Fudge RPG - Help from Fudgey Math Freaks

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Hi folks,

I am trying to create a magic system for Fudge using a deck of 52 
playing cards.  Each wizard has their own deck and depending on their 
magic ability, they get to draw a hand of 3 through 8 cards.

Wizard fighting wizard is easy enough (I think) by just simply 
comparing the two hands but I'm wanting a ladder of fixed difficulties.

I'm thinking (from easiest to hardest)

A single 5 or better
A single 8 or better
A single J or better
Any pair
A pair of 5 or better
A pair of 8 or better
A pair of J or better
A flush
3 of a kind

Can anyone help me determine the odds of drawing said result for each 
of the hand sizes?  I've been reading up on Permutations/Combinations 
and I must admit that the explanations of these I can find on the web 
are somewhat lacking.

Thanks,

_______________________
Jim Pacek
wilmanric@cableaz.com
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Sequence	First Line	Username	Date
0	> Hi folks, Hmm, you might look up Deadlands which used such a system.	FrankFilz	2004-08-25 18:24:27
1	You left out the "drawing 3 to 8 cards" part, which makes the math really ugly. On Sun, 15 Aug 2004, Jonathan Benn wrote: if you're drawing 3 cards, the chance that one of them is a 5+ is: 1-((1-4052)(1-4051)(1-4050))=99% chance.	BillHamilton	2004-08-16 12:47:33
2	Hey thanks.	JamesPacek	2004-08-15 15:54:53
3	Hi folks, I am trying to create a magic system for Fudge using a deck of 52 playing cards.	JamesPacek	2004-08-14 21:39:05
4	Hi James, You've got a math freak here (software engineering combines all of the math of computer science, with some of the math from engineering...). I'll give the stats a try, and hopefully somebody will double check to make sure I'm right.	JonathanBenn	2004-08-15 15:21:36
5	Thanks to Jonathan and Bill.	JamesPacek	2004-08-16 13:28:22
6	4*12 = 48.	Chuk	2004-08-16 15:47:23
7	I forgot to mention that in mine; 4 suits of 13 cards.	BillHamilton	2004-08-16 16:10:52
8	My utter and complete inability to get a job means I need to unsubscribe. Oddly enough, there doesn't seem to be any method of doing so.	MormonYoyoman	2004-08-16 22:21:56
9	m>Oddly enough, there doesn't seem to be any method of doing so. Oddly enough, unsubscribing info (among other functions) is in the headers of every message sent out.	KarenCravens	2004-08-17 01:12:56
10	Karen J.	NickMoffitt	2004-08-17 01:22:36

Sequence

First Line

Username

Date

> Hi folks,

Hmm, you might look up Deadlands which used such a system.

FrankFilz

2004-08-25 18:24:27

You left out the "drawing 3 to 8 cards" part, which makes the math really ugly.

On Sun, 15 Aug 2004, Jonathan Benn wrote: if you're drawing 3 cards, the chance that one of them is a 5+ is: 1-((1-4052)*(1-4051)*(1-4050))=99% chance.

BillHamilton

2004-08-16 12:47:33