iterations to whittle down to an insignificant fractional difference. Eh? [/QUOTE]
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