Ephraim
Adepts
Basic User
   
Posts: 2938
The Casual Adept
|
 |
« on: May 09, 2006, 07:20:37 am » |
|
Disclaimer: This post is an introduction to an idea on which I am working. This draft format is not yet complete. I am posting in part to garner feedback from the community. Particularly, if my intuitive approach to probability is wrong, please point it out to me!
Background: I have enjoyed drafting out of Ravnica block since it came out. Early on, however, I recognized a subtle weakness in guild system for drafting. If you want to draft by guilds, you're stuck with the combinations set up by the three sets. You can draft (Boros, Dimir, Golgari, Selesnya), (Gruul, Izzet, Orzhov), or (Azorius, Rakdos, Simic). It occursed to me that it might be fun, however, to draft (Azorius, Golgari, Izzet) or (Golgari, Gruul, Selesnya, Simic) (all four green guilds). My goal was to develop a method of generating repacks to allow for this.
Facts:
In an 8-person draft, 360 cards will be used. 24 rares 72 uncommons 264 commons
In Ravnica, the rarities were broken down as follows: 88 rares (84, without dual lands) 89 uncommons 114 commons (109, without basic lands)
In Guildpact, the rarities were broken down as follows: 55 rares (52, without dual lands) 56 uncommons 54 commons
In Dissension, the rarities were broken down as follows: 60 rares (57, without dual lands) 60 uncommons 60 commons
Setup:
Intuitively, given the distribution in a pack, I think I am going to need one of each rare card, three of each uncommon card, and eleven of each common card in order to achieve the correct distribution. I may be willing to sacrifice distribution accuracy in order to make the number of cards more managable. I don't really want to be dealing with a stack of 1200 commons. If I cut back to six of each common, I'd still have plenty of cards.
To generate the repacks, I would separate out every card that could belong to one of the selected guilds. For simplicity's sake, this may include all mono-colour cards in the block (assuming that all five colours are represented.) This is where things begin to get hairy. At this point, I must figure out the proportion of each colour that is represented in the "set" that is being drafted.
Using the (Azorius, Golgari, Izzet) example from above, blue is 2/6 and each of the other colours is 1/6. I would shuffle together all of the green, black, and Golgari rares into one pile, all of the red and Izzet rares into a second pile, and all of the white and Azorius rares into a third pile. I would then separately shuffle all of the blue rares, split them in half and then shuffle the halves into the Izzet and Azorius piles. Non-guilded artifacts would also be distributed evenly among the three piles. I would then select approximately eight cards from each of the three rare piles (eight is "ideal" but I could also introduce some random variance to let one pile "steal" one or two cards from the other piles.) I would shuffle together the 24 selected cards and then set them out as the rare for each of my repacks.
I would repeat this process for uncommons and commons, except that I would pick 24 cards from each of the uncommon piles and 88 cards from each of the common piles. This leaves me with eight repacks ready to be drafted.
|