User:Praise/OS Mods

Oldschool value ranges by rarity table

These numbers are based on observations. It is possible that some rare ones are possible but not observed yet, especially in the blue range.

The ranges are not dependent on area, gold value, source, or any other parameter. Just the item rarity.

Table of upgrade component ranges found on oldschool random loot

Mod Blue Purple Gold -2 physical 1-1 2-2 2-2 -3 physical 1-2 2-3 3-3 -5 physical 3-4 4-5 5-5 5 energy 1-3 3-4 4-5 5 armor 4-4 5-5 5-5 7 armor 4-5 6-6 7-7 10 (percent or armor) 5-7 8-9 9-10 15 (percent or energy) 10-13 13-14 14-15 20 percent 10-15 15-18 19-20 30 hp (prefix & offhand) 10-20 20-26 27-30 30 hp (suffix) 20-25 25-28 29-30 45 hp 15-30 30-39 41-45 60 hp 30-45 45-54 56-60

Furthermore, there are some mods outside these ranges that can still be obtained. The sources and the mods are fixed, not random.

Table of upgrade components obtainable from non-random sources

weapon mod value source axe fortitude 15 little thom's big cloak axe fortitude 5 Arthur Ayala axe fortitude 15 Debiro Kuri bow enchanting 5 across the wall bow fortitude 10 the hunter's horn dagger fortitude 15 Seung Kim hammer fortitude 15 the true king hammer fortitude 10 trouble in the woods hammer fortitude 15 Teizhan sword sundering 10/10 fires in the east sword fortitude 15 Seung Kim

Not all creature mods are found everywhere. It depends on campaign, but UW and FoW are a separate "campaign" too for the purpose of creature mod types.

Table of creature mods by campaign

creature armor slaying plants Proph,Factions Proph,Factions undead Proph,UW,FoW Proph,Nightfall,EotN,UW,FoW skeletons Proph Proph tengu Proph Proph trolls Proph Proph giants Proph Proph dwarves Proph Proph charr Proph Proph demons Factions Factions dragons Factions Factions ogres Factions Factions

Finally, regarding attribute mods (HSR, HCT, +1), the type of item determines which attributes are possible.
On foci, only attributes of its linked profession are possible.
On staffs & wands, it depends whether the skin is found with requirements from one or multiple professions. On multi-profession staffs and wands, attributes from all professions can be found regardless of its actual requirement.

Number of oldschool dual mod combinations and the drop chance for each

Old school dual mod items are not simply two stacked single mods. Certain mod combinations are forbidden (e.g. +30hp with +45enchant is not possible on non-customised offhands). These mod combination exlusions create an imbalance in the probability for each to drop. All old school dual mod combinations do not have equal chance to drop. In the tables below, you can find the real chance for each dual mod.

The mods in these tables are given as types, meaning that the exact number varies depending on item rarity (see one of the previous tables). For example:

• A gold focus containing a mod of type "10<50" can display either 9<50 or 10<50,
  while
• A purple focus containing a mod of type "10<50" can display either 8<50 or 9<50.

The probabilities of the numbers within each mod type are known. Let me know if you are interested.

