09-04-2003, 12:51 PM
I wanted to do some calculations about gambling but I encountered some difficulties. First, let me summarize what formulas I use: the chance of an item being unique is fixed at 1/5000, set fixed at 1/2000, rare fixed at 1/10 and thus magic fixed at 8993/10000. The chance of the item being exceptional is 90*(ilvl-qlvl_exceptional+1)/10000 and elite 33*(ilvl-qlvl_elite+1)/10000 where ilvl is evenly distributed in the interval [clvl-5,clvl+4] and qlvl_xxx the quality level of the exceptional/elite version of the item in question. If the number in brackets is negative, the value is set to 0.
So the actual chance of getting an exceptional item at clvl x is now [sum(i=x-5,i=x+4)theta(i-qlvl_exceptional+1) (i-qlvl_exceptional+1)]*9/10000 and analogous for elite with "9" being replaced by "3.3". theta(x) is the theta-function (duh!) which is 1 if x>0 and 0 if x<0. The chance of getting a normal item is then 1-p_excep-p_elite.
What happens if you gamble and there does not exist a set/unique version of that item? Is the item downgraded one category (unique->set, set->rare and unique+set->rare if both do not exist)?
And if I happen to be wrong with the formulas in the first paragraph, please correct me!
The Mad Scientist
PS I don't care if the chances to gamble a Cranium Basher are infinitesimal - the whole thing is just mathematical gymnastics for me :D
So the actual chance of getting an exceptional item at clvl x is now [sum(i=x-5,i=x+4)theta(i-qlvl_exceptional+1) (i-qlvl_exceptional+1)]*9/10000 and analogous for elite with "9" being replaced by "3.3". theta(x) is the theta-function (duh!) which is 1 if x>0 and 0 if x<0. The chance of getting a normal item is then 1-p_excep-p_elite.
What happens if you gamble and there does not exist a set/unique version of that item? Is the item downgraded one category (unique->set, set->rare and unique+set->rare if both do not exist)?
And if I happen to be wrong with the formulas in the first paragraph, please correct me!
The Mad Scientist
PS I don't care if the chances to gamble a Cranium Basher are infinitesimal - the whole thing is just mathematical gymnastics for me :D