3.11 Probabilities of finding unique items
As with all other items in the game with the exception of quest related items, which only exists in single player, unique items are created randomly by the game. In the table below are shown the rarity of all the unique items. The values have been calculated taking into account all the relevant information and formulas found in this Guide as well as all of the following:
- You would have to kill all monsters, break all barrels, open all chests and so on.
- Each monster is modeled with the probabilities found in chapter 5.3.2.
- There are assumed to exist 185 monsters on all levels with the exception of level 1 and 2 that are a bit smaller and thus has a somewhat less monsters.
- On appropriate levels, the following number of item sources have been assumed (usually the average number of them on each level): 7 small chests, 4 chests, 2.5 large chests, 5 patches of 6 barrels, 14.5 sarcophagus and 3.5 decapitated bodies. For the calculations it does not matter if the numbers are decimals instead of integers.
- For various reasons, mostly due to the difficulties in making good estimates of the frequencies, no considerations have been made to those items sometimes appearing directly on the ground or appearing on weapon or armor racks. This should not affect the final probabilities much though. If anyone has any more information on the frequencies of them, please feel free to tell me.
- The values are only valid for multi player. In single player some quest monsters will drop a quest item instead of a random magical item. Also, dungeon levels normally has less monsters than in single player. Finally, unique items are picked slightly different in single player than multi player meaning some of the unique items marked as Impossible ones, actually has a very small chance of appearing in a single player game (but very small, typically square the number for the uniques being second in the order and raise it to the power of three for the third one in the list. For the drop order of such unique items, see chapter 3.5.2. It is my belief that the values should be more or less accurate for single player as well though.
The value given is an estimate of how many games it takes on average to find a specific unique. To find the probability of a specific unique to exist in a game, simply divide 1 by the number given. Given are also numbers telling on what dlvl the unique item has the highest overall chance (includes all sources) to be found. It is very important to realize that the number given here are necessarily not the same as the typical player will find. A typical player will for example not play in all areas equally much. Also, even though the chances are over all greater for monsters than for unique monsters, you need to kill a lot more of them. So if you are hunting for specific unique items, it is normally a much faster method to kill, say only bosses on level 13-15 than killing all monsters on the same levels. Never the less, the numbers below should give a rough estimate on how rare or common a specific unique item is. If an item is impossible to generate for some reason, it will say "impossible".