Focus

Index First mod type↓ 10<50 10hex 10creature 10type 5^50 5enchant 5cast 5attack 5ele 5phys 5-5 5-20 30 45enchant 60hexed hct10 hct20 hsr10 hsr20 1\20 condition 15-1 sum 1 10<50 0.5379% 0.5379% 0.5379% 0.5379% 0.5379% 0.5379% 0.5379% 0.5379% 0.5379% 0.1087% 4.9500% 2 10hex 0.5379% 0.5379% 0.5379% 0.5379% 0.5379% 0.5379% 0.5379% 0.5379% 0.5379% 0.1087% 4.9500% 3 10creature 0.5379% 0.5379% 0.5379% 0.5379% 0.5379% 0.5379% 0.5379% 0.5379% 0.5379% 0.1087% 4.9500% 4 10type 0.5379% 0.5379% 0.5379% 0.5379% 0.5379% 0.5379% 0.5379% 0.5379% 0.5379% 0.1087% 4.9500% 5 5^50 0.5379% 0.5379% 0.5379% 0.5379% 0.5379% 0.5379% 0.5379% 0.5379% 0.5379% 0.1087% 4.9500% 6 5enchant 0.5379% 0.5379% 0.5379% 0.5379% 0.5379% 0.5379% 0.5379% 0.5379% 0.5379% 0.1087% 4.9500% 7 5cast 0.5379% 0.5379% 0.5379% 0.5379% 0.5379% 0.5379% 0.5379% 0.5379% 0.5379% 0.1087% 4.9500% 8 5attack 0.5379% 0.5379% 0.5379% 0.5379% 0.5379% 0.5379% 0.5379% 0.5379% 0.5379% 0.1087% 4.9500% 9 5ele 0.5379% 0.5379% 0.5379% 0.5379% 0.5379% 0.5379% 0.5379% 0.5379% 0.5379% 0.1087% 4.9500% 10 5phys 0.5379% 0.5379% 0.5379% 0.5379% 0.5379% 0.5379% 0.5379% 0.5379% 0.5379% 0.1087% 4.9500% 11 5-5 0.2690% 0.2690% 0.2690% 0.2690% 0.2690% 0.2690% 0.2690% 0.2690% 0.2690% 0.0543% 2.4750% 12 5-20 0.2690% 0.2690% 0.2690% 0.2690% 0.2690% 0.2690% 0.2690% 0.2690% 0.2690% 0.0543% 2.4750% 13 30 0.2878% 0.2878% 0.2878% 0.2878% 0.2878% 0.2878% 0.2878% 0.2878% 0.2878% 0.2878% 0.1439% 0.1439% 0.2878% 0.2878% 0.2878% 0.2878% 0.2878% 0.2878% 0.0581% 4.9500% 14 45enchant 0.2878% 0.2878% 0.2878% 0.2878% 0.2878% 0.2878% 0.2878% 0.2878% 0.2878% 0.2878% 0.1439% 0.1439% 0.2878% 0.2878% 0.2878% 0.2878% 0.2878% 0.2878% 0.0581% 4.9500% 15 60hexed 0.2878% 0.2878% 0.2878% 0.2878% 0.2878% 0.2878% 0.2878% 0.2878% 0.2878% 0.2878% 0.1439% 0.1439% 0.2878% 0.2878% 0.2878% 0.2878% 0.2878% 0.2878% 0.0581% 4.9500% 16 hct10 0.2719% 0.2719% 0.2719% 0.2719% 0.2719% 0.2719% 0.2719% 0.2719% 0.2719% 0.2719% 0.1360% 0.1360% 0.2719% 0.2719% 0.2719% 0.2719% 0.2719% 0.2719% 0.2719% 0.0549% 4.9500% 17 hct20 0.2719% 0.2719% 0.2719% 0.2719% 0.2719% 0.2719% 0.2719% 0.2719% 0.2719% 0.2719% 0.1360% 0.1360% 0.2719% 0.2719% 0.2719% 0.2719% 0.2719% 0.2719% 0.2719% 0.0549% 4.9500% 18 hsr10 0.2719% 0.2719% 0.2719% 0.2719% 0.2719% 0.2719% 0.2719% 0.2719% 0.2719% 0.2719% 0.1360% 0.1360% 0.2719% 0.2719% 0.2719% 0.2719% 0.2719% 0.2719% 0.2719% 0.0549% 4.9500% 19 hsr20 0.2719% 0.2719% 0.2719% 0.2719% 0.2719% 0.2719% 0.2719% 0.2719% 0.2719% 0.2719% 0.1360% 0.1360% 0.2719% 0.2719% 0.2719% 0.2719% 0.2719% 0.2719% 0.2719% 0.0549% 4.9500% 20 1\20 0.2578% 0.2578% 0.2578% 0.2578% 0.2578% 0.2578% 0.2578% 0.2578% 0.2578% 0.2578% 0.1289% 0.1289% 0.2578% 0.2578% 0.2578% 0.2578% 0.2578% 0.2578% 0.2578% 0.2578% 0.0521% 4.9500% 21 condition 0.2578% 0.2578% 0.2578% 0.2578% 0.2578% 0.2578% 0.2578% 0.2578% 0.2578% 0.2578% 0.1289% 0.1289% 0.2578% 0.2578% 0.2578% 0.2578% 0.2578% 0.2578% 0.2578% 0.2578% 0.0521% 4.9500% 22 15-1 0.0500% 0.0500% 0.0500% 0.0500% 0.0500% 0.0500% 0.0500% 0.0500% 0.0500% 0.0500% 0.0250% 0.0250% 0.0500% 0.0500% 0.0500% 0.0500% 0.0500% 0.0500% 0.0500% 0.0500% 0.0500% 1.0000% sum 2.5166% 2.5166% 2.5166% 2.5166% 2.5166% 2.5166% 2.5166% 2.5166% 2.5166% 2.5166% 1.2583% 1.2583% 7.5705% 7.5705% 7.5705% 7.8899% 7.8899% 7.8899% 7.8899% 8.1760% 8.1760% 1.6937% 100.0000%

