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Author Topic: How random are boards on Goko?  (Read 11371 times)

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synpax

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How random are boards on Goko?
« on: May 07, 2013, 01:10:44 am »
0

I don't think the card selection seems as random as it should be. Some cards show up way too often (pearl diver, wishing well) and some seem to almost never show up (Catacombs).

I own all decks.
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Kirian

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Re: How random are boards on Goko?
« Reply #1 on: May 07, 2013, 01:16:07 am »
+1

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DStu

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Re: How random are boards on Goko?
« Reply #2 on: May 07, 2013, 01:39:41 am »
0

The effect is:
You have ~200 cards, and draw ~10 of them each game. That means on average, you expect to see each card on average every 20th game.  But you don't play that much to really reach that average, say you play 100 games, so the average for each card is 5., but for a specific card, you shouldn't be too surprised to see them only 3 or even 7 times [haven't calculated the probability for this, just a feeling].
Now, you don't talk about a specific card. You talk about all cards.  And the probability that out of these 200 cards at least one card does something "unusual", like only showing up 1 or 2 times or even 10 times, is about 200 times as likely as if you only consider 1 cards.  So if you consider a large bunch of cards, you shouldn't be surprised  if 1 or 2 should does something that sounds really unusual.
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RTT

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Re: How random are boards on Goko?
« Reply #3 on: May 07, 2013, 02:04:19 am »
+1

mh wishing well and pearl diver never show up for me...

I really should buy intrigue and seaside.

Catacombs show up very often in my games.
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qmech

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Re: How random are boards on Goko?
« Reply #4 on: May 07, 2013, 02:25:37 am »
0

Did we ever get confirmation on how the random Kingdoms are selected?  When onigame posted his Kingdom selector there was a suggestion that it might be used by Goko.  I started collecting a few of the rarer combos that had come up here.
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Davio

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Re: How random are boards on Goko?
« Reply #5 on: May 07, 2013, 09:05:18 am »
0

I don't think the card selection seems as random as it should be. Some cards show up way too often (pearl diver, wishing well) and some seem to almost never show up (Catacombs).

I own all decks.
I can understand the sentiment, but the sample size is probably too low to really draw any conclusions from.
Anyone care grabbing every log, backtracking which user has which set, to determine whether Goko is acceptably random?
Of course they had a bug which screwed Colonies showing up that they haven't fixed until a couple of weeks ago.
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DStu

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Re: How random are boards on Goko?
« Reply #6 on: May 07, 2013, 09:17:20 am »
0

I don't think the card selection seems as random as it should be. Some cards show up way too often (pearl diver, wishing well) and some seem to almost never show up (Catacombs).

I own all decks.
I can understand the sentiment, but the sample size is probably too low to really draw any conclusions from.
Anyone care grabbing every log, backtracking which user has which set, to determine whether Goko is acceptably random?
Of course they had a bug which screwed Colonies showing up that they haven't fixed until a couple of weeks ago.

Say I would have ~1 week of logs in a database in which 'cardname' is a column.  Anyone want to give me an elegant SQL-statement which gives me the number of games the card shows up for each card?
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Kirian

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Re: How random are boards on Goko?
« Reply #7 on: May 07, 2013, 09:20:16 am »
+1

With all the cards available on Goko, the chance of a given card appearing in a kingdom is 10/190 = 5.2%.  The chance of it appearing in two kingdoms in a row is (10/190)^2 = 0.27%.  But there are 10 different cards for which this could be true, i.e., any of the cards in the first kingdom.  That means the chance of any card showing up two games in a row is 2.7%.  That's more than one in 40 pairs of games.  That means that, at ~12000 games a day on Goko, we can expect it to happen 300 times, or about every five minutes.

Humans notice coincidences because they are around to notice.  We don't notice when the same card doesn't show up twice.  Since we remember only the coincidences, they stick out in our minds and "appear" to be the norm... even though they aren't.
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Kirian

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Re: How random are boards on Goko?
« Reply #8 on: May 07, 2013, 09:28:08 am »
+1

I don't think the card selection seems as random as it should be. Some cards show up way too often (pearl diver, wishing well) and some seem to almost never show up (Catacombs).

I own all decks.
I can understand the sentiment, but the sample size is probably too low to really draw any conclusions from.
Anyone care grabbing every log, backtracking which user has which set, to determine whether Goko is acceptably random?
Of course they had a bug which screwed Colonies showing up that they haven't fixed until a couple of weeks ago.

Say I would have ~1 week of logs in a database in which 'cardname' is a column.  Anyone want to give me an elegant SQL-statement which gives me the number of games the card shows up for each card?

Let's see:

SELECT cardname, count(*) FROM your_table GROUP BY cardname;

That ought to return a list of the cards and how many times each appears.
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DStu

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Re: How random are boards on Goko?
« Reply #9 on: May 07, 2013, 09:30:50 am »
0

Arrgh, GROUP BY.  Should have known that.  But thanks.
Edit: Results will probably not say much because Adventures...
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Davio

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Re: How random are boards on Goko?
« Reply #10 on: May 07, 2013, 09:31:21 am »
+1

I don't think the card selection seems as random as it should be. Some cards show up way too often (pearl diver, wishing well) and some seem to almost never show up (Catacombs).

I own all decks.
I can understand the sentiment, but the sample size is probably too low to really draw any conclusions from.
Anyone care grabbing every log, backtracking which user has which set, to determine whether Goko is acceptably random?
Of course they had a bug which screwed Colonies showing up that they haven't fixed until a couple of weeks ago.

Say I would have ~1 week of logs in a database in which 'cardname' is a column.  Anyone want to give me an elegant SQL-statement which gives me the number of games the card shows up for each card?
SELECT cardname, COUNT(*)
FROM table
GROUP BY cardname
 ???

I guess you can infer the sets from the chosen cards, but there's a pretty big chance that with all cards available to a player certain sets are skipped. So you could have Dark Ages, but not have DA cards appear. Can you still discover that the player had DA and that those cards were skipped?
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DStu

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Re: How random are boards on Goko?
« Reply #11 on: May 07, 2013, 09:36:42 am »
0

I guess you can infer the sets from the chosen cards, but there's a pretty big chance that with all cards available to a player certain sets are skipped. So you could have Dark Ages, but not have DA cards appear. Can you still discover that the player had DA and that those cards were skipped?

I did infer sets (that's actually why the data is in the database), and I'm pretty sure that it gives you quite good results.  Of course there will be someone where some set is missed, but most people will play more than one game, and the chances that one set is missed for all the games they play (which will probably be >>10 if they spend $40) is pretty small.
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Davio

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Re: How random are boards on Goko?
« Reply #12 on: May 07, 2013, 09:56:17 am »
0

Okay, so you first check which usernames have which sets, with a high degree of probability, I agree.
Then you can check which games (as hosted by a certain username) have used which sets to get their cards from.

But can you also check whether the games in fact used a random or predetermined setup? This might skew the results a lot, never mind the adventures.
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DStu

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Re: How random are boards on Goko?
« Reply #13 on: May 07, 2013, 09:59:37 am »
0

Okay, so you first check which usernames have which sets, with a high degree of probability, I agree.
Then you can check which games (as hosted by a certain username) have used which sets to get their cards from.

But can you also check whether the games in fact used a random or predetermined setup? This might skew the results a lot, never mind the adventures.
Don't know if we are taking about the same thing.

So I did check for possession of sets, which is quite easy.  You hosted a game with it, so you own it.  The other direction is not true, but error should be small.

I was thinking about looking if all cards from one set are seen with equal probability, which is probably worthless, because as you said, adventures and custom setup.
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LastFootnote

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Re: How random are boards on Goko?
« Reply #14 on: May 07, 2013, 11:50:25 am »
+3

When onigame posted his Kingdom selector there was a suggestion that it might be used by Goko.

It was used by Goko for a while. Then there was backlash against it and I believe it was removed.

I guess I shouldn't talk about the backlash as if I wasn't a part of it. I am a strong opponent of onigame's Kingdom generator.
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HiveMindEmulator

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Re: How random are boards on Goko?
« Reply #15 on: May 07, 2013, 12:21:22 pm »
+4

With all the cards available on Goko, the chance of a given card appearing in a kingdom is 10/190 = 5.2%.  The chance of it appearing in two kingdoms in a row is (10/190)^2 = 0.27%.  But there are 10 different cards for which this could be true, i.e., any of the cards in the first kingdom.  That means the chance of any card showing up two games in a row is 2.7%.  That's more than one in 40 pairs of games.  That means that, at ~12000 games a day on Goko, we can expect it to happen 300 times, or about every five minutes.

