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General Tabletop Discussion
*Dungeons & Dragons
The Overkill Damage Fallacy
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<blockquote data-quote="FrogReaver" data-source="post: 7618982" data-attributes="member: 6795602"><p>I did not. As already mentioned, chance to kill by round X doesn't help with computing average rounds to kill. This figure is the more important one for evaluating the 2 PC's. </p><p></p><p>I account for the killing being done on round 1 in my probability for round 1. I account for the killing being done on round 2 in my probability for round 2. I am simply not interested in the chance the enemy is dead by round X. I'm not sure why you think looking at cumulative probabilities instead of exact value probabilities is better.</p><p></p><p> </p><p></p><p>No problem with your math. It's the application. Mine shows what I claim it shows. Yours does as well. Neither of us did our calculations wrong but what I calculated was more useful than what you calculated. Average rounds to kill is a much more useful stat than a big cumulative probability distribution. It provides a summarization of the information that is easy for everyone to compare.</p><p></p><p></p><p></p><p>Tell me the enemy hp, chance to hit and damage and I'll compute the average rounds to win the fight. Then we can actually compare those 2 characters in those 2 scenarios to see who is killing faster.</p><p></p><p>By the way, I check myself by ensuring all my by round percentages add to 1. It's an easy check to perform.</p><p></p><p> </p><p></p><p>That's to be expected. It still doesn't quantify who wins the fight faster.</p><p></p><p></p><p></p><p>No issues there. I'm hoping to find a rather simple formula I can repeatedly use to answer the question overall. It's a work in progress but i'm making good strides.</p></blockquote><p></p>
[QUOTE="FrogReaver, post: 7618982, member: 6795602"] I did not. As already mentioned, chance to kill by round X doesn't help with computing average rounds to kill. This figure is the more important one for evaluating the 2 PC's. I account for the killing being done on round 1 in my probability for round 1. I account for the killing being done on round 2 in my probability for round 2. I am simply not interested in the chance the enemy is dead by round X. I'm not sure why you think looking at cumulative probabilities instead of exact value probabilities is better. No problem with your math. It's the application. Mine shows what I claim it shows. Yours does as well. Neither of us did our calculations wrong but what I calculated was more useful than what you calculated. Average rounds to kill is a much more useful stat than a big cumulative probability distribution. It provides a summarization of the information that is easy for everyone to compare. Tell me the enemy hp, chance to hit and damage and I'll compute the average rounds to win the fight. Then we can actually compare those 2 characters in those 2 scenarios to see who is killing faster. By the way, I check myself by ensuring all my by round percentages add to 1. It's an easy check to perform. That's to be expected. It still doesn't quantify who wins the fight faster. No issues there. I'm hoping to find a rather simple formula I can repeatedly use to answer the question overall. It's a work in progress but i'm making good strides. [/QUOTE]
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