3.11.1 Probabilities in Diablo
Armor |
Normal |
Nightmare |
Hell |
Name |
Probability |
dlvl |
Probability |
dlvl |
Probability |
dlvl |
Demonspike Coat |
56 |
15 |
51 |
15 |
51 |
15 |
The Gladiator’s Bane |
23 |
15 |
21 |
15 |
21 |
15 |
Leather of Aut |
16 |
15 |
19 |
15 |
19 |
15 |
Naj’s Light Plate |
40 |
15 |
38 |
15 |
38 |
15 |
Nightscape |
32 |
15 |
34 |
15 |
34 |
15 |
The Rainbow Cloak |
13 |
2 |
19 |
15 |
19 |
15 |
Scavenger Carapace |
35 |
15 |
28 |
15 |
28 |
15 |
Sparking Mail |
29 |
15 |
24 |
15 |
24 |
15 |
Torn Flesh of Souls |
13 |
2 |
19 |
15 |
19 |
15 |
Wisdom’s Wrap |
14 |
2 |
19 |
15 |
19 |
15 |
Axes |
Normal |
Nightmare |
Hell |
Name |
Probability |
dlvl |
Probability |
dlvl |
Probability |
dlvl |
Aguinara’s Hatchet |
24 |
15 |
27 |
15 |
27 |
15 |
Bloodslayer |
impossible |
- |
150 |
2 |
160 |
2 |
The Celestial Axe |
90 |
5 |
46 |
2 |
47 |
2 |
Hellslayer |
31 |
15 |
33 |
15 |
33 |
15 |
The Mangler |
impossible |
- |
impossible |
- |
impossible |
- |
Messerschmidt’s Reaver |
51 |
15 |
51 |
15 |
51 |
15 |
Sharp Beak |
impossible |
- |
1 200 |
2 |
1 300 |
2 |
Stonecleaver |
20 |
15 |
22 |
15 |
22 |
15 |
Wicked Axe |
16 |
15 |
19 |
15 |
19 |
15 |
Bows |
Normal |
Nightmare |
Hell |
Name |
Probability |
dlvl |
Probability |
dlvl |
Probability |
dlvl |
The Blackoak Bow |
41 |
3 |
60 |
2 |
62 |
2 |
Bow of the Dead |
20 |
15 |
19 |
15 |
20 |
15 |
The Celestial Bow |
impossible |
- |
1 200 |
2 |
1 300 |
2 |
Deadly Hunter |
impossible |
- |
2 100 |
2 |
2 300 |
2 |
Eaglehorn |
54 |
15 |
54 |
15 |
54 |
15 |
Flamedart |
21 |
15 |
24 |
15 |
24 |
15 |
Fleshstinger |
26 |
15 |
28 |
15 |
28 |
15 |
The Needler |
13 |
2 |
19 |
15 |
19 |
15 |
The Rift Bow |
480 |
1 |
2 500 |
1 |
2 900 |
1 |
Windforce |
40 |
15 |
35 |
15 |
35 |
15 |
Clubs |
Normal |
Nightmare |
Hell |
Name |
Probability |
dlvl |
Probability |
dlvl |
Probability |
dlvl |
Baranar’s Star |
14 |
2 |
19 |
15 |
20 |
15 |
The Celestial Star |
20 |
15 |
19 |
15 |
20 |
15 |
Civerb’s Cudgel |
18 |
2 |
29 |
2 |
29 |
2 |
Crackrust |
impossible |
- |
impossible |
- |
impossible |
- |
The Cranium Basher |
25 |
15 |
27 |
15 |
27 |
15 |
Dreamflange |
54 |
15 |
54 |
15 |
54 |
15 |
Gnarled Root, Club |
20 |
15 |
24 |
15 |
24 |
15 |
Gnarled Root, Spiked Club |
20 |
15 |
24 |
15 |
24 |
15 |
Hammer of Jholm |
340 |
5 |
62 |
2 |
65 |
2 |
Lightforge |
impossible |
- |
impossible |
- |
impossible |
- |
Schaefer’s Hammer |
32 |
15 |
34 |
15 |
34 |
15 |
Helms |
Normal |
Nightmare |
Hell |
Name |
Probability |
dlvl |
Probability |
dlvl |
Probability |
dlvl |
Fool’s Crest |
24 |
15 |
27 |
15 |
27 |
15 |
Gotterdamerung |
43 |
15 |
43 |
15 |
43 |
15 |
Helm of Sprits |
impossible |