It's actually a bit more likely than this. You're calculating the probability of seeing one of 10 cards in each of the next two kingdoms. This is more like the probability of seeing a card 3 times in a row, since you're choosing the 10 cards (could be the ones in the first kingdom you play) and computing the probability they show up two MORE times.

The probability of having a kingdom with no cards repeating from the previous kingdom is (180 choose 10)/(190 choose 10) = 0.574, which makes the probability of having at least one repeat card 0.426. So nearly half the time, there's going to be at least one repeat card.
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Kirian

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Re: How random are boards on Goko?
« Reply #16 on: May 07, 2013, 03:39:12 pm »
0

So that was actually the first calculation I did, HME, and I couldn't believe the answer was that high.  I need to remember that randomness is crazier than we want to believe.
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DStu

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Re: How random are boards on Goko?
« Reply #17 on: May 07, 2013, 03:55:41 pm »
+3

Here we go:
Code: [Select]
+---------------------+---------------------+----------+
| sets                | card                | COUNT(*) |
+---------------------+---------------------+----------+
| Alchemy             | Philosopher's Stone |      817 |
| Alchemy             | Scrying Pool        |      825 |
| Alchemy             | Golem               |      934 |
| Alchemy             | Apprentice          |      893 |
| Alchemy             | Apothecary          |      886 |
| Alchemy             | University          |      883 |
| Alchemy             | Alchemist           |      935 |
| Alchemy             | Herbalist           |      863 |
| Alchemy             | Vineyard            |      903 |
| Alchemy             | Familiar            |      936 |
| Alchemy             | Possession          |      829 |
| Alchemy             | Transmute           |      865 |
| AlchemyBaseCards    | Potion              |     5502 |
| BaseCards           | Copper              |    81926 |
| BaseCards           | Fool's Gold         |      922 |
| BaseCards           | Province            |    81926 |
| BaseCards           | Estate              |    81926 |
| BaseCards           | Silver              |    81926 |
| BaseCards           | Coppersmith         |     1229 |
| BaseCards           | Curse               |    81172 |
| BaseCards           | Duchy               |    81926 |
| BaseCards           | Gold                |    81545 |
| Cornucopia          | Fortune Teller      |      787 |
| Cornucopia          | Fairgrounds         |      820 |
| Cornucopia          | Hunting Party       |      884 |
| Cornucopia          | Horse Traders       |      869 |
| Cornucopia          | Hamlet              |      879 |
| Cornucopia          | Horn of Plenty      |      901 |
| Cornucopia          | Remake              |      780 |
| Cornucopia          | Menagerie           |      946 |
| Cornucopia          | Harvest             |      837 |
| Cornucopia          | Jester              |      904 |
| Cornucopia          | Tournament          |      967 |
| DarkAges1           | Ironmonger          |      949 |
| DarkAges1           | Counterfeit         |      875 |
| DarkAges1           | Procession          |      967 |
| DarkAges1           | Scavenger           |      937 |
| DarkAges1           | Altar               |      950 |
| DarkAges1           | Count               |      803 |
| DarkAges1           | Vagrant             |      930 |
| DarkAges1           | Bandit Camp         |      968 |
| DarkAges1           | Cultist             |      975 |
| DarkAges1           | Fortress            |      988 |
| DarkAges1           | Band of Misfits     |      919 |
| DarkAges1           | Sage                |      981 |
| DarkAges1           | Armory              |      836 |
| DarkAges2           | Death Cart          |      835 |
| DarkAges2           | Wandering Minstrel  |      885 |
| DarkAges2           | Junk Dealer         |      778 |
| DarkAges2           | Pillage             |      918 |
| DarkAges2           | Rebuild             |      810 |
| DarkAges2           | Beggar              |      827 |
| DarkAges2           | Rats                |      888 |
| DarkAges2           | Catacombs           |      790 |
| DarkAges2           | Mystic              |      834 |
| DarkAges2           | Forager             |      934 |
| DarkAges2           | Feodum              |      823 |
| DarkAges3           | Hermit              |      885 |
| DarkAges3           | Urchin              |      859 |
| DarkAges3           | Marauder            |      782 |
| DarkAges3           | Hunting Grounds     |      802 |
| DarkAges3           | Poor House          |      801 |
| DarkAges3           | Knights             |      900 |
| DarkAges3           | Graverobber         |      824 |
| DarkAges3           | Storeroom           |      791 |
| DarkAges3           | Rogue               |      784 |
| DarkAges3           | Squire              |      930 |
| DarkAgesBaseCards   | Ruins               |     2450 |
| Dominion            | Cellar              |    25647 |
| Dominion            | Fishing Village     |     1552 |
| Dominion            | Young Witch         |      737 |
| Dominion            | Village             |    31397 |
| Dominion            | Native Village      |     1162 |
| Dominion            | Laboratory          |    27198 |
| Dominion            | Witch               |    26520 |
| Dominion            | Festival            |    25309 |
| Dominion            | Smithy              |    23738 |
| Dominion            | Chancellor          |    24154 |
| Dominion            | Mine                |    25481 |
| Dominion            | Gardens             |    25869 |
| Dominion            | Library             |    23466 |
| Dominion            | Moneylender         |    24479 |
| Dominion            | Farming Village     |      885 |
| Dominion            | Chapel              |    25234 |
| Dominion            | Worker's Village    |     1634 |
| Dominion            | Workshop            |    26441 |
| Dominion            | Market              |    28128 |
| Dominion            | Woodcutter          |    23259 |
| Dominion            | Grand Market        |     1612 |
| Dominion            | Mining Village      |     1346 |
| Dominion            | Moat                |    26494 |
| Dominion            | Council Room        |    24152 |
| Dominion            | Militia             |    22184 |
| Dominion            | Thief               |    27075 |
| Dominion            | Spy                 |    25573 |
| Dominion            | Border Village      |     1137 |
| Dominion            | Walled Village      |       53 |
| Dominion            | Remodel             |    28937 |
| Dominion            | Adventurer          |    24611 |
| Dominion            | Bureaucrat          |    23959 |
| Dominion            | Throne Room         |    26152 |
| Dominion            | Feast               |    23609 |
| Dominion            | Market Square       |      931 |
| Hinterlands1        | Nomad Camp          |      929 |
| Hinterlands1        | Spice Merchant      |      989 |
| Hinterlands1        | Cache               |      990 |
| Hinterlands1        | Scheme              |      876 |
| Hinterlands1        | Stables             |      824 |
| Hinterlands1        | Haggler             |     1093 |
| Hinterlands1        | Ill-Gotten Gains    |      817 |
| Hinterlands1        | Mandarin            |      824 |
| Hinterlands1        | Develop             |      934 |
| Hinterlands1        | Duchess             |      943 |
| Hinterlands1        | Trader              |      923 |
| Hinterlands2        | Inn                 |      933 |
| Hinterlands2        | Highway             |      975 |
| Hinterlands2        | Embassy             |      817 |
| Hinterlands2        | Cartographer        |      839 |
| Hinterlands2        | Noble Brigand       |      920 |
| Hinterlands2        | Crossroads          |      995 |
| Hinterlands2        | Farmland            |      861 |
| Hinterlands2        | Silk Road           |      937 |
| Hinterlands2        | Tunnel              |      940 |
| Hinterlands2        | Oasis               |      905 |
| Hinterlands2        | Oracle              |      870 |
| Hinterlands2        | JackOfAllTrades     |      817 |
| Hinterlands2        | Margrave            |      907 |
| Intrigue1           | Tribute             |     1227 |
| Intrigue1           | Masquerade          |     1174 |
| Intrigue1           | Scout               |     1149 |
| Intrigue1           | Duke                |     1147 |
| Intrigue1           | Shanty Town         |     1340 |
| Intrigue1           | Great Hall          |     1266 |
| Intrigue1           | Nobles              |     1491 |
| Intrigue1           | Wishing Well        |     1284 |
| Intrigue1           | Harem               |     1227 |
| Intrigue1           | Ironworks           |     1151 |
| Intrigue1           | Torturer            |     1150 |
| Intrigue1           | Upgrade             |     1268 |
| Intrigue2           | Minion              |     1092 |
| Intrigue2           | Secret Chamber      |     1078 |
| Intrigue2           | Trading Post        |     1213 |
| Intrigue2           | Conspirator         |     1222 |
| Intrigue2           | Steward             |     1246 |
| Intrigue2           | Courtyard           |     1075 |
| Intrigue2           | Swindler            |     1276 |
| Intrigue2           | Saboteur            |     1093 |
| Intrigue2           | Bridge              |     1236 |
| Intrigue2           | Pawn                |     1218 |
| Intrigue2           | Baron               |     1132 |
| Promos              | Envoy               |       90 |
| Promos              | Governor            |      111 |
| Prosperity1         | Trade Route         |     1386 |
| Prosperity1         | Vault               |     1416 |
| Prosperity1         | Expand              |     1341 |
| Prosperity1         | King's Court        |     1493 |
| Prosperity1         | Monument            |     1357 |
| Prosperity1         | Forge               |     1516 |
| Prosperity1         | Goons               |     1396 |
| Prosperity1         | City                |     1570 |
| Prosperity1         | Peddler             |     1495 |
| Prosperity1         | Bishop              |     1435 |
| Prosperity1         | Bank                |     1346 |
| Prosperity2         | Rabble              |     1108 |
| Prosperity2         | Loan                |     1222 |
| Prosperity2         | Counting House      |     1234 |
| Prosperity2         | Mountebank          |     1199 |
| Prosperity2         | Royal Seal          |     1219 |
| Prosperity2         | Quarry              |     1255 |
| Prosperity2         | Hoard               |     1285 |
| Prosperity2         | Watchtower          |     1218 |
| Prosperity2         | Talisman            |     1130 |
| Prosperity2         | Mint                |     1089 |
| Prosperity2         | Venture             |     1176 |
| Prosperity2         | Contraband          |     1183 |
| ProsperityBaseCards | Platinum            |     3078 |
| ProsperityBaseCards | Colony              |     3078 |
| Seaside1            | Smugglers           |     1187 |
| Seaside1            | Wharf               |     1168 |
| Seaside1            | Bazaar              |     1219 |
| Seaside1            | Treasury            |     1183 |
| Seaside1            | Warehouse           |     1266 |
| Seaside1            | Ambassador          |     1104 |
| Seaside1            | Cutpurse            |     1179 |
| Seaside1            | Pearl Diver         |     1208 |
| Seaside1            | Caravan             |     1282 |
| Seaside1            | Embargo             |     1085 |
| Seaside1            | Salvager            |     1065 |
| Seaside1            | Outpost             |     1170 |
| Seaside2            | Treasure Map        |     1113 |
| Seaside2            | Ghost Ship          |     1192 |
| Seaside2            | Island              |     1280 |
| Seaside2            | Lighthouse          |     1376 |
| Seaside2            | Pirate Ship         |     1182 |
| Seaside2            | Lookout             |     1238 |
| Seaside2            | Merchant Ship       |     1309 |
| Seaside2            | Tactician           |     1072 |
| Seaside2            | Navigator           |     1330 |
| Seaside2            | Explorer            |     1292 |
| Seaside2            | Sea Hag             |     1097 |
| Seaside2            | Haven               |     1380 |
+---------------------+---------------------+----------+

