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Farming Studies and Statistics / theoretical individual FG card winning rate
« on: August 18, 2011, 03:08:28 am »I did a few calculation about the chance to drop a card from each False God (FG).
I dont know if it as already being done, so I hope it's not a known fact
The method is:
- List all card from each FG (using the the list of card with their code (http://elementscommunity.org/wiki/resources/list-of-all-cards/) and the deck of each FG (http://elementscommunity.org/wiki/pve/false-gods/) from the wiki)
- I supposed a chance for a winning spin being the Number of cards owned by the FG divided by the total number of non-tower cards. (When I first played the game, FG were dropping Tower , If I remember well. It seems it's not the case anymore)
example: Divine glory as 12 "Morning Glory", a total of 72 cards with 32 towers. So the chance to drop a morning glory is 12 / (72 -32 ) = 30%
- Then I just take the average of all those individual drop rate, which give the rate of winning 1 card in 1 spin.
The result is here :
FG Divine Glory Serket Octane Fire Queen Jezebel Decay Incarnate Osiris Obliterator Akebono Hecate Eternal Phoenix Lionheart Paradox Destiny Gemini Neptune Ferox Graviton Miracle Rainbow Hermes Dark Matter Morte Elidnis Seism Scorpio Chaos Lord Dream Catcher | 1 Spin Win Rate 25% 20% 17% 17% 17% 17% 17% 14% 14% 14% 14% 14% 13% 13% 13% 13% 11% 11% 10% 9% 9% 9% 8% 8% 8% 8% 7% 7% 6% |
You just multiply those rate by 3 (for 3 spin) and the average for all FG is a 38% theoretical chance to win a card
(a bit over the observed 35%! May be because some good ranked FG, Divine Glory or Octane, are a pain for most deck)
Those results explain why I have "plenty" of Fire Queen, Feral Bond, Pharaoh or Morning glory to sell and close to zero Pest , Poison or Quicksand
As I was at it, for the sake of statistic, I just factor in the sell value of each card in those probability.
Example: a Morning Glory (again) could be sold for 1301 Electrum , with its 30% drop-rate, that's a 1 Spin Value of 1301*30%= 390 electrum
Again with an average for each card weighted by its sell value we get :
rank 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 | FG Divine Glory Serket Octane Fire Queen Jezebel Decay Incarnate Osiris Obliterator Akebono Hecate Eternal Phoenix Lionheart Paradox Destiny Gemini Neptune Ferox Graviton Miracle Rainbow Hermes Dark Matter Morte Elidnis Seism Scorpio Chaos Lord Dream Catcher | 1 Spin Win rate 25% 20% 17% 17% 17% 17% 17% 14% 14% 14% 14% 14% 13% 13% 13% 13% 11% 11% 10% 9% 9% 9% 8% 8% 8% 8% 7% 7% 6% | 1 Spin Value 306 246 199 198 195 194 194 175 167 167 166 165 148 147 146 146 133 129 117 109 106 106 100 97 97 97 84 83 69 |
example: Winning against the first 11 FG of this list (from Divine glory to Hecate) grant you as much Card Value as winning against the 18 others. And Dream Catcher sure does not worth the work
On a non related topic. I also listed the frequency of each card in FG deck. Some of you can use that in your deck building (long list and the never used cards are nor listed):
Card Gravity Tower Quantum Tower Water Tower Emerald Tower Aether Tower Stone Tower Burning Tower Time Tower Amethyst Tower Wind Tower Light Tower Ray of Light Obsidian Tower Explosion Bone Tower Twin Universe Supernova Feral Bond Electrum Hourglass Unstoppable Congeal Animate Weapon Fire Lance Gravity Force Improved Steal Improved Blessing Improved Miracle Eagle's Eye Deadly Poison Retrovirus Elite Graboid Massive Dragon Forest Spectre Morning Glory Rewind Abyss Crawler Fractal Elite Queen Siphon Life Rage Elixir Elite Deja Vu Pufferfish Shockwave Pest Graveyard Protect Artifact Chaos Power Leaf Dragon Bone Wall Quicksand Basalt Dragon Black Hole Archangel Fate Egg Pharaoh Phase Recluse Unstable Gas Voodoo Doll Cloak Vampire Elite Shrieker Micro Abomination Werewolf Fallen Druid Minor Phoenix Lava Destroyer Graviton Firemaster Elite Charger Nymph's Tears Artic Octopus Quintessence Deathstalker Arsenic Elite Otyugh Scorpion Jade Dragon Eternity Ulitharid Permafrost Shield Thunderbolt Phase Shield Elite Phase Dragon Bloodsucker Liquid Shadow Brimstone Eater Fire Storm Overdrive Elite Armagio Giant Frog Elite Cockatrice Physalia Inundation Aether Pendulum Vampire Dagger Improved Plague Flesh Recluse Condor Gnome Gemfinder Heavy Armor Diamond Shield Pulverizer Improved Mutation Butterfly Effect Maxwell's Demon Discord Ruby Dragon Farhenheit Titan Jade Shield Jade Staff Light Dragon Turtle Shield Elite Anubis Arctic Dragon Electrocutor Improved Dusk Ivory Dragon Steel Golem Dissipation Field Fire Buckler Trebuchet Chimera Gravity Nymph Improved Heal Epinephrine Life Nymph Mirror Shield Elite Pegasus Precognition Poseidon Elite Immortal Nightmare Granite Skin Elite Antlion Amethyst Dragon Purple Nymph Gravity Shield Solar Buckler Tower Shield Silurian Dragon Ice Lance Purify | FG own 110 94 94 90 80 72 68 64 58 54 54 52 50 50 44 36 34 34 34 32 28 26 26 26 24 24 24 22 20 20 20 20 20 20 20 20 18 18 18 18 18 18 16 16 16 16 16 16 14 14 14 14 14 14 14 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 10 10 10 10 10 10 10 10 10 8 8 8 8 8 8 8 8 8 8 8 8 8 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 2 2 2 2 2 2 2 2 2 2 2 |
And the enormous number of "Explosion" (or "Steal") explain why I'm always a "Protected Artifact" too far from victory
(sorry for my engrish, it's pretty late here)