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Title: At least one by turn k (and other data)
Date Posted: Sat Jan/21/12 at 10:17am

Jingbo
Posts: 72
Joined: 21-Dec-11

So I was wondering what my chances would be of having a certain card by turn k.  Instead of counting turns, I count draws (so draw 7 means your initial hand and draw 10 could mean the third turn).

Suppose I have a 60 card deck and I have n copies of a certain card in my deck.  What is the probability that I will have at least one copy of this card by draw k?
(of course assuming that all cards drawn are available to me)  In the
following graph, the colored numbers represent the number of copies of
the chosen card in your 60 card deck. k is the x-axis.


Now suppose you have 4 copies of a card in a 60 card deck.  The following graph shows the chances of getting at least n of them by draw k.  The x-axis is the k and the colored numbers are the n's.

Now if you only had 3, 2 or 1 copies of the card in your deck:




-Jingbo

[Edited by Jingbo on 21/Jan/12 at 10:22AM]
Date Posted: Sat Jan/21/12 at 10:34am

T}{3 0l\l3 VV}{0 1S
Posts: 178
Joined: 10-Jun-11

I can't see the graphs!
Date Posted: Sat Jan/21/12 at 11:32am

Jingbo
Posts: 72
Joined: 21-Dec-11

These are the graphs in order:
http://img820.imageshack.us/img820/3402/atleast1bydrawk.png
http://img252.imageshack.us/img252/4373/atleastnbydrawk2.png
http://img857.imageshack.us/img857/2313/atleastnbydrawk3.png
http://img841.imageshack.us/img841/4490/atleastnbydrawk4.png
Date Posted: Sat Jan/21/12 at 11:53am

Narcinek War-Rider
Posts: 1283
Joined: 16-Jun-11

First define n and k.
Date Posted: Sat Jan/21/12 at 11:56am

Jingbo
Posts: 72
Joined: 21-Dec-11

They are obvious if you read carefully.  I say "draw k" and the x-axis is labelled "Draw."  I also specifically state what the colored numbers in the graph represent.  Those are the only two numbers other than the probabilities which wouldn't be represented by any whole numbers except 0 and 1 possibly.

n is the colored numbers...





[Edited by Jingbo on 21/Jan/12 at 11:58AM]
Date Posted: Sat Jan/21/12 at 12:03pm

T}{3 0l\l3 VV}{0 1S
Posts: 178
Joined: 10-Jun-11

well thats pretty nifty . . .
Date Posted: Sat Jan/21/12 at 12:07pm

PinkiePie
Posts: 157
Joined: 10-Sep-11

PARRABARRAS!
Date Posted: Sat Jan/21/12 at 12:35pm

Narcinek War-Rider
Posts: 1283
Joined: 16-Jun-11

Is this a math problem or are you just trying to show us how smart you are.
Date Posted: Sat Jan/21/12 at 12:43pm

PinkiePie
Posts: 157
Joined: 10-Sep-11

Hes showing you how smart he is in a helpful way that will help you decide how many of a card to put in your deck!
Date Posted: Sat Jan/21/12 at 12:54pm

TheCaptain
Posts: 909
Joined: 13-Apr-11

Yeah this is pretty darn helpful, especially if you're building a combo deck that's designed to be competitve. Easy to understand, nice work!
Date Posted: Sat Jan/21/12 at 1:05pm

PinkiePie
Posts: 157
Joined: 10-Sep-11

Its all actually pretty intuitive though!

If you want a card every game, put in 4 and things to search for it! If you have a legendary card/world enchantment that isnt completely necessary for your strategy, play 2-3! If you have situational cards, run 1-4 depending on versatility and meta!

The more of each card you have, the more consistent and therefore reliable your deck will be! Thats why edh is so much fun, because you play 1 of each card, so every game is different!

EDIT: That wasnt implying that the charts are unhelpful! Its been a while since i actually looked at the probability charts and the refresher is nice!


[Edited by PinkamenaDianePie on 21/Jan/12 at 1:11PM]
Date Posted: Sat Jan/21/12 at 3:07pm

Jingbo
Posts: 72
Joined: 21-Dec-11

Go back to school Narcinek.  Or at least stop posting.
Date Posted: Sat Jan/21/12 at 4:24pm

krowbar28
Posts: 434
Joined: 18-Oct-10

man i'm starting to like this Jingbo guy more and more
Date Posted: Sat Jan/21/12 at 4:45pm

Boyachi
Posts: 1553
Joined: 02-Nov-11

Not everyone may recall the horror of tourneys when things like Scalpeplexis were the big thing. Having the max. # of not-basic-land cards be three made all the difference. Oh Judgement, those were the days.
Date Posted: Sat Jan/21/12 at 5:21pm

PinkiePie
Posts: 157
Joined: 10-Sep-11

Ice age was the shit! Combocombocombocombo!
Date Posted: Sat Jan/21/12 at 6:57pm

DyingJester
Posts: 1771
Joined: 16-Dec-08

That's interesting..but math is a boring as hell subject...can you make some graphs with backgrounds? (Preferably something gushingly adorable...Like a hyper moe hamster girl...or an undead sith loli...I'm cool with either/or...)
Date Posted: Sat Jan/21/12 at 7:13pm

Jingbo
Posts: 72
Joined: 21-Dec-11

I don't get it... I'm giving you relevant data for constructing your deck better... and it is easy to read and requires very little understanding of math.  I thought this was relevant to the people on this site.  Feel free to shoop ponies on my graphs if that makes you feel better.