and yes, I just saw that Fool's Gold is in BaseCards.  Thought I terminated that regexp...
And it's only two days, not just week.  The week is some other database with less info.
« Last Edit: May 07, 2013, 03:57:02 pm by DStu »
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theory

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Re: How random are boards on Goko?
« Reply #18 on: May 07, 2013, 04:00:09 pm »
0

Maybe produce an average for each set (e.g., the average Alchemy card appears X times) and then show each card's deviation from their set average.  This could help you identify outliers more easily.

In Alchemy for example, there seems to be some kind of deviation towards Golem/Familiar/Alchemist for some reason.
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michaeljb

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Re: How random are boards on Goko?
« Reply #19 on: May 07, 2013, 04:07:58 pm »
0

and yes, I just saw that Fool's Gold is in BaseCards.

Also Coppersmith :P

And looks like all the "Villages" are in Dominion...Grand Market, Young Witch, and Market Square too.
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clb

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Re: How random are boards on Goko?
« Reply #20 on: May 07, 2013, 04:45:49 pm »
0

and yes, I just saw that Fool's Gold is in BaseCards.

Also Coppersmith :P

And looks like all the "Villages" are in Dominion...Grand Market, Young Witch, and Market Square too.

So, Copper and Coppersmith (all things "village", "witch", and "market" too) are indistinguishable in the current code? I don't know much there, but it seems that could be teased out?
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Beyond Awesome

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Re: How random are boards on Goko?
« Reply #21 on: May 08, 2013, 01:14:36 am »
0

Is anyone else with the Governor promo having Governor showing up every other game because that is what happened to me today.
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DStu

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Re: How random are boards on Goko?
« Reply #22 on: May 08, 2013, 01:25:08 am »
0

and yes, I just saw that Fool's Gold is in BaseCards.

Also Coppersmith :P

And looks like all the "Villages" are in Dominion...Grand Market, Young Witch, and Market Square too.

So, Copper and Coppersmith (all things "village", "witch", and "market" too) are indistinguishable in the current code? I don't know much there, but it seems that could be teased out?
Of course it can.   How that happend: I first scanned the sets with a bash-script which doesn't make this mistake (afaik), more or lesss because cards in the supply are terminated by commas, so if you search for ', Village,', you will only find real Villages.
However, moving this to perl I splitted the supply at ',', so I lost that.  Should instead scan for start and end of string, which is 'ˆ((Cellar)|(Chancellor)|...|(Adventurer))$'.
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Robz888

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Re: How random are boards on Goko?
« Reply #23 on: May 08, 2013, 01:36:55 am »
+2

Is anyone else with the Governor promo having Governor showing up every other game because that is what happened to me today.

I am the only person who would love that.
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DStu

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Re: How random are boards on Goko?
« Reply #24 on: May 08, 2013, 03:17:29 am »
+1

Maybe produce an average for each set (e.g., the average Alchemy card appears X times) and then show each card's deviation from their set average.  This could help you identify outliers more easily.

In Alchemy for example, there seems to be some kind of deviation towards Golem/Familiar/Alchemist for some reason.

