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General Tabletop Discussion
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Dice Bucket Engines - *why*?
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<blockquote data-quote="The Crimson Binome" data-source="post: 7235000" data-attributes="member: 6775031"><p>At least in theory, rolling a large number of dice gives the <em>possibility</em> of an uncertain outcome, since even rolling a hundred dice <em>could</em> result in no successes. Statistically speaking, though, things will very quickly converge to the average as you roll larger numbers of dice. If you want randomness and unpredictable results, then it's better to stick with a d20 or percentile system.</p><p></p><p>If you <em>don't</em> want randomness, though, then a bucket of dice can really help you with that. Something that D&D doesn't really allow for is the Batman vs Army of Mooks scenario, where we <em>expect</em> Batman to get through every enemy untouched. For as long as you have that natural 20 as a safety valve against certainty - or even worse, Bounded Accuracy - Batman will fall to a reasonable number of mooks in just a straight fight. And of course, it wouldn't be much fun if we simply disposed of that rule, because then we would know with absolute certainty that Batman is invincible. The dice bucket engine will allow us to stat out each mook with maybe six dice, while Batman has twenty dice (or more), and we don't <em>know</em> that Batman will be perfectly safe the entire time... but he probably will be. It disguises the amount of uncertainty involved.</p><p></p><p>That's still somewhat of a secondary benefit, though. The major benefit is just that it gives a better distribution of probabilities <em>around</em> the average. If you are rolling fourteen dice and need five successes, then you are very likely to succeed by a margin of two points, but there's a smaller chance that you succeed by a margin of one or three, and an even smaller chance that you succeed by a margin of zero or four. </p><p></p><p>If you're rolling d20 + 14 against a base DC of 20, then it's equally likely that you succeed by a margin of +3 or +13. Even though you are much more likely <em>to</em> succeed if your modifier is +14 rather than +4, the distribution is still flat and unpredictable.</p></blockquote><p></p>
[QUOTE="The Crimson Binome, post: 7235000, member: 6775031"] At least in theory, rolling a large number of dice gives the [I]possibility[/I] of an uncertain outcome, since even rolling a hundred dice [I]could[/I] result in no successes. Statistically speaking, though, things will very quickly converge to the average as you roll larger numbers of dice. If you want randomness and unpredictable results, then it's better to stick with a d20 or percentile system. If you [I]don't[/I] want randomness, though, then a bucket of dice can really help you with that. Something that D&D doesn't really allow for is the Batman vs Army of Mooks scenario, where we [I]expect[/I] Batman to get through every enemy untouched. For as long as you have that natural 20 as a safety valve against certainty - or even worse, Bounded Accuracy - Batman will fall to a reasonable number of mooks in just a straight fight. And of course, it wouldn't be much fun if we simply disposed of that rule, because then we would know with absolute certainty that Batman is invincible. The dice bucket engine will allow us to stat out each mook with maybe six dice, while Batman has twenty dice (or more), and we don't [I]know[/I] that Batman will be perfectly safe the entire time... but he probably will be. It disguises the amount of uncertainty involved. That's still somewhat of a secondary benefit, though. The major benefit is just that it gives a better distribution of probabilities [I]around[/I] the average. If you are rolling fourteen dice and need five successes, then you are very likely to succeed by a margin of two points, but there's a smaller chance that you succeed by a margin of one or three, and an even smaller chance that you succeed by a margin of zero or four. If you're rolling d20 + 14 against a base DC of 20, then it's equally likely that you succeed by a margin of +3 or +13. Even though you are much more likely [I]to[/I] succeed if your modifier is +14 rather than +4, the distribution is still flat and unpredictable. [/QUOTE]
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