Saying "math is boring" is just another way of saying "the truth is boring" because mathematics is simply true consequences of given assumptions.
Date Posted: Sat Jan/21/12 at 7:34pm

DyingJester
Posts: 1771
Joined: 16-Dec-08

I'm trying to be comedic man...not trying to insult the data (Which I admit it is relevant and yes it is fairly useful.) There's a reason my screen name is DyingJESTER. I jest, it's what we jesters do (It's kind of where we get our name from). Now seriously (or not seriously if you prefer) why else would I even broach the topic of an undead sith loli (or a hyper moe hamster girl) for that matter if it wasn't meant to be comedic. Please don't take these kind of quirky statements seriously. I will however say that Math can be interesting, but to be honest it is among the least of exciting things in life (right up there with professional staring and trying to move a clock with your mind). Now as far as math goes it is truth, but to be honest I'd rather a beautiful lie (like an equal government) over a boring truth. I get the feeling you are a very critical person (and I respect that). I meant you no disrespect (Believe you me if I was serious I wouldn't have taken the time to post this long as hell explanation or as Pinkie would say: Dude, you wrote a fuckin' book).  If it seemed like I was disrespectful then I apologize (or if you like do a little musical number, I am quite a beast at lyrics).

Sincerely yours,

The Dying Jester

PS: I vote Jingbo for most mathematical pony.

PSS: This is where I cease being serious, just to give you fair warning.

o<(^_^)>o
Date Posted: Sat Jan/21/12 at 9:06pm

PinkiePie
Posts: 157
Joined: 10-Sep-11

You did....! (Again!)
Date Posted: Sat Jan/21/12 at 9:58pm

lin sivvi
Posts: 1608
Joined: 14-Jan-10

Yes the truth is boring (fiction is so much more fun).

But did you remember to take into account that cards drawn reduces the deck size, and a card drawn can't be drawn again?
Date Posted: Sat Jan/21/12 at 10:16pm

Jingbo
Posts: 72
Joined: 21-Dec-11

Yes I did.  I have 2 math degrees.  I did it correctly.
Date Posted: Sat Jan/21/12 at 10:48pm

DyingJester
Posts: 1771
Joined: 16-Dec-08

And...on a side note...can I post the ponified versions of your charts? I kinda got bored...
Date Posted: Sat Jan/21/12 at 10:59pm

DyingJester
Posts: 1771
Joined: 16-Dec-08

<img 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
Date Posted: Sat Jan/21/12 at 11:00pm

DyingJester
Posts: 1771
Joined: 16-Dec-08

Aww...I broke it...DX
Date Posted: Sat Jan/21/12 at 11:19pm

[deleted troll]
Posts: 0
Joined: 03-Jan-70

I stack the deck. To hell with your formulas. GG, mate. Cheating rules.
Date Posted: Sat Jan/21/12 at 11:26pm

lin sivvi
Posts: 1608
Joined: 14-Jan-10

In that case, thanks a lot man, I've been looking for something like this.
Date Posted: Sun Jan/22/12 at 12:44am

Narcinek War-Rider
Posts: 1283
Joined: 16-Jun-11

I KINDA do the same things with my decks. I don't make mathmatic graphs but I do something like this.
Date Posted: Sun Jan/22/12 at 9:51am

DyingJester
Posts: 1771
Joined: 16-Dec-08

@ Narcinek: What you stack the deck? Cause I gotta say that's hardly sporting of you.
Date Posted: Sun Jan/22/12 at 10:16am

Turbine
Posts: 10194
Joined: 26-Oct-09

I've already done this, but I didn't graph it.
Date Posted: Sun Jan/22/12 at 10:34am

Narcinek War-Rider
Posts: 1283
Joined: 16-Jun-11

@Jester
All I do is separate my different copies of cards.
Date Posted: Sun Jan/22/12 at 11:30pm

DyingJester
Posts: 1771
Joined: 16-Dec-08

WHY WOULD YOU GRAPH STACKING THE DECK!? THAT MAKES NO SENSE!!!!WAHHHH!!!! T__T
Date Posted: Mon Jan/23/12 at 7:25am

PinkiePie
Posts: 157
Joined: 10-Sep-11

I think hes talking about sorting cards by their cmc and color to balance the mana base...!
Date Posted: Mon Jan/23/12 at 1:01pm

Turbine
Posts: 10194
Joined: 26-Oct-09

That's technically considered stacking.
Date Posted: Mon Jan/23/12 at 2:47pm

PinkiePie
Posts: 157
Joined: 10-Sep-11

Not while actually playing, while building the deck....!

I may be way off though!
Date Posted: Mon Jan/23/12 at 4:13pm

Narcinek War-Rider
Posts: 1283
Joined: 16-Jun-11

I do that at home after I've built or moded the deck. I'm not doing it at tournaments so they can't say anything.
Date Posted: Mon Jan/23/12 at 4:30pm

lin sivvi
Posts: 1608
Joined: 14-Jan-10

if you pile shuffle it won't matter, I've got into the habbit of pile shuffling after every game.
Date Posted: Mon Jan/23/12 at 4:42pm

PinkiePie
Posts: 157
Joined: 10-Sep-11

Okay, i was wrong!