- |
130 |
2 |
140 |
2 |
Overlord’s Helm |
120 |
4 |
120 |
4 |
120 |
4 |
Royal Circlet |
56 |
15 |
56 |
15 |
56 |
15 |
Thinking Cap |
16 |
15 |
21 |
15 |
21 |
15 |
Jewelry |
Normal |
Nightmare |
Hell |
Name |
Probability |
dlvl |
Probability |
dlvl |
Probability |
dlvl |
The Bleeder |
impossible |
- |
59 |
2 |
65 |
2 |
Bramble |
impossible |
- |
impossible |
- |
impossible |
- |
Constricting Ring |
28 |
2 |
16 |
2 |
17 |
2 |
Ring of Engagement |
6 |
15 |
6 |
15 |
6 |
15 |
Ring of Regha |
impossible |
- |
110 |
1 |
120 |
1 |
Shields |
Normal |
Nightmare |
Hell |
Name |
Probability |
dlvl |
Probability |
dlvl |
Probability |
dlvl |
Blackoak Shield |
16 |
15 |
19 |
15 |
19 |
15 |
The Deflector |
impossible |
- |
impossible |
- |
impossible |
- |
Dragon’s Breach |
29 |
15 |
19 |
15 |
19 |
15 |
Holy Defender |
23 |
15 |
24 |
15 |
24 |
15 |
Split Skull Shield |
13 |
2 |
19 |
15 |
19 |
15 |
Stormshield, Gothic Shield |
48 |
15 |
48 |
15 |
48 |
15 |
Stormshield, Tower Shield |
50 |
15 |
48 |
15 |
48 |
15 |
Staves |
Normal |
Nightmare |
Hell |
Name |
Probability |
dlvl |
Probability |
dlvl |
Probability |
dlvl |
Gleamsong |
41 |
3 |
66 |
3 |
66 |
3 |
Immolator |
22 |
2 |
40 |
2 |
41 |
2 |
Mindcry |
41 |
15 |
41 |
15 |
41 |
15 |
Naj’s Puzzler |
35 |
15 |
36 |
15 |
36 |
15 |
The Protector |
32 |
15 |
34 |
15 |
34 |
15 |
Rod of Onan |
44 |
15 |
45 |
15 |
45 |
15 |
Staff of Shadows |
impossible |
- |
2 000 |
2 |
2 200 |
2 |
Storm Spire |
64 |
6 |
45 |
3 |
45 |
3 |
Thundercall |
29 |
15 |
31 |
15 |
31 |
15 |
Swords |
Normal |
Nightmare |
Hell |
Name |
Probability |
dlvl |
Probability |
dlvl |
Probability |
dlvl |
Black Razor |
31 |
2 |
75 |
2 |
79 |
2 |
The Bonesaw |
18 |
15 |
21 |
15 |
21 |
15 |
The Defender |
25 |
2 |
55 |
2 |
57 |
2 |
Doombringer |
38 |
15 |
38 |
15 |
38 |
15 |
The Executioner’s Blade |
14 |
2 |
19 |
15 |
19 |
15 |
The Falcon’s Talon |
31 |
15 |
33 |
15 |
33 |
15 |
Gibbous Moon |
impossible |
- |
120 |
2 |
130 |
2 |
Gonnagal’s Dirk |
impossible |
- |
impossible |
- |
impossible |
- |
The Grandfather |
56 |
15 |
56 |
15 |
56 |
15 |
The Grizzly |
46 |
15 |
46 |
15 |
46 |
15 |
Gryphons Claw |
630 |
1 |
1 200 |
1 |
1 400 |
1 |
Ice Shank |
30 |
3 |
41 |
2 |
42 |
2 |
Inferno |
34 |
15 |
35 |
15 |
35 |
15 |
Lightsabre |
26 |
15 |
28 |
15 |
28 |
15 |
Shadowhawk |
20 |
15 |
23 |
15 |
23 |
15 |
Wizardspike |
22 |
15 |
25 |
15 |
25 |
15 |
3.11.2 Probabilities in Hellfire
The reason most unique items are more likely in a Hellfire game than in a Diablo game is of course due to the fact that a Hellfire game has two additional dungeons with lots of more monsters and other sources for items.
Armor |
Normal |
Nightmare |
Hell |
Name |
Probability |
dlvl |
Probability |
dlvl |
Probability |
dlvl |
Demonspike Coat |
impossible |
- |
impossible |
- |
impossible |
- |
The Gladiator’s Bane |
20 |
15 |
18 |
15 |
18 |
15 |
Leather of Aut |
15 |
15 |
17 |
15 |
17 |
15 |
Naj’s Light Plate |
