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Lokarin 05/25/22 5:46:46 PM #1: |
I'm trying to figure this out. Ok, you have some STRENGTH (S) and some enemy TOUGHNESS (T); there are some fiat numbers in place. If your S = their T your chance to hit is 50%. (roll a 4+) If your S is over their T, your chance to hit is 66% (roll a 3) and if under it's 33% (roll a 5+). Same goes for double, If your S is twice their T your chance to hit is a 2+ (83%) and if half it's 16% (roll a 6) ... Yes, this is the rules of Warhammer 40k ... Anyways. What I'm trying to figure out is how to granularize this... but it seems almost impossible to granularize; In the rules as written if your S is 4 and their T is 4 you hit at 50%, 4=4' But all ranges between 4.01 and 7.99 would ALSO be in the 3+ category. I want to granularize it so that when you are at half you still need a 6, if you are equal it's still 50/50 (4+) and double it's still a 2+ (83%) with the 3+ and 5+ options being in there somewhere... Yaknow? --- "Salt cures Everything!" My YouTube: https://www.youtube.com/user/Nirakolov/videos ... Copied to Clipboard!
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VampireCoyote 05/25/22 5:47:21 PM #2: |
Math is dumb. Half of it isnt even real! --- She/her ... Copied to Clipboard!
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ParanoidObsessive 05/25/22 6:38:02 PM #3: |
You lost me after "flat numbers". --- "Wall of Text'D!" --- oldskoolplayr76 "POwned again." --- blight family ... Copied to Clipboard!
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Sahuagin 05/26/22 2:11:35 AM #4: |
Lokarin posted... In the rules as written if your S is 4 and their T is 4 you hit at 50%, 4=4' But all ranges between 4.01 and 7.99 would ALSO be in the 3+ category.did you actually state what you're looking for here? you say "I want to granularize it so that... [everything is still the same]". --- The truth basks in scrutiny. http://i.imgur.com/GMouTGs.jpg http://projecteuler.net/profile/Sahuagin.png ... Copied to Clipboard!
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Lokarin 05/26/22 2:07:16 PM #5: |
Sahuagin posted... did you actually state what you're looking for here? you say "I want to granularize it so that... [everything is still the same]". My brain fell out What I want. Ok, a roll of 1 doesn't count since it's an autofail. I want to take these data points: A 2 = 83% success, or 0.8333, 3 = 0.6666, 4=0.5, 5=0.3333 and 6=0.1666, since that's the normal pattern.... and make a formula so that I could figure out what would happen if you rolled a, say 4.1 or a 2.5 or whatever. --- "Salt cures Everything!" My YouTube: https://www.youtube.com/user/Nirakolov/videos ... Copied to Clipboard!
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Sahuagin 05/27/22 12:17:59 AM #6: |
Lokarin posted... My brain fell outI think part of the problem is that the in-betweens are not defined. they could slope in all kinds of ways (possibly infinite ways). it looks like there are sites that can do this for you. eg: mycurvefit.com it seems like it's possible to do this linearly, and the resulting formula is y = (x - 1) / 6 I'm not sure if you have something backwards though saying that 1 = 0% chance of success but 2 = 83% chance of success. it makes more sense if 2 is an 83% chance of failure, and then 1 = 0 still fits linearly. (1 - 1) / 6 = 0/6 = 0 (2 - 1) / 6 = 1/6 = 0.166... (3 - 1) / 6 = 2/6 = 0.33... (4 - 1) / 6 = 3/6 = 0.5 (5 - 1) / 6 = 4/6 = 0.66... (6 - 1) / 6 = 5/6 = 0.833... even if you have something slightly different in mind this is probably a good enough start that you could modify it as needed. the key thing here I think is that all of the %s are just x/6 values. (unless you're looking for this in terms of S and T...?) --- The truth basks in scrutiny. http://i.imgur.com/GMouTGs.jpg http://projecteuler.net/profile/Sahuagin.png ... Copied to Clipboard!
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Lokarin 05/27/22 12:50:21 AM #7: |
Sahuagin posted... I think part of the problem is that the in-betweens are not defined. they could slope in all kinds of ways (possibly infinite ways). Basically, I wanna take the basic warhammer 40k math and make it, like, so you have stats... ya, i just wanted to make sure something with decimals worked out... using y = (x-1)/6 then if a 4.2 were rolled it would have a success rate of 0.5333, which is in line with what I was trying to figure ... yaknow when I was back in school I coulda done stuff like this in my sleep :< --- "Salt cures Everything!" My YouTube: https://www.youtube.com/user/Nirakolov/videos ... Copied to Clipboard!
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