Here you go, corrected for Copper, Village et al and adding yesterdays data
Code: [Select]
+---------------------+---------------------+--------+------------+------------------+
| sets                | card                | count  | diff       | normed diff in % |
+---------------------+---------------------+--------+------------+------------------+
| Alchemy             | Philosopher's Stone |   1268 |   -82.3333 |      -6.09725762 |
| Alchemy             | Scrying Pool        |   1263 |   -87.3333 |      -6.46753657 |
| Alchemy             | Golem               |   1449 |    98.6667 |       7.30684047 |
| Alchemy             | Apprentice          |   1374 |    23.6667 |       1.75265618 |
| Alchemy             | Apothecary          |   1338 |   -12.3333 |      -0.91335228 |
| Alchemy             | University          |   1360 |     9.6667 |       0.71587511 |
| Alchemy             | Alchemist           |   1420 |    69.6667 |       5.15922254 |
| Alchemy             | Herbalist           |   1299 |   -51.3333 |      -3.80152811 |
| Alchemy             | Vineyard            |   1379 |    28.6667 |       2.12293513 |
| Alchemy             | Familiar            |   1436 |    85.6667 |       6.34411519 |
| Alchemy             | Possession          |   1270 |   -80.3333 |      -5.94914604 |
| Alchemy             | Transmute           |   1348 |    -2.3333 |      -0.17279438 |
| AlchemyBaseCards    | Potion              |   8617 |     0.0000 |       0.00000000 |
| BaseCards           | Gold                | 118317 |  -334.5714 |      -0.28197806 |
| BaseCards           | Copper              | 118933 |   281.4286 |       0.23718910 |
| BaseCards           | Province            | 118933 |   281.4286 |       0.23718910 |
| BaseCards           | Estate              | 118933 |   281.4286 |       0.23718910 |
| BaseCards           | Silver              | 118933 |   281.4286 |       0.23718910 |
| BaseCards           | Curse               | 117579 | -1072.5714 |      -0.90396729 |
| BaseCards           | Duchy               | 118933 |   281.4286 |       0.23718910 |
| Cornucopia          | Fortune Teller      |   1273 |  -106.3077 |      -7.70732303 |
| Cornucopia          | Fairgrounds         |   1347 |   -32.3077 |      -2.34231274 |
| Cornucopia          | Young Witch         |   1167 |  -212.3077 |     -15.39233776 |
| Cornucopia          | Hunting Party       |   1427 |    47.6923 |       3.45769838 |
| Cornucopia          | Horse Traders       |   1368 |   -11.3077 |      -0.81980982 |
| Cornucopia          | Hamlet              |   1390 |    10.6923 |       0.77519324 |
| Cornucopia          | Farming Village     |   1434 |    54.6923 |       3.96519935 |
| Cornucopia          | Horn of Plenty      |   1437 |    57.6923 |       4.18269977 |
| Cornucopia          | Remake              |   1278 |  -101.3077 |      -7.34482233 |
| Cornucopia          | Menagerie           |   1477 |    97.6923 |       7.08270533 |
| Cornucopia          | Harvest             |   1327 |   -52.3077 |      -3.79231552 |
| Cornucopia          | Jester              |   1476 |    96.6923 |       7.01020519 |
| Cornucopia          | Tournament          |   1530 |   150.6923 |      10.92521270 |
| DarkAges1           | Armory              |   1257 |  -144.5833 |     -10.31571224 |
| DarkAges1           | Ironmonger          |   1419 |    17.4167 |       1.24264466 |
| DarkAges1           | Procession          |   1426 |    24.4167 |       1.74207983 |
| DarkAges1           | Scavenger           |   1393 |    -8.5833 |      -0.61240028 |
| DarkAges1           | Altar               |   1465 |    63.4167 |       4.52464723 |
| DarkAges1           | Count               |   1229 |  -172.5833 |     -12.31345294 |
| DarkAges1           | Vagrant             |   1391 |   -10.5833 |      -0.75509604 |
| DarkAges1           | Bandit Camp         |   1444 |    42.4167 |       3.02634171 |
| DarkAges1           | Cultist             |   1516 |   114.4167 |       8.16338922 |
| DarkAges1           | Fortress            |   1468 |    66.4167 |       4.73869088 |
| DarkAges1           | Band of Misfits     |   1362 |   -39.5833 |      -2.82418462 |
| DarkAges1           | Sage                |   1449 |    47.4167 |       3.38308112 |
| DarkAges2           | Market Square       |   1438 |   131.2500 |      10.04400230 |
| DarkAges2           | Death Cart          |   1281 |   -25.7500 |      -1.97053759 |
| DarkAges2           | Wandering Minstrel  |   1333 |    26.2500 |       2.00880046 |
| DarkAges2           | Junk Dealer         |   1211 |   -95.7500 |      -7.32733882 |
| DarkAges2           | Pillage             |   1430 |   123.2500 |       9.43179644 |
| DarkAges2           | Rebuild             |   1238 |   -68.7500 |      -5.26114406 |
| DarkAges2           | Beggar              |   1272 |   -34.7500 |      -2.65926918 |
| DarkAges2           | Rats                |   1325 |    18.2500 |       1.39659460 |
| DarkAges2           | Catacombs           |   1194 |  -112.7500 |      -8.62827626 |
| DarkAges2           | Mystic              |   1267 |   -39.7500 |      -3.04189784 |
| DarkAges2           | Forager             |   1434 |   127.2500 |       9.73789937 |
| DarkAges2           | Feodum              |   1258 |   -48.7500 |      -3.73062942 |
| DarkAges3           | Squire              |   1398 |   120.8182 |       9.45974958 |
| DarkAges3           | Hermit              |   1379 |   101.8182 |       7.97209920 |
| DarkAges3           | Counterfeit         |   1357 |    79.8182 |       6.24955664 |
| DarkAges3           | Urchin              |   1310 |    32.8182 |       2.56957937 |
| DarkAges3           | Marauder            |   1160 |  -117.1818 |      -9.17502896 |
| DarkAges3           | Hunting Grounds     |   1247 |   -30.1818 |      -2.36315613 |
| DarkAges3           | Poor House          |   1217 |   -60.1818 |      -4.71207780 |
| DarkAges3           | Knights             |   1322 |    44.8182 |       3.50914803 |
| DarkAges3           | Graverobber         |   1283 |     5.8182 |       0.45554987 |
| DarkAges3           | Storeroom           |   1182 |   -95.1818 |      -7.45248640 |
| DarkAges3           | Rogue               |   1194 |   -83.1818 |      -6.51291774 |
| DarkAgesBaseCards   | Ruins               |   3761 |     0.0000 |       0.00000000 |
| Dominion            | Feast               |  33373 | -3022.8800 |      -8.30555546 |
| Dominion            | Cellar              |  36335 |   -60.8800 |      -0.16727168 |
| Dominion            | Village             |  45843 |  9447.1200 |      25.95656431 |
| Dominion            | Laboratory          |  39038 |  2642.1200 |       7.25939310 |
| Dominion            | Witch               |  38311 |  1915.1200 |       5.26191426 |
| Dominion            | Festival            |  35725 |  -670.8800 |      -1.84328556 |
| Dominion            | Smithy              |  34266 | -2129.8800 |      -5.85198105 |
| Dominion            | Chancellor          |  33990 | -2405.8800 |      -6.61030864 |
| Dominion            | Mine                |  36481 |    85.1200 |       0.23387263 |
| Dominion            | Gardens             |  36841 |   445.1200 |       1.22299557 |
| Dominion            | Library             |  32838 | -3557.8800 |      -9.77550206 |
| Dominion            | Moneylender         |  34544 | -1851.8800 |      -5.08815833 |
| Dominion            | Chapel              |  35999 |  -396.8800 |      -1.09045310 |
| Dominion            | Workshop            |  37768 |  1372.1200 |       3.76998715 |
| Dominion            | Market              |  39820 |  3424.1200 |       9.40798794 |
| Dominion            | Woodcutter          |  33262 | -3133.8800 |      -8.61053504 |
| Dominion            | Moat                |  37719 |  1323.1200 |       3.63535653 |
| Dominion            | Council Room        |  33919 | -2476.8800 |      -6.80538566 |
| Dominion            | Militia             |  31186 | -5209.8800 |     -14.31447735 |
| Dominion            | Thief               |  38728 |  2332.1200 |       6.40764834 |
| Dominion            | Spy                 |  36194 |  -201.8800 |      -0.55467817 |
| Dominion            | Remodel             |  41338 |  4942.1200 |      13.57878969 |
| Dominion            | Adventurer          |  35229 | -1166.8800 |      -3.20607717 |
| Dominion            | Bureaucrat          |  34015 | -2380.8800 |      -6.54161955 |
| Dominion            | Throne Room         |  37135 |   739.1200 |       2.03077931 |
| Hinterlands1        | Fool's Gold         |   1416 |   -40.2308 |      -2.76266647 |
| Hinterlands1        | Nomad Camp          |   1402 |   -54.2308 |      -3.72405253 |
| Hinterlands1        | Spice Merchant      |   1515 |    58.7692 |       4.03570643 |
