@Fruit, thank you for posting your results here!
Now we can evaluate a prosperity of this place in terms of HR-hunting by comparing it to expected theoretical values:
Code:
Rune Prob,% ExpProbSC,% CountSC ProbSC,%
Zod 0.019 0.0020 1 0.0015
Cham 0.025 0.0027 1.7 0.0026
Jah 0.076 0.0082 6.26 0.0096
Ber 0.068 0.0073 6 0.0092
Sur 0.102 0.0110 6.08 0.0093
Lo 0.092 0.0099 5.58 0.0085
Ohm 0.138 0.0149 8.98 0.0137
Vex 0.130 0.0140 8.78 0.0134
Gul 0.196 0.0211 9.06 0.0138
Prob, % - probability of a dropped rune to be a certain rune (1 out of 5170 for Zod, etc.; probabilities for other HRs were calculated earlier in the thread – page #3)
ExpProbSC, % - the theoretical chance to see a certain rune when hitting the SC (with unlimited seeds). The chance to get a runic TC is 14/130 = 10.77%, thus ExpProbSC, % = Prob, % * 10.77%
CountSC – the established amount of a certain rune for the SC. (for example, for Jah: 12%*4 (Cases #1-3)+ 20%*7 (Case #4) + 30%*7 (Case #5) + 38%*6 (Case #6) = 6.26)
ProbSC, % - the calculated chance to see a certain rune when hitting the SC (with 65,536 seeds). ProbSC, % = CountSC / 65,536
At first glance, the conclusions are discouraging for my start-topic. Indeed, only Jah and Ber runes display higher dropping probabilities as compared to other rune-harvesting places; where the theoretical values should be considered (for either monsters or chests without the known final pattern count). Only one sole Zod count (4 total Zod patterns add up to 1 count) is a huge disappointment for my hopes. So, it is always 1 out of 65,536, as it looks like.
On the other hand, it might be not so bad after all. First, Jah and Ber are the most sought high runes in game and having such a big advantage in probabilities should definitely result in considering Act V SC runs as an alternative for LK for these runes. Yes, I know, 3 patterns for Ber there, 11 for Sur, 6 chests in one run, do the math. But! It was a long time road before the optimal (time-wise) strategy was discovered there, and who knows what is the best strategy here, in Act V? There are 3 chests in three mini-levels: with a proper map the triple chest-run might be something more rewarding. The research has not been done in full to discard the Act V SC rune-hunting strategy as non-profitable. Is there a map of a mini-level that, for instance, spirals around for just a couple TPs to the chest from the portal? We don’t know. Is the S&E lag dependant on the time spent in the mini-level? How get rid of it? Because sometimes there is no lagging. There was no lagging during my long runs on the first Map. Many question for research and investigation.
Second, Cham probabilities equal its theoretical values. So it comes to a math after all, which is different for each character: what is the less time-consuming way that gives the biggest probabilities for Cham? Counsels, Cows or maybe Act V SpecialChests: killing or running, that is a question. At least, right now there is a new evaluated opportunity for HR-hunting.
However, I still have doubts that we comprehend the full picture. The main reason for this is the following table of my 9,700 IP SC runs:
Code:
Rune Prob, % ExpSC(9,700) IP SC(9,700)
Zod 0.019 0.20 1
Cham 0.025 0.26 1
Jah 0.076 0.79 0
Ber 0.068 0.71 2
Sur 0.102 1.07 1
Lo 0.092 0.96 2
Ohm 0.138 1.44 2
Vex 0.130 1.36 0
Gul 0.196 2.05 5
HR(Gul+) 0.846 8.84 14
Prob, % - probability of a dropped rune to be a certain rune (see above)
ExpSC(9,700) – the expected amount of a certain rune from the SC after 9,700 runs. ExpSC(9,700) = Prob, %*9,700*10.77%
IP SC(9,700) – the actual amount of a certain rune found from the SC after 9,700 runs
Don’t you think it is too much just for “blind luck”?
Well, logically there are only 2 ways:
(A) That is just luck.
(B) There was something that had influenced the outcome of my runs in IP.
To prove (A) is the case I need to reject (B).
@Fruit would you be so kind as to help me with this?
