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Human Heroic Effort versus Elven Accuracy
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<blockquote data-quote="DracoSuave" data-source="post: 5321711" data-attributes="member: 71571"><p>Comparing the two mechanically:</p><p></p><p>Understand that you only get to use each once. We assume you are using them when it is to your benefit to do so.</p><p></p><p>Also, we're assuming that you're using it on an attack roll. It's trivial which one is better for saves.</p><p></p><p>Heroic Effort is used only when the player knows his attack roll is 4 or less away from hitting. Therefore, when it is used, it is always 100% effective. As well, assuming a non-trivial combat (all attack difficulties are between 5 and 15 on the d20 rolls) then this will occur for 1/5 of all rolls, regardless of the difficulty of attack.</p><p></p><p>Assuming a combat lasts n rounds that means that the chance of it coming into use that encounter is equal to...</p><p></p><p>[(5^n)-(4^n)]/(5^n)</p><p></p><p>At six rounds that's 11529/15625 or 74% chance of that power turning a hit into a miss at some time during a 6 round encounter. Longer encounters favor this power.</p><p></p><p>On the other hand, Elven Accuracy is only concerned with you missing. Missing is something that occurs in 1-(1-p)^n) of all encounters, and gives you a p chance to score a hit on the attacked creature, where p is your base probability to hit.</p><p></p><p>Thusly, it will change a hit to a miss in p-p(1-p)^n if all encounters. </p><p></p><p><a href="https://spreadsheets.google.com/ccc?key=0AuRptOB9DAKNdGRwS3VVckNwR3Y1Zndja0J5MkdDU0E&hl=en&authkey=CPzaroYG" target="_blank">This is a spreadsheet showing the calculations for both Heroic Effort and Elven Accuracy.</a></p><p></p><p>Generally, Heroic Effort will be more useful than Elven Accuracy.</p><p></p><p>PS: More accurately, Heroic Effort will be more useful if you're the type of player/group that keeps track of enemy defenses as you poke and prod them through the fight. If you are not, then Heroic Effort's 100% effectiveness will not actually be 100%. As well, Elven Accuracy has feats that allow it to gain the +2 bonus (which allows it to work as Heroic Effort does in being a 100% certain miss-to-hit device) and other variable bonuses which allow it to defy those base odds.</p></blockquote><p></p>
[QUOTE="DracoSuave, post: 5321711, member: 71571"] Comparing the two mechanically: Understand that you only get to use each once. We assume you are using them when it is to your benefit to do so. Also, we're assuming that you're using it on an attack roll. It's trivial which one is better for saves. Heroic Effort is used only when the player knows his attack roll is 4 or less away from hitting. Therefore, when it is used, it is always 100% effective. As well, assuming a non-trivial combat (all attack difficulties are between 5 and 15 on the d20 rolls) then this will occur for 1/5 of all rolls, regardless of the difficulty of attack. Assuming a combat lasts n rounds that means that the chance of it coming into use that encounter is equal to... [(5^n)-(4^n)]/(5^n) At six rounds that's 11529/15625 or 74% chance of that power turning a hit into a miss at some time during a 6 round encounter. Longer encounters favor this power. On the other hand, Elven Accuracy is only concerned with you missing. Missing is something that occurs in 1-(1-p)^n) of all encounters, and gives you a p chance to score a hit on the attacked creature, where p is your base probability to hit. Thusly, it will change a hit to a miss in p-p(1-p)^n if all encounters. [URL="https://spreadsheets.google.com/ccc?key=0AuRptOB9DAKNdGRwS3VVckNwR3Y1Zndja0J5MkdDU0E&hl=en&authkey=CPzaroYG"]This is a spreadsheet showing the calculations for both Heroic Effort and Elven Accuracy.[/URL] Generally, Heroic Effort will be more useful than Elven Accuracy. PS: More accurately, Heroic Effort will be more useful if you're the type of player/group that keeps track of enemy defenses as you poke and prod them through the fight. If you are not, then Heroic Effort's 100% effectiveness will not actually be 100%. As well, Elven Accuracy has feats that allow it to gain the +2 bonus (which allows it to work as Heroic Effort does in being a 100% certain miss-to-hit device) and other variable bonuses which allow it to defy those base odds. [/QUOTE]
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Human Heroic Effort versus Elven Accuracy
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