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How do you calculate %xHKO?
#4
Kortestanov Wrote:like, to 95% 2hko the monster above (100 hp) you will need the damage range required to 95% 1hko a monster with 50 hp.

The percentages won't match up though, if you combine multiple uniform distributions (eg. rolling dice) they end up coming closer to a normal distribution. Like if you roll 1d6*6 (ie. it has 6 12 18 24 30 36 on the faces) you only have a 95% chance of rolling at least 6 (1/6). 2d6*3 then you have a 95% chance of getting at least 9 (1/4). 3d6*2 you have 95% chance of getting 12 (1/3 of your max). These numbers are approaching the bottom 50% of the range. With 6d6 it's around 14.

The reason this happens is because if in order to fail, you need to be in the bottom 5% twice, or 6% and 4%, or 7% and 3%, etc. which is combined probability of 0.05*0.05 + 0.06*0.04 etc., which is smaller than 5%. So the actual % of the range increases. (like 10%+10%, 9%+11%, etc.) until the total probability is only 5% again.

The more hits it takes, the closer the 95% probability gets to the bottom 1/2 of your damage range. If (like with TT) it takes 12 independent hits to 4hko, then the 95% chance of doing 4hko or better only requires the average per hit to be around 1/12 of the monster's hp.


So for classes with multiple hits, you could generally assume around 40-45% of your range to have a 95% chance to KO at that rate. It's more difficult for classes that actually only hit 2-4 times, especially if those hits can crit or have other damage mods applied individually.
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Messages In This Thread
How do you calculate %xHKO? - by Dusk - 2009-08-14, 11:40 AM
How do you calculate %xHKO? - by Kortestanov - 2009-08-14, 12:45 PM
How do you calculate %xHKO? - by Shidoshi - 2009-08-14, 01:59 PM
How do you calculate %xHKO? - by Stereo - 2009-08-14, 02:00 PM
How do you calculate %xHKO? - by KaidaTan - 2009-08-14, 05:29 PM
How do you calculate %xHKO? - by Russt - 2009-08-14, 05:41 PM
How do you calculate %xHKO? - by modular - 2009-08-14, 06:59 PM
How do you calculate %xHKO? - by Russt - 2009-08-14, 07:01 PM
How do you calculate %xHKO? - by Shidoshi - 2009-08-14, 08:45 PM
How do you calculate %xHKO? - by singularity - 2009-08-15, 06:23 AM
How do you calculate %xHKO? - by Russt - 2009-08-15, 12:56 PM
How do you calculate %xHKO? - by Shady - 2009-08-15, 04:30 PM
How do you calculate %xHKO? - by singularity - 2009-08-18, 12:19 AM
How do you calculate %xHKO? - by Stereo - 2009-08-18, 12:29 AM
How do you calculate %xHKO? - by Russt - 2009-08-18, 12:39 AM
How do you calculate %xHKO? - by Dusk - 2009-08-18, 12:57 AM
How do you calculate %xHKO? - by modular - 2009-08-18, 12:57 AM
How do you calculate %xHKO? - by Russt - 2009-08-18, 01:03 AM
How do you calculate %xHKO? - by Dusk - 2009-08-18, 01:21 AM
How do you calculate %xHKO? - by Dusk - 2009-08-23, 01:45 PM
How do you calculate %xHKO? - by Russt - 2009-08-23, 01:56 PM
How do you calculate %xHKO? - by singularity - 2009-08-24, 10:38 PM
How do you calculate %xHKO? - by Russt - 2009-08-24, 10:51 PM
How do you calculate %xHKO? - by Noah - 2009-08-26, 04:38 PM
How do you calculate %xHKO? - by rainbowBean - 2009-12-14, 08:22 AM
How do you calculate %xHKO? - by KaidaTan - 2009-12-14, 09:07 AM
How do you calculate %xHKO? - by Stereo - 2009-12-14, 12:19 PM
How do you calculate %xHKO? - by KaidaTan - 2009-12-14, 04:19 PM
How do you calculate %xHKO? - by shouri - 2009-12-14, 04:42 PM
How do you calculate %xHKO? - by KaidaTan - 2009-12-14, 05:02 PM
How do you calculate %xHKO? - by Russt - 2009-12-14, 08:46 PM
How do you calculate %xHKO? - by shouri - 2009-12-14, 08:56 PM
How do you calculate %xHKO? - by Noah - 2009-12-14, 09:32 PM
How do you calculate %xHKO? - by Stereo - 2009-12-14, 09:33 PM
How do you calculate %xHKO? - by Russt - 2009-12-14, 09:40 PM
How do you calculate %xHKO? - by KaidaTan - 2009-12-14, 10:32 PM
How do you calculate %xHKO? - by rainbowBean - 2009-12-14, 11:01 PM
How do you calculate %xHKO? - by Russt - 2009-12-15, 03:50 AM
How do you calculate %xHKO? - by KaidaTan - 2009-12-15, 03:54 AM
How do you calculate %xHKO? - by Stereo - 2009-12-15, 03:51 PM
How do you calculate %xHKO? - by Noah - 2009-12-16, 09:28 PM
How do you calculate %xHKO? - by Stereo - 2010-01-18, 09:17 PM
How do you calculate %xHKO? - by Jellyflower - 2010-02-23, 08:30 PM
How do you calculate %xHKO? - by Jellyflower - 2010-02-23, 10:18 PM
How do you calculate %xHKO? - by KaidaTan - 2010-02-23, 10:34 PM
How do you calculate %xHKO? - by Russt - 2010-02-23, 10:42 PM
How do you calculate %xHKO? - by Noah - 2010-03-06, 06:51 AM
How do you calculate %xHKO? - by Russt - 2010-03-06, 09:08 AM
How do you calculate %xHKO? - by Shidoshi - 2010-03-06, 10:40 AM
How do you calculate %xHKO? - by Russt - 2010-03-06, 10:50 AM
How do you calculate %xHKO? - by Stereo - 2010-03-06, 11:42 AM
How do you calculate %xHKO? - by Noah - 2010-03-06, 12:39 PM
How do you calculate %xHKO? - by Russt - 2010-03-06, 02:57 PM
How do you calculate %xHKO? - by Noah - 2010-03-08, 12:00 PM
How do you calculate %xHKO? - by Kortestanov - 2010-05-03, 08:39 AM
How do you calculate %xHKO? - by Nikkey - 2010-05-03, 12:11 PM
How do you calculate %xHKO? - by Kortestanov - 2010-05-03, 02:16 PM
How do you calculate %xHKO? - by KaidaTan - 2010-05-03, 02:24 PM
How do you calculate %xHKO? - by shouri - 2010-05-03, 02:24 PM
How do you calculate %xHKO? - by Nikkey - 2010-05-03, 02:56 PM

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