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- From: kaufman@ucunix.san.uc.edu (Stephen A. Kaufman)
- Subject: Re: Card Clumping (was: Deuces Wild Video Poker in Vegas)
- Message-ID: <Bxu72K.HBp@ucunix.san.uc.edu>
- Keywords: Clumping
- Organization: University of Cincinnati
- References: <Bxpu3M.EFy@ucunix.san.uc.edu> <1992Nov16.211519.5795@kronos.arc.nasa.gov>
- Date: Tue, 17 Nov 1992 01:35:07 GMT
- Lines: 63
-
- In article <1992Nov16.211519.5795@kronos.arc.nasa.gov> hall@kronos.arc.nasa.gov (Michael Hall) writes:
- >
- >Geez, I was away on "business" Thursday night through Sunday. But in any
- >case I don't think I'll get to it soon, as it has a low priority on my
- >list of things to do.
- >
-
- Figured you were on such a "business" trip. Hope you had
- a valuable one!
-
- Seriously, though, if you could ever do some simulations along
- the lines of my suggestions it might prove most interesting. Let
- me give a specific example. Supposing, just supposing, that
- what you (and I) say about non-random
- shoe shuffles is correct --- that clumped shoes
- tend to produce clumped shoes --- and that using that information
- an astute player determines that over long stretches of such shuffles
- certain cards (tens, perhaps) will occur after certain sequences
- more or less frequently than the "count" indicates. Say that
- 3 or 4 times a shoe a player is regularly able to predict that the
- next (hit) card or the dealers hole card is a ten with a relative
- increase in probability of say 10% (i.e. if 30% of the unseen cards
- are 10's, when such a prediction is made it actually turns out to
- be correct 40% of the time). The following questions present
- themselves:
- 1) How many shoes and how many guesses must be made at the +10%
- rate for the results to be statistically convincing at say a 99%
- confidence level?
- 2) If we are convinced by the statistics, then aside
- from knowing when to take insurance, what changes should be made in
- a) betting strategy when sitting at first base and predicting the
- first card will be a ten? (presumably we want to stick as close
- as possible to Kelly)
- b) basic strategy and counting strategies when the hole card is
- predicted to be a ten?
- c) hitting/doubling/splitting strategy when the hit card is predicted
- to be a ten?
- d) both b) and c) is true? (Actually this one is easy for a counter,
- for it is usually just the strategy that is correct at that average count
- level: if you are counting tens and 40% of the remaining cards are
- tens, then whatever strategy applies to such a count would apply
- if you can accurately predict that the same probability holds for
- both cards in question in spite of the count. Note that this does
- not apply to all plays, though; only those where only one more card
- will or won't be taken. Strictly speaking, though, I guess it really
- isn't even that simple, for there is always a very good chance that the dealer
- will have to take more than one more card. But it should be close
- enough for empirical purposes.)
- Of course, Michael, you seem to think that it is non-ten cards that
- can be predicted with greater confidence. So just ask the same
- questions for them.
- Any takers?
-
-
- >--
- >\When you're down on your luck counting cards, just
- >\repeat this (CMU football) chant: "That's all right.
- >\That's okay. They're going to work for us some day!"
-
- CMU!!? Who wants to work in Pittsburgh?! I've heard the same
- said of other football noteworthies like Northwestern, Yale, and Harvard!
-
- Dr. K.
-