30 |
15 |
29 |
15 |
29 |
15 |
Nightscape |
26 |
15 |
27 |
15 |
27 |
15 |
The Rainbow Cloak |
12 |
2 |
17 |
15 |
17 |
15 |
Scavenger Carapace |
28 |
15 |
23 |
15 |
23 |
15 |
Sparking Mail |
impossible |
- |
140 |
4 |
140 |
4 |
Torn Flesh of Souls |
12 |
2 |
19 |
17 |
17 |
15 |
Wisdom’s Wrap |
13 |
2 |
17 |
15 |
17 |
15 |
Armor of Gloom |
impossible |
- |
impossible |
- |
impossible |
- |
Bone Chain Armor |
24 |
15 |
23 |
15 |
23 |
15 |
Demon Plate Armor |
46 |
15 |
42 |
15 |
42 |
15 |
Axes |
Normal |
Nightmare |
Hell |
Name |
Probability |
dlvl |
Probability |
dlvl |
Probability |
dlvl |
Aguinara’s Hatchet |
20 |
15 |
22 |
15 |
22 |
15 |
Bloodslayer |
impossible |
- |
150 |
2 |
160 |
2 |
The Celestial Axe |
92 |
5 |
47 |
2 |
48 |
2 |
Hellslayer |
25 |
15 |
26 |
15 |
26 |
15 |
The Mangler |
impossible |
- |
impossible |
- |
impossible |
- |
Messerschmidt’s Reaver |
24 |
15 |
42 |
15 |
42 |
15 |
Sharp Beak |
impossible |
- |
1 300 |
2 |
1 500 |
2 |
Stonecleaver |
18 |
15 |
19 |
15 |
19 |
15 |
Wicked Axe |
15 |
15 |
17 |
15 |
17 |
15 |
Bows |
Normal |
Nightmare |
Hell |
Name |
Probability |
dlvl |
Probability |
dlvl |
Probability |
dlvl |
The Blackoak Bow |
42 |
3 |
60 |
2 |
62 |
2 |
Bow of the Dead |
240 |
4 |
84 |
2 |
88 |
2 |
The Celestial Bow |
impossible |
- |
1 300 |
2 |
1 500 |
2 |
Deadly Hunter |
impossible |
- |
2 300 |
2 |
2 600 |
2 |
Eaglehorn |
45 |
15 |
45 |
15 |
45 |
15 |
Flamedart |
65 |
5 |
96 |
5 |
97 |
5 |
Fleshstinger |
22 |
15 |
23 |
15 |
23 |
15 |
The Needler |
12 |
2 |
17 |
15 |
17 |
15 |
The Rift Bow |
600 |
1 |
2 800 |
1 |
3 100 |
1 |
Windforce |
30 |
15 |
28 |
15 |
28 |
15 |
Blitzen |
22 |
15 |
23 |
15 |
23 |
15 |
Flambeau |
130 |
4 |
210 |
5 |
210 |
5 |
Gnat Sting |
25 |
15 |
26 |
15 |
26 |
15 |
Clubs |
Normal |
Nightmare |
Hell |
Name |
Probability |
dlvl |
Probability |
dlvl |
Probability |
dlvl |
Baranar’s Star |
13 |
2 |
17 |
15 |
17 |
15 |
The Celestial Star |
17 |
15 |
17 |
15 |
17 |
15 |
Civerb’s Cudgel |
17 |
2 |
26 |
2 |
26 |
2 |
Crackrust |
impossible |
- |
impossible |
- |
impossible |
- |
The Cranium Basher |
21 |
15 |
22 |
15 |
22 |
15 |
Dreamflange |
45 |
15 |
45 |
15 |
45 |
15 |
Gnarled Root, Club |
17 |
15 |
20 |
15 |
20 |
15 |
Gnarled Root, Spiked Club |
17 |
15 |
20 |
15 |
20 |
15 |
Hammer of Jholm |
350 |
5 |
63 |
2 |
66 |
2 |
Lightforge |
impossible |
- |
impossible |
- |
impossible |
- |
Schaefer’s Hammer |
26 |
15 |
27 |
15 |
27 |
15 |
Thunderclap |
130 |
3 |
170 |
3 |
170 |
3 |
Helms |
Normal |
Nightmare |
Hell |
Name |
Probability |
dlvl |
Probability |
dlvl |
Probability |
dlvl |
Fool’s Crest |
20 |
15 |
22 |
15 |
22 |
15 |
Gotterdamerung |
32 |
15 |
32 |
15 |
32 |
15 |
Helm of Sprits |
impossible |
- |
130 |
2 |
140 |
2 |
Overlord’s Helm |
120 |
4 |
120 |
4 |
120 |
4 |
Royal Circlet |
47 |
15 |
47 |
15 |
47 |
15 |
Thinking Cap |
15 |
15 |
18 |
15 |
18 |
15 |
Jewelry |
Normal |
Nightmare |
Hell |
Name |
Probability |
