Quote (HbSoe @ Nov 10 2012 08:00pm)
So, you wanna talk maths ? Alright, let's consider a rare helm them.
let's say it should roll dex, vita, life%, all res, crit, socket (in this order).
you mentionned there were 113 affixes, let's base ourselves on this.
dex can roll from 20 to 200. -> Chance to roll 200 = 1/(181*113)
vita can roll from 20 to 200. -> Chance to roll 200 = 1/(181*112)
life% can roll from 4 to 12. -> Chance to roll 12 = 1/(9*111)
all res can roll from 11 to 80. -> Chance to roll 80 = 1/(70*110)
crit can roll from 3% to 6%. -> Chance to roll 6% = 1/(7*109)
socket can roll or not. -> Chance to roll = 1/108
So a helm w/ 200 dex, 200 vita, 12% life, 80@ res, 6% cc and a socket has 1/2433516903465278400 chance to spawn.
Please tell me more about how rare this mempo is.
/e actually odds are a little higher, cause the affixes can roll in a different order, but whatever ...
Ok, a few things. First, this helm is an ilevel 63. Ilevel 63's have a specific affixes they can roll. That numbers (113) was based from that.
Next, every single stat is not just one affix, otherwise the total number of affixes would be MUCH lower.
There are ranges for each affix, and they are not all created equal. Take crit for example.
Critical Chance V Sawtooth 55 Critical Hit Chance Increased by 3.0%
Critical Chance VI Sawtooth 60 Critical Hit Chance Increased by 3.5%
Critical Chance VII Lacerating 61 Critical Hit Chance Increased by 4.0%
Critical Chance VIII Lacerating 62 Critical Hit Chance Increased by 4.5%
Critical Chance IX Flaying 63 Critical Hit Chance Increased by (5.0-6.0)%
Each of these is a CC affix that you can roll on an ilevel 63 helm. There are lower levels of CC, but they cannot be applied to an ilevel 63 helm, so they are not included in the 113 total.
So, if you roll a helm, you get a 5 in 113 chance to roll 3%+ CC, but a 1 in 113 to roll 5%+
If an item is going to roll 6% crit chance, then it has to roll the ilevel 63. That is 1 in 113, then to roll the 6% it has to roll 1 in 3 (5%, 5.5%, and 6% all with equal rolls once it hits the top tier). 1 in 339 helms will have 6% crit chance.
There are similar affixes for different stats, like AR, int, dex, str, life%, etc...but this is a mempo, and it has its own, unique defined ones for those (170-200 for the primary stats, 10-12% for life, 71-80 for AR)
Now, an absolutely perfect rare helm would be more rare than a perfect mempo by far, especially if you are comparing them 1 to 1.
A perfect rare helm would have to roll each stat individually as you stated, though the total number of affixes you would start with would be different. The 113 is taking into consideration that you cannot roll what is already on it, and, also, some legendaries can roll outside of the normal ranges on many affixes (below or above) for their ilevel. That is why you see strange required level 60 legendaries with things like 13 AR.
Also, some legendaries are farther limited by the prefix-suffix limitations. Mempo does not seem to be, but Mara's is.
My calculations were based on me going through the AH by hand and checking the min and max of every affix on any Mempo available, and then comparing it to the ranges of defined affixes.
TL;DR
You are retarded, and need to go back to school \ read how diablo affixes work. I do not want to do the math on a rare helm with perfect rolls, as I have been doing too many item calculations the past 2 days, but your numbers are completely wrong. It would be more rare than a perfect mempo for sure, but the mempo would still be better.
Edit:
Also, I do not get the "/e actually odds are a little higher, cause the affixes can roll in a different order, but whatever ..."
I'm going to ignore that your math is wrong to begin with, because you do not understand how affixes work....but you are MULTIPLYING. What is 20 * 5 * 10 * 5? Is it different than 5 * 10 * 5 * 20? Or 5 * 20 * 10 * 5?
This post was edited by Large_Intestine on Nov 10 2012 11:23pm