Shield

index 1st mod type↓ 2enchant 2stance 3hex 5/20 30 45enchant 45stance 60hex 10creature 10type 1/20 condition sum 1 2enchant 1.04% 1.04% 1.04% 1.04% 1.04% 1.04% 1.04% 1.04% 8.3% 2 2stance 1.04% 1.04% 1.04% 1.04% 1.04% 1.04% 1.04% 1.04% 8.3% 3 3hex 1.04% 1.04% 1.04% 1.04% 1.04% 1.04% 1.04% 1.04% 8.3% 4 5/20 1.04% 1.04% 1.04% 1.04% 1.04% 1.04% 1.04% 1.04% 8.3% 5 30 1.04% 1.04% 1.04% 1.04% 1.04% 1.04% 1.04% 1.04% 8.3% 6 45enchant 1.04% 1.04% 1.04% 1.04% 1.04% 1.04% 1.04% 1.04% 8.3% 7 45stance 1.04% 1.04% 1.04% 1.04% 1.04% 1.04% 1.04% 1.04% 8.3% 8 60hex 1.04% 1.04% 1.04% 1.04% 1.04% 1.04% 1.04% 1.04% 8.3% 9 10creature 0.83% 0.83% 0.83% 0.83% 0.83% 0.83% 0.83% 0.83% 0.83% 0.83% 8.3% 10 10type 0.83% 0.83% 0.83% 0.83% 0.83% 0.83% 0.83% 0.83% 0.83% 0.83% 8.3% 11 1/20 0.76% 0.76% 0.76% 0.76% 0.76% 0.76% 0.76% 0.76% 0.76% 0.76% 0.76% 8.3% 12 condition 0.76% 0.76% 0.76% 0.76% 0.76% 0.76% 0.76% 0.76% 0.76% 0.76% 0.76% 8.3% sum 7.3% 7.3% 7.3% 7.3% 7.3% 7.3% 7.3% 7.3% 9.8% 9.8% 10.8% 10.8% 100.0%

Wand

index 1st mod type↓ 5^50 5<50 5enchant 5hex hct10 hct20 hsr10 hsr20 15/-1 sum 1 5^50 2.88% 2.88% 2.88% 2.88% 0.46% 12.0% 2 5<50 2.88% 2.88% 2.88% 2.88% 0.46% 12.0% 3 5enchant 2.88% 2.88% 2.88% 2.88% 0.46% 12.0% 4 5hex 2.88% 2.88% 2.88% 2.88% 0.46% 12.0% 5 hct10 2.00% 2.00% 2.00% 2.00% 2.08% 2.08% 0.33% 12.5% 6 hct20 2.00% 2.00% 2.00% 2.00% 2.08% 2.08% 0.33% 12.5% 7 hsr10 2.00% 2.00% 2.00% 2.00% 2.08% 2.08% 0.33% 12.5% 8 hsr20 2.00% 2.00% 2.00% 2.00% 2.08% 2.08% 0.33% 12.5% 9 15/-1 0.24% 0.24% 0.24% 0.24% 0.26% 0.26% 0.26% 0.26% 2.0% sum 8.2% 8.2% 8.2% 8.2% 16.0% 16.0% 16.0% 16.0% 3.2% 100.0%

Thought experiment

For shields, there are 912 possible dual mod combinations: that's including all different attributes, armor, and conditions; but excluding actual mod values (e.g. +1/19% and +1/20% are not differentiated). However in reality those 912 are spread out over different campaigns: 816 in Prophecies and 688 in Factions, with a difference of 96 combinations that can only be found in Factions.

Now we can ask the question: how many dual mods need to be identified before we get one of each possible combination?
That's called the coupon collector's problem with unequal probabilities.

It turns out:

• for the 816 Proph shields, on average, you need to identify 51738 dual mods to get one of each
• for the 688 Factions shields, on average, you need to identify 48032 dual mods to get one of each
  

Finally, remember to multiply that number to include single mods and non-perfect.