dlvl |
Probability |
dlvl |
Probability |
dlvl |
The Bleeder |
impossible |
- |
65 |
2 |
71 |
2 |
Bramble |
impossible |
- |
impossible |
- |
impossible |
- |
Constricting Ring |
28 |
2 |
16 |
2 |
17 |
2 |
Ring of Engagement |
4 |
15 |
4 |
15 |
4 |
15 |
Ring of Regha |
impossible |
- |
120 |
1 |
130 |
1 |
Amulet of Warding |
2 |
H3 |
2 |
H3 |
2 |
H3 |
Acolytes Amulet |
110 |
4 |
83 |
4 |
83 |
4 |
Giant’s Knuckle |
impossible |
- |
impossible |
- |
impossible |
- |
Gladiators Ring |
190 |
7 |
150 |
4 |
160 |
4 |
Karik’s Ring |
impossible |
- |
impossible |
- |
impossible |
- |
Mercurial Ring |
impossible |
- |
impossible |
- |
impossible |
- |
Ring of Magma |
impossible |
- |
impossible |
- |
impossible |
- |
Ring of the Mystics |
impossible |
- |
impossible |
- |
impossible |
- |
Ring of Thunder |
86 |
3 |
52 |
3 |
53 |
3 |
Xorine’s Ring |
impossible |
- |
impossible |
- |
impossible |
- |
Shields |
Normal |
Nightmare |
Hell |
Name |
Probability |
dlvl |
Probability |
dlvl |
Probability |
dlvl |
Blackoak Shield |
15 |
15 |
17 |
15 |
17 |
15 |
The Deflector |
impossible |
- |
impossible |
- |
impossible |
- |
Dragon’s Breach |
24 |
15 |
17 |
15 |
17 |
15 |
Holy Defender |
20 |
15 |
21 |
15 |
21 |
15 |
Split Skull Shield |
12 |
2 |
17 |
15 |
17 |
15 |
Stormshield, Gothic Shield |
38 |
15 |
38 |
15 |
38 |
15 |
Stormshield, Tower Shield |
39 |
15 |
38 |
15 |
38 |
15 |
Staves |
Normal |
Nightmare |
Hell |
Name |
Probability |
dlvl |
Probability |
dlvl |
Probability |
dlvl |
Gleamsong |
42 |
3 |
67 |
3 |
67 |
3 |
Immolator |
22 |
2 |
41 |
2 |
42 |
2 |
Mindcry |
31 |
15 |
31 |
15 |
31 |
15 |
Naj’s Puzzler |
27 |
15 |
28 |
15 |
28 |
15 |
The Protector |
26 |
15 |
27 |
15 |
27 |
15 |
Rod of Onan |
5 |
C4 |
5 |
C4 |
5 |
C4 |
Staff of Shadows |
impossible |
- |
2 200 |
2 |
2 400 |
2 |
Storm Spire |
65 |
6 |
45 |
3 |
45 |
3 |
Thundercall |
24 |
15 |
25 |
15 |
25 |
15 |
Swords |
Normal |
Nightmare |
Hell |
Name |
Probability |
dlvl |
Probability |
dlvl |
Probability |
dlvl |
Black Razor |
33 |
2 |
77 |
2 |
80 |
2 |
The Bonesaw |
16 |
15 |
18 |
15 |
18 |
15 |
The Defender |
26 |
2 |
56 |
2 |
58 |
2 |
Doombringer |
29 |
15 |
29 |
15 |
29 |
15 |
The Executioner’s Blade |
12 |
2 |
17 |
15 |
17 |
15 |
The Falcon’s Talon |
25 |
15 |
26 |
15 |
26 |
15 |
Gibbous Moon |
impossible |
- |
120 |
2 |
130 |
2 |
Gonnagal’s Dirk |
impossible |
- |
impossible |
- |
impossible |
- |
The Grandfather |
47 |
15 |
47 |
15 |
47 |
15 |
The Grizzly |
impossible |
- |
impossible |
- |
impossible |
- |
Gryphons Claw |
760 |
1 |
1 300 |
1 |
1 500 |
1 |
Ice Shank |
31 |
3 |
42 |
2 |
43 |
2 |
Inferno |
impossible |
- |
impossible |
- |
impossible |
- |
Lightsabre |
22 |
15 |
23 |
15 |
23 |
15 |
Shadowhawk |
18 |
15 |
19 |
15 |
19 |
15 |
Wizardspike |
19 |
15 |
21 |
15 |
21 |
15 |
Diamondedge |
27 |
15 |
28 |
15 |
28 |
15 |
Eater of Souls |
35 |
15 |
35 |
15 |
36 |
15 |
Shirotachi |
100 |
11 |
100 |
11 |
100 |
11 |