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Probability Math for Resistance (help!)
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<blockquote data-quote="keterys" data-source="post: 4957181" data-attributes="member: 43019"><p>Okay, I'm working on an excel spreadsheet for monster damages and I want to be able to have it figure out the average damage for various levels of resistance... and I have no idea how to do that.</p><p></p><p>I do know that, for instance, 2d6 (avg 7) - 7 is _not_ average 0 though <img src="data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7" class="smilie smilie--sprite smilie--sprite2" alt=";)" title="Wink ;)" loading="lazy" data-shortname=";)" /></p><p></p><p>3d6-4 is 10.5 + 1/216, reflecting replacing the 1 damage _not_ lost in the 1 in 216 chance of 3 1s.</p><p></p><p>2d8-4 would be 9 - 4 + 2/64 (1/64 off by 2) and 2/64 (2/64 off by 1) I think.</p><p></p><p>So how do I express that in a spreadsheet... ideally I'd like to be able to enter the resistance in a separate cell, but I am okay having duplicate pages for resist 5, 10, 15 and doing the work myself if it's too manual to be completely variable but is still very fast.</p><p></p><p>I guess worst case scenario, a link to a site that gives me the average of an arbitrary dice and bonus/penalty that treats negatives as 0 would cover my needs.</p></blockquote><p></p>
[QUOTE="keterys, post: 4957181, member: 43019"] Okay, I'm working on an excel spreadsheet for monster damages and I want to be able to have it figure out the average damage for various levels of resistance... and I have no idea how to do that. I do know that, for instance, 2d6 (avg 7) - 7 is _not_ average 0 though ;) 3d6-4 is 10.5 + 1/216, reflecting replacing the 1 damage _not_ lost in the 1 in 216 chance of 3 1s. 2d8-4 would be 9 - 4 + 2/64 (1/64 off by 2) and 2/64 (2/64 off by 1) I think. So how do I express that in a spreadsheet... ideally I'd like to be able to enter the resistance in a separate cell, but I am okay having duplicate pages for resist 5, 10, 15 and doing the work myself if it's too manual to be completely variable but is still very fast. I guess worst case scenario, a link to a site that gives me the average of an arbitrary dice and bonus/penalty that treats negatives as 0 would cover my needs. [/QUOTE]
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