| Hinterlands1        | Cache               |   1499 |    42.7692 |       2.93697950 |
| Hinterlands1        | Scheme              |   1396 |   -60.2308 |      -4.13607513 |
| Hinterlands1        | Stables             |   1262 |  -194.2308 |     -13.33791319 |
| Hinterlands1        | Haggler             |   1647 |   190.7692 |      13.10020362 |
| Hinterlands1        | Ill-Gotten Gains    |   1349 |  -107.2308 |      -7.36358550 |
| Hinterlands1        | Mandarin            |   1266 |  -190.2308 |     -13.06323146 |
| Hinterlands1        | Develop             |   1452 |    -4.2308 |      -0.29053087 |
| Hinterlands1        | Duchess             |   1487 |    30.7692 |       2.11293430 |
| Hinterlands1        | Border Village      |   1783 |   326.7692 |      22.43938255 |
| Hinterlands1        | Trader              |   1457 |     0.7692 |       0.05282130 |
| Hinterlands2        | Inn                 |   1426 |    35.6154 |       2.56155024 |
| Hinterlands2        | Highway             |   1522 |   131.6154 |       9.46611463 |
| Hinterlands2        | Embassy             |   1282 |  -108.3846 |      -7.79529635 |
| Hinterlands2        | Cartographer        |   1364 |   -26.3846 |      -1.89764760 |
| Hinterlands2        | Noble Brigand       |   1404 |    13.6154 |       0.97925423 |
| Hinterlands2        | Crossroads          |   1549 |   158.6154 |      11.40802336 |
| Hinterlands2        | Farmland            |   1328 |   -62.3846 |      -4.48685925 |
| Hinterlands2        | Silk Road           |   1437 |    46.6154 |       3.35269824 |
| Hinterlands2        | Tunnel              |   1401 |    10.6154 |       0.76348659 |
| Hinterlands2        | Oasis               |   1393 |     2.6154 |       0.18810623 |
| Hinterlands2        | Oracle              |   1299 |   -91.3846 |      -6.57261307 |
| Hinterlands2        | JackOfAllTrades     |   1277 |  -113.3846 |      -8.15490908 |
| Hinterlands2        | Margrave            |   1393 |     2.6154 |       0.18810623 |
| Intrigue1           | Upgrade             |   2029 |    45.2308 |       2.28004346 |
| Intrigue1           | Tribute             |   1954 |   -29.7692 |      -1.50063828 |
| Intrigue1           | Masquerade          |   1903 |   -80.7692 |      -4.07150187 |
| Intrigue1           | Scout               |   1809 |  -174.7692 |      -8.80995632 |
| Intrigue1           | Duke                |   1812 |  -171.7692 |      -8.65872905 |
| Intrigue1           | Shanty Town         |   2171 |   187.2308 |       9.43813423 |
| Intrigue1           | Great Hall          |   2058 |    74.2308 |       3.74190707 |
| Intrigue1           | Nobles              |   2322 |   338.2308 |      17.04990681 |
| Intrigue1           | Wishing Well        |   2022 |    38.2308 |       1.92717984 |
| Intrigue1           | Coppersmith         |   2010 |    26.2308 |       1.32227076 |
| Intrigue1           | Harem               |   1962 |   -21.7692 |      -1.09736556 |
| Intrigue1           | Ironworks           |   1878 |  -105.7692 |      -5.33172911 |
| Intrigue1           | Torturer            |   1859 |  -124.7692 |      -6.28950182 |
| Intrigue2           | Bridge              |   1962 |   105.9167 |       5.70646264 |
| Intrigue2           | Pawn                |   1983 |   126.9167 |       6.83787737 |
| Intrigue2           | Baron               |   1782 |   -74.0833 |      -3.99137797 |
| Intrigue2           | Minion              |   1669 |  -187.0833 |     -10.07946680 |
| Intrigue2           | Secret Chamber      |   1690 |  -166.0833 |      -8.94805206 |
| Intrigue2           | Trading Post        |   1868 |    11.9167 |       0.64203476 |
| Intrigue2           | Conspirator         |   1909 |    52.9167 |       2.85098735 |
| Intrigue2           | Steward             |   1942 |    85.9167 |       4.62892479 |
| Intrigue2           | Courtyard           |   1636 |  -220.0833 |     -11.85740424 |
| Intrigue2           | Swindler            |   1992 |   135.9167 |       7.32276940 |
| Intrigue2           | Mining Village      |   2140 |   283.9167 |      15.29654946 |
| Intrigue2           | Saboteur            |   1700 |  -156.0833 |      -8.40928314 |
| Promos              | Envoy               |    139 |    -7.0000 |      -4.79452055 |
| Promos              | Walled Village      |     98 |   -48.0000 |     -32.87671233 |
| Promos              | Governor            |    201 |    55.0000 |      37.67123288 |
| Prosperity1         | Trade Route         |   1987 |  -121.6923 |      -5.77098423 |
| Prosperity1         | Vault               |   2056 |   -52.6923 |      -2.49881408 |
| Prosperity1         | Expand              |   1963 |  -145.6923 |      -6.90913036 |
| Prosperity1         | King's Court        |   2202 |    93.3077 |       4.42490827 |
| Prosperity1         | Monument            |   1942 |  -166.6923 |      -7.90500824 |
| Prosperity1         | Forge               |   2109 |     0.3077 |       0.01459198 |
| Prosperity1         | Goons               |   2040 |   -68.6923 |      -3.25757817 |
| Prosperity1         | Worker's Village    |   2323 |   214.3077 |      10.16306172 |
| Prosperity1         | Grand Market        |   2331 |   222.3077 |      10.54244377 |
| Prosperity1         | City                |   2191 |    82.3077 |       3.90325796 |
| Prosperity1         | Peddler             |   2198 |    89.3077 |       4.23521725 |
| Prosperity1         | Bishop              |   2100 |    -8.6923 |      -0.41221282 |
| Prosperity1         | Bank                |   1971 |  -137.6923 |      -6.52974832 |
| Prosperity2         | Venture             |   1740 |   -36.8333 |      -2.07297443 |
| Prosperity2         | Contraband          |   1689 |   -87.8333 |      -4.94324932 |
| Prosperity2         | Rabble              |   1662 |  -114.8333 |      -6.46280661 |
| Prosperity2         | Loan                |   1848 |    71.1667 |       4.00525474 |
| Prosperity2         | Counting House      |   1862 |    85.1667 |       4.79317334 |
| Prosperity2         | Mountebank          |   1786 |     9.1667 |       0.51590096 |
| Prosperity2         | Royal Seal          |   1819 |    42.1667 |       2.37313765 |
| Prosperity2         | Quarry              |   1878 |   101.1667 |       5.69365173 |
| Prosperity2         | Hoard               |   1872 |    95.1667 |       5.35597234 |
| Prosperity2         | Watchtower          |   1885 |   108.1667 |       6.08761103 |
| Prosperity2         | Talisman            |   1689 |   -87.8333 |      -4.94324932 |
| Prosperity2         | Mint                |   1592 |  -184.8333 |     -10.40239959 |
| ProsperityBaseCards | Platinum            |   5135 |     0.0000 |       0.00000000 |
| ProsperityBaseCards | Colony              |   5135 |     0.0000 |       0.00000000 |
| Seaside1            | Outpost             |   1778 |    -5.1538 |      -0.28902723 |
| Seaside1            | Smugglers           |   1778 |    -5.1538 |      -0.28902723 |
| Seaside1            | Native Village      |   1789 |     5.8462 |       0.32785731 |
| Seaside1            | Wharf               |   1788 |     4.8462 |       0.27177689 |
| Seaside1            | Bazaar              |   1808 |    24.8462 |       1.39338514 |
| Seaside1            | Treasury            |   1763 |   -20.1538 |      -1.13023341 |
| Seaside1            | Warehouse           |   1902 |   118.8462 |       6.66494388 |
| Seaside1            | Ambassador          |   1659 |  -124.1538 |      -6.96259627 |
| Seaside1            | Cutpurse            |   1780 |    -3.1538 |      -0.17686640 |
| Seaside1            | Pearl Diver         |   1858 |    74.8462 |       4.19740574 |
| Seaside1            | Caravan             |   1983 |   199.8462 |      11.20745726 |
| Seaside1            | Embargo             |   1690 |   -93.1538 |      -5.22410350 |
| Seaside1            | Salvager            |   1605 |  -178.1538 |      -9.99093853 |
| Seaside2            | Treasure Map        |   1720 |  -215.6923 |     -11.14290221 |
| Seaside2            | Fishing Village     |   2403 |   467.3077 |      24.14163139 |
| Seaside2            | Ghost Ship          |   1817 |  -118.6923 |      -6.13177518 |
| Seaside2            | Island              |   1985 |    49.3077 |       2.54729019 |
| Seaside2            | Lighthouse          |   2054 |   118.3077 |       6.11190632 |
| Seaside2            | Pirate Ship         |   1834 |  -101.6923 |      -5.25353642 |
| Seaside2            | Lookout             |   1933 |    -2.6923 |      -0.13908719 |
| Seaside2            | Merchant Ship       |   1924 |   -11.6923 |      -0.60403712 |
| Seaside2            | Tactician           |   1650 |  -285.6923 |     -14.75917944 |
| Seaside2            | Navigator           |   2032 |    96.3077 |       4.97536204 |
