This is game theory that you're talking about, as opposed to pure
statistics.  You can determine who is more likely to win given all of the
players stay in the game until its completion, and you know all of the cards
that each player holds, and that is statistics.  Game theory determines what
the best course of action for a particular player given a set of knowns and
unknowns for each player.  For example, player one holds an ace and a king.
Player two holds two kings.  The shared cards are ace king two seven. You
could figure out that player one is 95% likey to win, and that is stats.
However, knowing that player two should fold if player one goes all in is
game theory. I'm no expert on this - google it.
 
Matthew Small
Web Developer
American City Business Journals
704-973-1045
[EMAIL PROTECTED]
 

-----Original Message-----
From: Dana [mailto:[EMAIL PROTECTED] 
Sent: Wednesday, December 22, 2004 9:46 AM
To: CF-Community
Subject: Re: Seeking advice on calculating odds

I *think* that if you were able to find a large-scale study that said
that in a given situation 45% of card players fold, you should be able
to assign a 45% weight to this event, if this helps your algorithm.
Remember though that your model will only be as good as your data.
There is a fairly extensive discussion of this in the risk management
chapter of the project management book I recommended to Ian. I think
he bought it; ask him to let you take a look. If in fact he did not,
then general idea is

profit outcome 1 * probabitily outcome 1
profit outcome 2 * probability outcome 2

etc

where the sum of probabilities is 1.0

This is also a finance concept whose name escapes me at the moment. 

Dana



On Wed, 22 Dec 2004 09:29:24 -0500, Ben Doom <[EMAIL PROTECTED]> wrote:
> I would say that you can't accurately calculate what another person is
> going to do, so the only real numerical probabilities you can generate
> are the ones regarding the cards themselves.  After all, experienced
> players have bluffed with (and occasionaly won with) "the hammer" -- 2 +
> 7 off-suit.
> 
> Having said that, if you're trying to build a computerized card-playing
> system, you could certianly collect statistics on individual players to
> know their habits, and could aggregate these as a starting point for new
> players.
> 
> --Ben
> 
> Ken Ketsdever wrote:
> > I'm in the process of developing a new card game and am interested in
> > computing the odds.  If I can understand the basics of the example
> > below I think I will be in a better position to calculate what I
> > need.
> >
> > To determine the odds I've opted to use Texas Hold'em as an example.
> >
> >
> > I have been able to determine the pure mathematical odds of someone
> > being dealt 2 cards then sharing 5 cards dealt up for everyone to
> > use.   However, is that all there is to it?   If ten people are dealt
> > two cards each then five cards are dealt face up (first 3 cards, bet,
> > 1 card bet, 1 card, bet )  for all to use to complete their hand as
> > in Texas hold'em does the odds need to take into consideration that
> > the players with lower ranking hands are more likely to fold thereby
> > increasing the odds for the higher hands?  Or is it pure odds of
> > getting certain cards?
> >
> 
> 
> 



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