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Proficiency vs. Ability vs. Expertise
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<blockquote data-quote="Garthanos" data-source="post: 7644256" data-attributes="member: 82504"><p>There certainly should be visualized reasons behind the die rolls however it looks like someone who feels (subjective word) that the variation in performance caused by d20 exceeds what feels good/believable and or seems too much to emphasize fluke occurrences too much when one has a more steady controlled performance context. Allowing players to optionally make careful checks seems entirely low impact house rule to me like 3d6 or even 7 +d6 or 6+d8, 5+ d10, or similar if the circumstance seems reasonable (you could allow 3d6 to have a crit chance). </p><p></p><p></p><p><span style="color: #333333">How often does purely random chance determine the results is the complaint and that isnt found by computing a mean/median, it is how often the die rolls vary more than determined factors </span>however that too isnt good enough as <span style="color: #333333">arguably it only feels strange when random chance doesnt agree with a more deterministic result which makes it slightly different here is the formula for opposed d20s</span></p><p></p><p>n(n+1)/2 * 1/400</p><p></p><p>for a range where n = 11,+1 vs +8 = 16.5 percent</p><p>for a range of where n = 12, +1 vs +7 = 78 out of 400 (19.5 percent ) </p><p></p><p>this is how often extraneous factors are assumed to interject.</p><p></p><p>Admitting my math might be bad this morning...</p></blockquote><p></p>
[QUOTE="Garthanos, post: 7644256, member: 82504"] There certainly should be visualized reasons behind the die rolls however it looks like someone who feels (subjective word) that the variation in performance caused by d20 exceeds what feels good/believable and or seems too much to emphasize fluke occurrences too much when one has a more steady controlled performance context. Allowing players to optionally make careful checks seems entirely low impact house rule to me like 3d6 or even 7 +d6 or 6+d8, 5+ d10, or similar if the circumstance seems reasonable (you could allow 3d6 to have a crit chance). [COLOR=#333333]How often does purely random chance determine the results is the complaint and that isnt found by computing a mean/median, it is how often the die rolls vary more than determined factors [/COLOR]however that too isnt good enough as [COLOR=#333333]arguably it only feels strange when random chance doesnt agree with a more deterministic result which makes it slightly different here is the formula for opposed d20s[/COLOR] n(n+1)/2 * 1/400 for a range where n = 11,+1 vs +8 = 16.5 percent for a range of where n = 12, +1 vs +7 = 78 out of 400 (19.5 percent ) this is how often extraneous factors are assumed to interject. Admitting my math might be bad this morning... [/QUOTE]
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