| Seaside2            | Explorer            |   2018 |    82.3077 |       4.25210660 |
| Seaside2            | Sea Hag             |   1681 |  -254.6923 |     -13.15768524 |
| Seaside2            | Haven               |   2113 |   177.3077 |       9.15991142 |
+---------------------+---------------------+--------+------------+------------------+
.. and sorted by last column.
Code: [Select]
+---------------------+---------------------+--------+------------+--------------+
| sets                | card                | count  | diff       | n            |
+---------------------+---------------------+--------+------------+--------------+
| Promos              | Governor            |    201 |    55.0000 |  37.67123288 |
| Promos              | Walled Village      |     98 |   -48.0000 | -32.87671233 |
| Dominion            | Village             |  45843 |  9447.1200 |  25.95656431 |
| Seaside2            | Fishing Village     |   2403 |   467.3077 |  24.14163139 |
| Hinterlands1        | Border Village      |   1783 |   326.7692 |  22.43938255 |
| Intrigue1           | Nobles              |   2322 |   338.2308 |  17.04990681 |
| Cornucopia          | Young Witch         |   1167 |  -212.3077 | -15.39233776 |
| Intrigue2           | Mining Village      |   2140 |   283.9167 |  15.29654946 |
| Seaside2            | Tactician           |   1650 |  -285.6923 | -14.75917944 |
| Dominion            | Militia             |  31186 | -5209.8800 | -14.31447735 |
| Dominion            | Remodel             |  41338 |  4942.1200 |  13.57878969 |
| Hinterlands1        | Stables             |   1262 |  -194.2308 | -13.33791319 |
| Seaside2            | Sea Hag             |   1681 |  -254.6923 | -13.15768524 |
| Hinterlands1        | Haggler             |   1647 |   190.7692 |  13.10020362 |
| Hinterlands1        | Mandarin            |   1266 |  -190.2308 | -13.06323146 |
| DarkAges1           | Count               |   1229 |  -172.5833 | -12.31345294 |
| Intrigue2           | Courtyard           |   1636 |  -220.0833 | -11.85740424 |
| Hinterlands2        | Crossroads          |   1549 |   158.6154 |  11.40802336 |
| Seaside1            | Caravan             |   1983 |   199.8462 |  11.20745726 |
| Seaside2            | Treasure Map        |   1720 |  -215.6923 | -11.14290221 |
| Cornucopia          | Tournament          |   1530 |   150.6923 |  10.92521270 |
| Prosperity1         | Grand Market        |   2331 |   222.3077 |  10.54244377 |
| Prosperity2         | Mint                |   1592 |  -184.8333 | -10.40239959 |
| DarkAges1           | Armory              |   1257 |  -144.5833 | -10.31571224 |
| Prosperity1         | Worker's Village    |   2323 |   214.3077 |  10.16306172 |
| Intrigue2           | Minion              |   1669 |  -187.0833 | -10.07946680 |
| DarkAges2           | Market Square       |   1438 |   131.2500 |  10.04400230 |
| Seaside1            | Salvager            |   1605 |  -178.1538 |  -9.99093853 |
| Dominion            | Library             |  32838 | -3557.8800 |  -9.77550206 |
| DarkAges2           | Forager             |   1434 |   127.2500 |   9.73789937 |
| Hinterlands2        | Highway             |   1522 |   131.6154 |   9.46611463 |
| DarkAges3           | Squire              |   1398 |   120.8182 |   9.45974958 |
| Intrigue1           | Shanty Town         |   2171 |   187.2308 |   9.43813423 |
| DarkAges2           | Pillage             |   1430 |   123.2500 |   9.43179644 |
| Dominion            | Market              |  39820 |  3424.1200 |   9.40798794 |
| DarkAges3           | Marauder            |   1160 |  -117.1818 |  -9.17502896 |
| Seaside2            | Haven               |   2113 |   177.3077 |   9.15991142 |
| Intrigue2           | Secret Chamber      |   1690 |  -166.0833 |  -8.94805206 |
| Intrigue1           | Scout               |   1809 |  -174.7692 |  -8.80995632 |
| Intrigue1           | Duke                |   1812 |  -171.7692 |  -8.65872905 |
| DarkAges2           | Catacombs           |   1194 |  -112.7500 |  -8.62827626 |
| Dominion            | Woodcutter          |  33262 | -3133.8800 |  -8.61053504 |
| Intrigue2           | Saboteur            |   1700 |  -156.0833 |  -8.40928314 |
| Dominion            | Feast               |  33373 | -3022.8800 |  -8.30555546 |
| DarkAges1           | Cultist             |   1516 |   114.4167 |   8.16338922 |
| Hinterlands2        | JackOfAllTrades     |   1277 |  -113.3846 |  -8.15490908 |
| DarkAges3           | Hermit              |   1379 |   101.8182 |   7.97209920 |
| Prosperity1         | Monument            |   1942 |  -166.6923 |  -7.90500824 |
| Hinterlands2        | Embassy             |   1282 |  -108.3846 |  -7.79529635 |
| Cornucopia          | Fortune Teller      |   1273 |  -106.3077 |  -7.70732303 |
| DarkAges3           | Storeroom           |   1182 |   -95.1818 |  -7.45248640 |
| Hinterlands1        | Ill-Gotten Gains    |   1349 |  -107.2308 |  -7.36358550 |
| Cornucopia          | Remake              |   1278 |  -101.3077 |  -7.34482233 |
| DarkAges2           | Junk Dealer         |   1211 |   -95.7500 |  -7.32733882 |
| Intrigue2           | Swindler            |   1992 |   135.9167 |   7.32276940 |
| Alchemy             | Golem               |   1449 |    98.6667 |   7.30684047 |
| Dominion            | Laboratory          |  39038 |  2642.1200 |   7.25939310 |
| Cornucopia          | Menagerie           |   1477 |    97.6923 |   7.08270533 |
| Cornucopia          | Jester              |   1476 |    96.6923 |   7.01020519 |
| Seaside1            | Ambassador          |   1659 |  -124.1538 |  -6.96259627 |
| Prosperity1         | Expand              |   1963 |  -145.6923 |  -6.90913036 |
| Intrigue2           | Pawn                |   1983 |   126.9167 |   6.83787737 |
| Dominion            | Council Room        |  33919 | -2476.8800 |  -6.80538566 |
| Seaside1            | Warehouse           |   1902 |   118.8462 |   6.66494388 |
| Dominion            | Chancellor          |  33990 | -2405.8800 |  -6.61030864 |
| Hinterlands2        | Oracle              |   1299 |   -91.3846 |  -6.57261307 |
| Dominion            | Bureaucrat          |  34015 | -2380.8800 |  -6.54161955 |
| Prosperity1         | Bank                |   1971 |  -137.6923 |  -6.52974832 |
| DarkAges3           | Rogue               |   1194 |   -83.1818 |  -6.51291774 |
| Alchemy             | Scrying Pool        |   1263 |   -87.3333 |  -6.46753657 |
| Prosperity2         | Rabble              |   1662 |  -114.8333 |  -6.46280661 |
| Dominion            | Thief               |  38728 |  2332.1200 |   6.40764834 |
| Alchemy             | Familiar            |   1436 |    85.6667 |   6.34411519 |
| Intrigue1           | Torturer            |   1859 |  -124.7692 |  -6.28950182 |
| DarkAges3           | Counterfeit         |   1357 |    79.8182 |   6.24955664 |
| Seaside2            | Ghost Ship          |   1817 |  -118.6923 |  -6.13177518 |
| Seaside2            | Lighthouse          |   2054 |   118.3077 |   6.11190632 |
| Alchemy             | Philosopher's Stone |   1268 |   -82.3333 |  -6.09725762 |
| Prosperity2         | Watchtower          |   1885 |   108.1667 |   6.08761103 |
| Alchemy             | Possession          |   1270 |   -80.3333 |  -5.94914604 |
| Dominion            | Smithy              |  34266 | -2129.8800 |  -5.85198105 |
| Prosperity1         | Trade Route         |   1987 |  -121.6923 |  -5.77098423 |
| Intrigue2           | Bridge              |   1962 |   105.9167 |   5.70646264 |
| Prosperity2         | Quarry              |   1878 |   101.1667 |   5.69365173 |
| Prosperity2         | Hoard               |   1872 |    95.1667 |   5.35597234 |
| Intrigue1           | Ironworks           |   1878 |  -105.7692 |  -5.33172911 |
| Dominion            | Witch               |  38311 |  1915.1200 |   5.26191426 |
| DarkAges2           | Rebuild             |   1238 |   -68.7500 |  -5.26114406 |
| Seaside2            | Pirate Ship         |   1834 |  -101.6923 |  -5.25353642 |
| Seaside1            | Embargo             |   1690 |   -93.1538 |  -5.22410350 |
| Alchemy             | Alchemist           |   1420 |    69.6667 |   5.15922254 |
| Dominion            | Moneylender         |  34544 | -1851.8800 |  -5.08815833 |
| Seaside2            | Navigator           |   2032 |    96.3077 |   4.97536204 |
| Prosperity2         | Talisman            |   1689 |   -87.8333 |  -4.94324932 |
| Prosperity2         | Contraband          |   1689 |   -87.8333 |  -4.94324932 |
| Promos              | Envoy               |    139 |    -7.0000 |  -4.79452055 |
| Prosperity2         | Counting House      |   1862 |    85.1667 |   4.79317334 |
| DarkAges1           | Fortress            |   1468 |    66.4167 |   4.73869088 |
