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Break this House Rule: Advantage(s) can stack
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<blockquote data-quote="Esker" data-source="post: 7634069" data-attributes="member: 6966824"><p>One consequence of the skewed distribution of die results that happens when we have advantage is that mechanisms like precision attack (or bardic inspiration) that let us add a die roll to a d20 roll become better, since when the distribution is skewed, misses become more and more likely to be near misses, and therefore we will more often have outcomes that these extra dice can convert to successes. If we get to add a d10 to our roll, for example, we will automatically convert a failure-by-1 to a success; we have a 9/10 chance of converting a failure-by-2, etc. With advantage, failure-by-1 is more likely than failure-by-2, which is more likely than failure-by-3, etc.</p><p></p><p>On average, if we have a d10 in our pocket that we can add to a roll when we fall short (as a Lvl 11 Battlemaster with precision attack), here's the combined chance that we wind up with a success that would have otherwise been a failure:</p><p></p><p><img src="https://imgur.com/7ZZgrSH.jpg" alt="" class="fr-fic fr-dii fr-draggable " data-size="" style="" /></p><p></p><p>Factoring that into the baseline chance of success, here's the bottom line success rate for different target rolls (before any modifiers), and different numbers of d20s, assuming we get to add a d10 to our roll</p><p></p><p><img src="https://imgur.com/Tij42C1.jpg" alt="" class="fr-fic fr-dii fr-draggable " data-size="" style="" /></p><p>So, going back to the example where we needed a natural 15 or better to hit an enemy, we're already at a 90% chance of hitting with elven accuracy and precision attack; extra dice can't do that much more. So for our hypothetical all-out first round nova assassin/paladin/fighter, if we're not increasing our chance to crit, it's far better to invest in more damage dice and more attacks than to pour resources into chasing ever-diminishing returns of stacking advantage on top of advantage.</p></blockquote><p></p>
[QUOTE="Esker, post: 7634069, member: 6966824"] One consequence of the skewed distribution of die results that happens when we have advantage is that mechanisms like precision attack (or bardic inspiration) that let us add a die roll to a d20 roll become better, since when the distribution is skewed, misses become more and more likely to be near misses, and therefore we will more often have outcomes that these extra dice can convert to successes. If we get to add a d10 to our roll, for example, we will automatically convert a failure-by-1 to a success; we have a 9/10 chance of converting a failure-by-2, etc. With advantage, failure-by-1 is more likely than failure-by-2, which is more likely than failure-by-3, etc. On average, if we have a d10 in our pocket that we can add to a roll when we fall short (as a Lvl 11 Battlemaster with precision attack), here's the combined chance that we wind up with a success that would have otherwise been a failure: [IMG]https://imgur.com/7ZZgrSH.jpg[/IMG] Factoring that into the baseline chance of success, here's the bottom line success rate for different target rolls (before any modifiers), and different numbers of d20s, assuming we get to add a d10 to our roll [IMG]https://imgur.com/Tij42C1.jpg[/IMG] So, going back to the example where we needed a natural 15 or better to hit an enemy, we're already at a 90% chance of hitting with elven accuracy and precision attack; extra dice can't do that much more. So for our hypothetical all-out first round nova assassin/paladin/fighter, if we're not increasing our chance to crit, it's far better to invest in more damage dice and more attacks than to pour resources into chasing ever-diminishing returns of stacking advantage on top of advantage. [/QUOTE]
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