For reference, each partial resistance tier (0%,10%,20%,30%, etc.) is guaranteed when your average resistance reaches 10 more than that tier. That can be found by working out P(x) = 0.5-2.5*|X-A| for each partial resistance tier and seeing where it equals 0.
So for example, to see what average resistance you need to guarantee 10% partial resists, you look at the previous partial resist tier, and solve P(x) = 0 for it:
P(0%) = 0 = 50% - 2.5*|0%-A|
50%/2.5 = |0%-A|
20% = |0% - A| (HINT: this step is true for all partial resist tiers)
A = 20%
So when you have 20% average resist, you have a 0% chance of having a 0% resist and are guaranteed at least a 10% chance to resist.
To see what the minimum average resist is for a guaranteed 20% resist, look for P(10%) = 0
20% = |10% - A|
A = 30%
So when you have 30% average resist, you have a 0% chance of having a 10% resist and are guaranteed at least a 20% chance to resist.
Putting this into a table:
Code:
Guaranteed Min Resist Average Resist Needed Resistance Value (vs LvL 88)
10% 20% 181
20% 30% 311
30% 40% 483
40% 50% 724
50% 60% 1086
60% 70% 1690
You can't get any higher than 60% guaranteed since your average can't exceed 75%
EDIT: Here is a table showing the values of P(x) for each resistance tier for 5% increments of average resist:
Code:
Partial Resist Tier Probability P(X)
AVG | 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0
-----------------------------------------------------------------------
0.10 0.25 0.5 0.25 0 0 0 0 0 0 0 0
0.15 0.125 0.375 0.375 0.125 0 0 0 0 0 0 0
0.20 0 0.25 0.5 0.25 0 0 0 0 0 0 0
0.25 0 0.125 0.375 0.375 0.125 0 0 0 0 0 0
0.30 0 0 0.25 0.5 0.25 0 0 0 0 0 0
0.35 0 0 0.125 0.375 0.375 0.125 0 0 0 0 0
0.40 0 0 0 0.25 0.5 0.25 0 0 0 0 0
0.45 0 0 0 0.125 0.375 0.375 0.125 0 0 0 0
0.50 0 0 0 0 0.25 0.5 0.25 0 0 0 0
0.55 0 0 0 0 0.125 0.375 0.375 0.125 0 0 0
0.60 0 0 0 0 0 0.25 0.5 0.25 0 0 0
0.65 0 0 0 0 0 0.125 0.375 0.375 0.125 0 0
0.70 0 0 0 0 0 0 0.25 0.5 0.25 0 0
0.75 0 0 0 0 0 0 0.125 0.375 0.375 0.125 0
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