| DarkAges3           | Poor House          |   1217 |   -60.1818 |  -4.71207780 |
| Intrigue2           | Steward             |   1942 |    85.9167 |   4.62892479 |
| DarkAges1           | Altar               |   1465 |    63.4167 |   4.52464723 |
| Hinterlands2        | Farmland            |   1328 |   -62.3846 |  -4.48685925 |
| Prosperity1         | King's Court        |   2202 |    93.3077 |   4.42490827 |
| Seaside2            | Explorer            |   2018 |    82.3077 |   4.25210660 |
| Prosperity1         | Peddler             |   2198 |    89.3077 |   4.23521725 |
| Seaside1            | Pearl Diver         |   1858 |    74.8462 |   4.19740574 |
| Cornucopia          | Horn of Plenty      |   1437 |    57.6923 |   4.18269977 |
| Hinterlands1        | Scheme              |   1396 |   -60.2308 |  -4.13607513 |
| Intrigue1           | Masquerade          |   1903 |   -80.7692 |  -4.07150187 |
| Hinterlands1        | Spice Merchant      |   1515 |    58.7692 |   4.03570643 |
| Prosperity2         | Loan                |   1848 |    71.1667 |   4.00525474 |
| Intrigue2           | Baron               |   1782 |   -74.0833 |  -3.99137797 |
| Cornucopia          | Farming Village     |   1434 |    54.6923 |   3.96519935 |
| Prosperity1         | City                |   2191 |    82.3077 |   3.90325796 |
| Alchemy             | Herbalist           |   1299 |   -51.3333 |  -3.80152811 |
| Cornucopia          | Harvest             |   1327 |   -52.3077 |  -3.79231552 |
| Dominion            | Workshop            |  37768 |  1372.1200 |   3.76998715 |
| Intrigue1           | Great Hall          |   2058 |    74.2308 |   3.74190707 |
| DarkAges2           | Feodum              |   1258 |   -48.7500 |  -3.73062942 |
| Hinterlands1        | Nomad Camp          |   1402 |   -54.2308 |  -3.72405253 |
| Dominion            | Moat                |  37719 |  1323.1200 |   3.63535653 |
| DarkAges3           | Knights             |   1322 |    44.8182 |   3.50914803 |
| Cornucopia          | Hunting Party       |   1427 |    47.6923 |   3.45769838 |
| DarkAges1           | Sage                |   1449 |    47.4167 |   3.38308112 |
| Hinterlands2        | Silk Road           |   1437 |    46.6154 |   3.35269824 |
| Prosperity1         | Goons               |   2040 |   -68.6923 |  -3.25757817 |
| Dominion            | Adventurer          |  35229 | -1166.8800 |  -3.20607717 |
| DarkAges2           | Mystic              |   1267 |   -39.7500 |  -3.04189784 |
| DarkAges1           | Bandit Camp         |   1444 |    42.4167 |   3.02634171 |
| Hinterlands1        | Cache               |   1499 |    42.7692 |   2.93697950 |
| Intrigue2           | Conspirator         |   1909 |    52.9167 |   2.85098735 |
| DarkAges1           | Band of Misfits     |   1362 |   -39.5833 |  -2.82418462 |
| Hinterlands1        | Fool's Gold         |   1416 |   -40.2308 |  -2.76266647 |
| DarkAges2           | Beggar              |   1272 |   -34.7500 |  -2.65926918 |
| DarkAges3           | Urchin              |   1310 |    32.8182 |   2.56957937 |
| Hinterlands2        | Inn                 |   1426 |    35.6154 |   2.56155024 |
| Seaside2            | Island              |   1985 |    49.3077 |   2.54729019 |
| Prosperity1         | Vault               |   2056 |   -52.6923 |  -2.49881408 |
| Prosperity2         | Royal Seal          |   1819 |    42.1667 |   2.37313765 |
| DarkAges3           | Hunting Grounds     |   1247 |   -30.1818 |  -2.36315613 |
| Cornucopia          | Fairgrounds         |   1347 |   -32.3077 |  -2.34231274 |
| Intrigue1           | Upgrade             |   2029 |    45.2308 |   2.28004346 |
| Alchemy             | Vineyard            |   1379 |    28.6667 |   2.12293513 |
| Hinterlands1        | Duchess             |   1487 |    30.7692 |   2.11293430 |
| Prosperity2         | Venture             |   1740 |   -36.8333 |  -2.07297443 |
| Dominion            | Throne Room         |  37135 |   739.1200 |   2.03077931 |
| DarkAges2           | Wandering Minstrel  |   1333 |    26.2500 |   2.00880046 |
| DarkAges2           | Death Cart          |   1281 |   -25.7500 |  -1.97053759 |
| Intrigue1           | Wishing Well        |   2022 |    38.2308 |   1.92717984 |
| Hinterlands2        | Cartographer        |   1364 |   -26.3846 |  -1.89764760 |
| Dominion            | Festival            |  35725 |  -670.8800 |  -1.84328556 |
| Alchemy             | Apprentice          |   1374 |    23.6667 |   1.75265618 |
| DarkAges1           | Procession          |   1426 |    24.4167 |   1.74207983 |
| Intrigue1           | Tribute             |   1954 |   -29.7692 |  -1.50063828 |
| DarkAges2           | Rats                |   1325 |    18.2500 |   1.39659460 |
| Seaside1            | Bazaar              |   1808 |    24.8462 |   1.39338514 |
| Intrigue1           | Coppersmith         |   2010 |    26.2308 |   1.32227076 |
| DarkAges1           | Ironmonger          |   1419 |    17.4167 |   1.24264466 |
| Dominion            | Gardens             |  36841 |   445.1200 |   1.22299557 |
| Seaside1            | Treasury            |   1763 |   -20.1538 |  -1.13023341 |
| Intrigue1           | Harem               |   1962 |   -21.7692 |  -1.09736556 |
| Dominion            | Chapel              |  35999 |  -396.8800 |  -1.09045310 |
| Hinterlands2        | Noble Brigand       |   1404 |    13.6154 |   0.97925423 |
| Alchemy             | Apothecary          |   1338 |   -12.3333 |  -0.91335228 |
| BaseCards           | Curse               | 117579 | -1072.5714 |  -0.90396729 |
| Cornucopia          | Horse Traders       |   1368 |   -11.3077 |  -0.81980982 |
| Cornucopia          | Hamlet              |   1390 |    10.6923 |   0.77519324 |
| Hinterlands2        | Tunnel              |   1401 |    10.6154 |   0.76348659 |
| DarkAges1           | Vagrant             |   1391 |   -10.5833 |  -0.75509604 |
| Alchemy             | University          |   1360 |     9.6667 |   0.71587511 |
| Intrigue2           | Trading Post        |   1868 |    11.9167 |   0.64203476 |
| DarkAges1           | Scavenger           |   1393 |    -8.5833 |  -0.61240028 |
| Seaside2            | Merchant Ship       |   1924 |   -11.6923 |  -0.60403712 |
| Dominion            | Spy                 |  36194 |  -201.8800 |  -0.55467817 |
| Prosperity2         | Mountebank          |   1786 |     9.1667 |   0.51590096 |
| DarkAges3           | Graverobber         |   1283 |     5.8182 |   0.45554987 |
| Prosperity1         | Bishop              |   2100 |    -8.6923 |  -0.41221282 |
| Seaside1            | Native Village      |   1789 |     5.8462 |   0.32785731 |
| Hinterlands1        | Develop             |   1452 |    -4.2308 |  -0.29053087 |
| Seaside1            | Smugglers           |   1778 |    -5.1538 |  -0.28902723 |
| Seaside1            | Outpost             |   1778 |    -5.1538 |  -0.28902723 |
| BaseCards           | Gold                | 118317 |  -334.5714 |  -0.28197806 |
| Seaside1            | Wharf               |   1788 |     4.8462 |   0.27177689 |
| BaseCards           | Copper              | 118933 |   281.4286 |   0.23718910 |
| BaseCards           | Silver              | 118933 |   281.4286 |   0.23718910 |
| BaseCards           | Estate              | 118933 |   281.4286 |   0.23718910 |
| BaseCards           | Duchy               | 118933 |   281.4286 |   0.23718910 |
| BaseCards           | Province            | 118933 |   281.4286 |   0.23718910 |
| Dominion            | Mine                |  36481 |    85.1200 |   0.23387263 |
| Hinterlands2        | Margrave            |   1393 |     2.6154 |   0.18810623 |
| Hinterlands2        | Oasis               |   1393 |     2.6154 |   0.18810623 |
| Seaside1            | Cutpurse            |   1780 |    -3.1538 |  -0.17686640 |
| Alchemy             | Transmute           |   1348 |    -2.3333 |  -0.17279438 |
| Dominion            | Cellar              |  36335 |   -60.8800 |  -0.16727168 |
| Seaside2            | Lookout             |   1933 |    -2.6923 |  -0.13908719 |
| Hinterlands1        | Trader              |   1457 |     0.7692 |   0.05282130 |
| Prosperity1         | Forge               |   2109 |     0.3077 |   0.01459198 |
| ProsperityBaseCards | Colony              |   5135 |     0.0000 |   0.00000000 |
| AlchemyBaseCards    | Potion              |   8617 |     0.0000 |   0.00000000 |
| DarkAgesBaseCards   | Ruins               |   3761 |     0.0000 |   0.00000000 |
| ProsperityBaseCards | Platinum            |   5135 |     0.0000 |   0.00000000 |
+---------------------+---------------------+--------+------------+--------------+
« Last Edit: May 08, 2013, 03:32:29 am by DStu »
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Davio