What I have in mind is to find out if the Case-dependant running code could be somehow influenced by other factors, like the map, the monsters around, the # of TPs, etc. The observations that were proven active for LK armor stands, for example. Thus, if the program somehow forces the certain scenario (Case 1-6) after the repeating the same procedure – then the 1-10,000 random roll is NOT RANDOM at all. Thus, if I would stick to Case, let us say, #4 (20%) most of the time – then my runic outcome would be much more rewarding, than if the Cases are truly random. That is my logic.
Now, the way to prove or invalidate this hypothesis is to check the real outcome for my HR’s patterns and compare the Cases. I hope, Fruit, you will help me out when you get a chance!
Map #1 (runs 1-2,000)
Ist_1_IP : Ancient Axe, Demonhide Gloves, Embossed Plate, Full Helm, Mace, Tiara, Tomahawk, Two-Handed Sword
Ist_2_IP : Balrog Blade, Barbed Club, Battle Staff, Broad Sword
Gul_1_IP #1: Axe, Blade Talons, Dirk, Breast Plate, Gauntlets, Gladius, Loricated Mail, Splint Mail, Two-Handed Sword
Ohm_1_IP: Great Sword, Kite Shield, Poleaxe, Royal Shield
Lo_1_IP : Thul Rune; Breast Plate, Broad Axe
Cham_1_IP: Eth Rune; Chain Mail, Cloudy Sphere, Great Axe, Maul, Ring
Zod_1_IP: Bone Wand, Demonhide Sash, Dragon Shield, Heraldic Shield, Light Plated Boots, Partizan, Short Spear (Dragon Shield, Heraldic Shield, Light Plated Boots, and Partizan should be added – video checked)
Map #2 (runs 2,001-9,700)
Pul_1_IP: Assault Helmet (n.), Gothic Plate, Morning Star
Pul_2_IP: Crossbow, Flamberge, Flamberge, Luna, Mask, Short Spear
Pul_3_IP #1: Bardiche (e./s.), Blade Talons, Crown, Falcion (n.), Giant Axe (l.q.), Mask (l.q.), War Javelin
Pul_3_IP #2: Bardiche (e./s.), Blade Talons, Crown, Falcion (n.), Giant Axe (l.q.), Mask (l.q.), War Javelin
Pul_4_IP: Cestus, Ring, Short Spear, Quhab
Um_1_IP: Amn Rune; Ancient Sword (n.), Hunter’s Guise, Legendary Sword (l.q.), Maul, Military Pick (e./s.), Spiked Club (l.q.)
Um_2_IP: Simbilan, War Fork, War Hummer (l.q.)
Mal_1_IP: Flying Axe (l.q.), Hatchet Hands (l.q.), Short War Bow, Plate Mail, Wyrmhide Boots (l.q.)
Mal_2_IP: Bramble Mitts, Destroyer Helm
Mal_3_IP: Balrog Skin, Demonhide Gloves, Grand Crown, Hellspawn Skull, Razor Bow
Ist_3_IP: Tal Rune; Ancient Sword (l.q.), Balanced Axe (n.), Hunter’s Bow, Military Axe, Partizan (l.q.)
Ist_4_IP : Balanced Axe, Cestus, Chain Mail (l.q.), Full Helm, Great Hauberk (l.q.), Light Belt
Gul_1_IP #2: Axe, Blade Talons, Dirk, Gauntlets, Gladius, Loricated Mail, Splint Mail, Two-Handed Sword
Gul_2_IP #1: Fascia, Gauntlets, Horned Helm, War Spear
Gul_2_IP #2: Fascia, Gauntlets, Horned Helm, War Spear
Gul_3_IP: Amulet, Amulet, Scythe, Spiked Club, War Axe, War Axe
Ohm_2_IP: Breast Plate, Diamond Mail, Ghost Armor, Ghost Wand
Lo_2_IP : Fury Visor, Lance, Long Battle Bow, Maiden Javelin, Troll Nest
Sur_1_IP: Crown (l.q.), Francisca, War Fork (Short Battle Bow came from monsters – video checked)
Ber_1_IP: Tal Rune; Ancient Sword, Axe, Balanced Axe, Chain Mail, Kite Shield
Ber_2_IP: Field Plate, Scutum, Ogre Axe, Protector Shield, Ring, Small Crescent, Shadow Bow, Spider Bow (Shadow Bow should be added – video checked)
@Fruit, I am sorry for asking for such a time-consuming task! If it is too much of an effort, I hope you would figure out how to establish validity of this theory, or disprove it finally. Maybe not all patterns to check? I don't see so far other ways to find out if such a dependence takes place.
Thank you again for your research!