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  1. #1
    Player
    Phenidate's Avatar
    Join Date
    Apr 2011
    Location
    Windurst
    Posts
    344
    Character
    Autumn Lovelace
    World
    Sargatanas
    Main Class
    Conjurer Lv 80

    Card Distribution

    Some may find this interesting. Yesterday I ran several dungeons and noted what cards were drawn (I've got two monitors, it was easy)

    Here's the Data(link)

    Its worth noting that over 200 draws, there were numerous 'dry runs' where cards simply did not appear - and I think these runs are statistically significant when they run over 10+ draws.The average was around 19 draws without seeing a given card, and the longest dry spell was a whopping 31 draws in a row! I've annotated the data to note when these runs occur.

    There's also a propensity to see certain cards draw more or less back to back, followed by a few 'random' draws before sticking on another card.

    Bole and Arrow far and away had the highest draw chance at 19%, while Balance and Spear were the lowest at 15%.
    (0)
    Last edited by Phenidate; 07-22-2015 at 07:54 AM.

  2. #2
    Player
    SuzakuCMX's Avatar
    Join Date
    Apr 2011
    Location
    Great Gubal Library
    Posts
    2,034
    Character
    Peach Parfait
    World
    Gilgamesh
    Main Class
    Weaver Lv 70
    They were all around 17%. AKA working as intended.
    (1)

    Peach Parfait/Khulan Angura on Gilgamesh

  3. #3
    Player
    Phenidate's Avatar
    Join Date
    Apr 2011
    Location
    Windurst
    Posts
    344
    Character
    Autumn Lovelace
    World
    Sargatanas
    Main Class
    Conjurer Lv 80
    This statement ignores the dry spells of cards - over 200 card draws they are around 17% sure, but in order you're seeing a lack of certain cards for on average around 19 draws.
    This could just be a bole, arrow, or balance you just won't see for two or three encounters. At all.

    Consider the fact that your chance of not drawing a given card is 5 in 6. To not draw a card in say, 3 draws is (5/6)^3 - which is about a 57% chance.
    (5/6)^19 is ~3%.

    These dry spells happened 14 times during the test - which is pretty dang crazy for something that only has around 3% chance of happening. Yesterday I apparently should have been playing the lottery.
    (0)

  4. #4
    Player
    Alahra's Avatar
    Join Date
    Jul 2014
    Location
    Gridania
    Posts
    1,798
    Character
    Alahra Valkhir
    World
    Balmung
    Main Class
    Reaper Lv 100
    Quote Originally Posted by Phenidate View Post
    This statement ignores the dry spells of cards - over 200 card draws they are around 17% sure, but in order you're seeing a lack of certain cards for on average around 19 draws.
    This could just be a bole, arrow, or balance you just won't see for two or three encounters. At all.

    Consider the fact that your chance of not drawing a given card is 5 in 6. To not draw a card in say, 3 draws is (5/6)^3 - which is about a 57% chance.
    (5/6)^19 is ~3%.

    These dry spells happened 14 times during the test - which is pretty dang crazy for something that only has around 3% chance of happening. Yesterday I apparently should have been playing the lottery.
    The game's RNG has always been seen as fairly swingy, as any serious Crafter or Gatherer will attest to. It seems to get "stuck" on certain number ranges at times. It probably has something to do with the way it's seeded.
    (0)

  5. #5
    Player
    Phenidate's Avatar
    Join Date
    Apr 2011
    Location
    Windurst
    Posts
    344
    Character
    Autumn Lovelace
    World
    Sargatanas
    Main Class
    Conjurer Lv 80
    Then that's an issue with how they're drawing random numbers then. Was there something wrong with the well tested Randoms that comes with nearly every programming language?
    (0)

  6. #6
    Player
    GeekMatt's Avatar
    Join Date
    Sep 2013
    Location
    Ul'Dah
    Posts
    403
    Character
    Stormageddon Oath
    World
    Brynhildr
    Main Class
    Gladiator Lv 90
    Dungeon this morning yielded a crap ton of The Balance--seemed like half my cards drawn. It started before the queue popped and continued to the end of the instance and was kinda beautiful.

    SE RNG though, I probably won't see one for a week.
    (0)

  7. #7
    Player
    Parawill's Avatar
    Join Date
    Sep 2013
    Location
    Lavender Beds
    Posts
    366
    Character
    Spark Joy
    World
    Faerie
    Main Class
    Astrologian Lv 80
    Quote Originally Posted by GeekMatt View Post
    Dungeon this morning yielded a crap ton of The Balance--seemed like half my cards drawn. It started before the queue popped and continued to the end of the instance and was kinda beautiful.

    SE RNG though, I probably won't see one for a week.
    In one Ravana EX run, I had enough Balances to last 2 minutes straight. I think it might happen again before 2016, but we'll see.
    (1)

  8. #8
    Player
    _slowpoke_'s Avatar
    Join Date
    May 2015
    Posts
    211
    Character
    Yayadon Yadon
    World
    Cerberus
    Main Class
    White Mage Lv 70
    Quote Originally Posted by Phenidate View Post
    Its worth noting that over 200 draws, there were numerous 'dry runs' where cards simply did not appear - and I think these runs are statistically significant when they run over 10+ draws.The average was around 19 draws without seeing a given card, and the longest dry spell was a whopping 31 draws in a row! I've annotated the data to note when these runs occur.
    I have highlighted the problem with your method. Come back when you have data for at least 200.000 draws.

    I am continually amazed how little most people understand statistics and randomness.
    (2)

  9. #9
    Player
    HeavensSword's Avatar
    Join Date
    Dec 2014
    Location
    Ul'dah
    Posts
    338
    Character
    Marik Landzaat
    World
    Leviathan
    Main Class
    Dragoon Lv 70
    Quote Originally Posted by Phenidate View Post
    Then that's an issue with how they're drawing random numbers then. Was there something wrong with the well tested Randoms that comes with nearly every programming language?
    I'm willing to bet there's nothing wrong with how they generate random numbers...

    The problem you are having is that it is random.
    (0)

  10. #10
    Player
    DarkerOrange's Avatar
    Join Date
    Jul 2014
    Location
    Gridania
    Posts
    349
    Character
    E'dok Edok
    World
    Masamune
    Main Class
    Ninja Lv 70
    What people always seem to miss is that drawing 12 Bole cards in a row has exactly the same probability as drawing 1 of each card in order twice in a row.

    Drawing a certain type of card has absolutely no impact on what the next card will be. Each draw is a mutually exclusive event.

    We as humans will always subconsciously try to find patterns where none exist.
    (4)

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