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Re: How random are boards on Goko?
« Reply #25 on: May 08, 2013, 03:27:03 am »
0

Order By normed diff? :)

How do we interpret these results?
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DStu

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Re: How random are boards on Goko?
« Reply #26 on: May 08, 2013, 03:43:49 am »
0

How do we interpret these results?

I would blame everything to adventures.  The list just highlights the cards that relative to the total number of cards in its sets come up most/less often.
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Davio

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Re: How random are boards on Goko?
« Reply #27 on: May 08, 2013, 04:07:47 am »
0

How do we interpret these results?

I would blame everything to adventures.  The list just highlights the cards that relative to the total number of cards in its sets come up most/less often.
Can't you eliminate the adventures by knowing the names of the bot opponents?
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DStu

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Re: How random are boards on Goko?
« Reply #28 on: May 08, 2013, 04:12:04 am »
0

How do we interpret these results?

I would blame everything to adventures.  The list just highlights the cards that relative to the total number of cards in its sets come up most/less often.
Can't you eliminate the adventures by knowing the names of the bot opponents?
Probably.  But they are not in the database.  And I don't know the names.
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Ratsia

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Re: How random are boards on Goko?
« Reply #29 on: May 08, 2013, 05:51:14 am »
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How do we interpret these results?
That something is wrong. The deviations should not be that big for such a sample size (the largest deviations should be below 10% for the expansion cards and even less, below 5%, for the base set cards), but like DStu pointed out the Adventures probably mess up everything. Hence, no conclusions can be drawn.
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ftl

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Re: How random are boards on Goko?
« Reply #30 on: May 08, 2013, 05:53:40 am »
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Also, there's no guarantee that these are from randomly selected sets. People playing casual or unrated could be choosing to use or not use cards they like/don't like. I don't even know what fraction of games on goko are actually chosen randomly - it might be pretty low.
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serakfalcon

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Re: How random are boards on Goko?
« Reply #31 on: May 08, 2013, 08:11:29 am »
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Quote
Also, there's no guarantee that these are from randomly selected sets. People playing casual or unrated could be choosing to use or not use cards they like/don't like. I don't even know what fraction of games on goko are actually chosen randomly - it might be pretty low.
Yeah its hard to say unless we filter somehow, without the logs giving us HOW the games were set up (Pro, Casual,Picked Set,Adventure), though at least you can filter out adventures if you work out bot names...
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loppo

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Re: How random are boards on Goko?
« Reply #32 on: May 08, 2013, 08:26:05 am »
+1

is there a way of eliminating all games with starting hands different than 7 coppers + 3 estates? That would get rid of (almost) all the adventures, without having to know all the names of adventure bots from Serf Alicia to Overlord Hogan.
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DStu

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Re: How random are boards on Goko?
« Reply #33 on: May 08, 2013, 08:33:20 am »
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is there a way of eliminating all games with starting hands different than 7 coppers + 3 estates? That would get rid of (almost) all the adventures, without having to know all the names of adventure bots from Serf Alicia to Overlord Hogan.
Of course there is, the question is 'is it worth it?'.  I had the database for other purposes and could just query it.  I would need to build a new one which tracks names/starting hands, or just drop these games before inserting them into the database.  But the casual games still remains, so that does not really answer the question on the uniformity of kingdoms, and I probably can't use the database for something else.
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Watno

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Re: How random are boards on Goko?
« Reply #34 on: May 08, 2013, 08:50:24 am »
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Also I guess it would lead to a huge underrepresentation of Dark Ages cards.
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Kirian

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Re: How random are boards on Goko?
« Reply #35 on: May 08, 2013, 09:06:49 am »
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As several have mentioned, it's difficult to draw any conclusions from the data thanks to the adventures.  Just for S&G I went through the DA Act 1 adventures, checking the cards used in each.  Count and Armory, the two biggest outliers, are introduced late and are in fewer adventure kingdoms than anything but Vagrant.  Make of that what you will, but I'm certain the adventures are a big part of the problem.
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Davio

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Re: How random are boards on Goko?
« Reply #36 on: May 08, 2013, 09:23:20 am »
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Yeah, I also suspect the adventures have a higher number of villages than what normally might be seen.
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yed

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Re: How random are boards on Goko?
« Reply #37 on: May 09, 2013, 05:26:01 am »
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Quote
Thanks for the suggestion. We will write the rating system used into the game log. This will be available in a system update son.
https://getsatisfaction.com/goko/topics/kind_of_game_noted_in_log#reply_12001054
We will have good data soon.
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Kirian

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Re: How random are boards on Goko?
« Reply #38 on: May 09, 2013, 08:27:22 am »
+1

Soon here being, I suspect, Blizzard SoonTM.
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Watno

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Re: How random are boards on Goko?
« Reply #39 on: May 09, 2013, 08:28:46 am »
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Well, better than Valve Time.
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Re: How random are boards on Goko?
« Reply #40 on: May 09, 2013, 08:34:59 am »
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Well, better than Valve Time.

They're both pretty darned mutable.  I believe both companies have had vaporware, as well as other things that are still Coming Soon that haven't materialized for 5 or 6 years.
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Re: How random are boards on Goko?
« Reply #41 on: May 09, 2013, 01:56:20 pm »
0

Well, better than Valve Time.

They're both pretty darned mutable.  I believe both companies have had vaporware, as well as other things that are still Coming Soon that haven't materialized for 5 or 6 years.
Well, it's sad that we can't make jokes about Duke Nukem Forever anymore since it's been released.
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Re: How random are boards on Goko?
« Reply #42 on: May 09, 2013, 02:37:50 pm »
0

Well, better than Valve Time.

They're both pretty darned mutable.  I believe both companies have had vaporware, as well as other things that are still Coming Soon that haven't materialized for 5 or 6 years.
Well, it's sad that we can't make jokes about Duke Nukem Forever anymore since it's been released.

From what I've heard of the game, there are still plenty of jokes to be made about it.
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Re: How random are boards on Goko?
« Reply #43 on: May 10, 2013, 04:24:37 am »
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Well, sure, but not about its release date though.
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Re: How random are boards on Goko?
« Reply #44 on: May 10, 2013, 02:39:39 pm »
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I enjoyed Duke Nukem Forever a lot, going into it having no expectations that it would be anything other than something to make me giggle.

I giggled.
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Re: How random are boards on Goko?
« Reply #45 on: May 12, 2013, 06:22:22 pm »
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Where is black market?
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Re: How random are boards on Goko?
« Reply #46 on: May 13, 2013, 03:01:34 am »
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Where is black market?

Black Market has yet to be released on Goko.
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Re: How random are boards on Goko?
« Reply #47 on: May 13, 2013, 05:46:09 am »
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Quote
Thanks for the suggestion. We will write the rating system used into the game log. This will be available in a system update son.
https://getsatisfaction.com/goko/topics/kind_of_game_noted_in_log#reply_12001054
We will have good data soon.
http://dominionlogs.goko.com//20130513/log.51102b6ee4b06719e45eef9d.1368438253114.txt
Rating system is in the log now :)
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