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- Article 199 of alt.gambling:
- Path: polyslo!usc!cs.utexas.edu!mailrus!hellgate.utah.edu!wasatch!jacobs
- >From: jacobs%cs.utah.edu@wasatch.utah.edu (Steven R. Jacobs)
- Newsgroups: alt.gambling
- Subject: Blackjack: Card Counting for the Complete Klutz
- Date: 12 Sep 89 15:51:46 GMT
- Distribution: alt
- Organization: University of Utah CS Dept
- Lines: 160
-
- Things have gotten too quiet here, so I guess I will post my card
- counting strategy. This is a simplified method, it uses only the
- basic strategy. It is very important that you fully understand
- the basic strategy before you try counting cards. Counting is
- fairly easy in your home, but it is easy to get distracted in
- a noisy casino.
-
- This method works best at a table that offers insurance.
- Simulations show that this method gives about a 1% edge
- over the house, when using a 5:1 bet spread (bet 5 units
- when the deck is favorable, 1 unit when the deck is
- unfavorable). This high of a bet spread is not always
- practical.
-
- The strategy table listed below is a revised version of
- the basic strategy table that I posted previously. It
- is optimal for most single-deck games.
-
- ---------------------------------------------------------------
- For SINGLE DECK games:
-
- 1) Start the count at -4 when the deck is shuffled.
-
- 2) Count -2 for 10, J, Q, K
-
- 3) Count +1 for everything else (including aces)
-
- 4) Bet low when the count is negative, high when the count is
- positive (actually, simulations show that you can bet high
- for a count of -2 or above).
-
- 5) Take insurance when the count is positive.
-
- 6) Play basic strategy at all times (table shown below)
-
- ---------------------------------------------------------------
- For N deck games:
-
- 1) Start the count at (-4 * N).
-
- 2) all other rules are the same.
- ---------------------------------------------------------------
-
- NOTES:
-
- The unique feature of this counting method is that it is
- perfectly accurate for dealing with insurance. When the
- count is positive, the player has the advantage when
- taking the insurance bet. When the count is negative,
- the house has the advantage, so insurance should not be
- taken.
-
- Counting is best done by counting several cards at once.
- It is easy to practice this counting method in the following
- way:
-
- 1) Count through a deck of cards, counting one card
- at a time. Start at -4, and count through the entire
- deck. After all of the cards have been seen, the
- count should be ZERO. If it is not zero, a mistake
- has been made somewhere. Repeat counting through
- the deck one card at a time, until you can do it
- quickly without making mistakes.
-
- 2) Count through the deck, counting two cards at a
- time. Look for the following patterns, adding
- the correct amount for each pattern
-
- (X = 10, N = non-ten)
-
- NN +2
- XN -1
- XX -4
-
- Again, the count should be zero after all cards have
- been seen. Repeat until you can do it efficiently.
-
- 3) Count through the deck, counting three cards at a time.
- Look for the following patterns, adding the correct
- amount for each pattern.
-
- (X = 10, N = non-ten)
-
- NNN +3
- XNN 0 (this pattern is common)
- XXN -3
-
- 4) Practice against a computer blackjack game. When I
- play, I usually count the cards by counting an entire
- hand (player's or dealers) at once. If there are more
- than three cards in the hand, I mentally break it up
- into groups of 1, 2, or 3 cards (I usually look for
- "XNN" patterns and ignore those cards, since they
- add up to zero). I usually count the cards just
- before the dealer picks up the hand (exception: for
- insurance, you should count your cards and the dealer's
- up card immediately).
- ---------------------------------------------------------------
-
- Strategy Table
-
- S=stand H=hit D=double P=pair(split)
- <uppercase> = "strong" hand, favorable to player
- <lowercase> = "weak" hand, favorable to house
-
- <---might bust---> <---might stand---> <---- dealer possibility
- ---+----------------------------------------
- 2 3 4 5 6 7 8 9 X A <---- dealer's up card
- ---+---------------------------------------- Pairs
- XX | S S S S S S S S S S
- 99 | PS PS PS PS PS S PS ps s s
- 88 | Ps Ps Ps Ps Ps Ph ph ph ph ph
- 77 | ps ps Ps Ps Ps ph h h s h
- 66 | ph ps ps Ps Ps h h h h h
- 55 | DH DH DH DH DH DH DH DH H H
- 44 | h H H DH DH H h h h h
- 33 | h h Ph PH PH ph h h h h
- 22 | h ph Ph PH PH ph h h h h
- AA | PH PH PH PDH PDH PH PH Ph Ph Ph
- ---+---------------------------------------- Soft Hands
- AX | S S S S S S S S S S
- A9 | S S S S S S S S S S
- A8 | S S S S DS S S S S S
- A7 | S DS DS DS DS S S h h h
- A6 | DH DH DH DH DH H h h h h
- A5 | h h DH DH DH h h h h h
- A4 | h H DH DH DH H h h h h
- A3 | H H DH DH DH H H h h h
- A2 | H H DH DH DH H H h h h
- AA | H H H DH DH H H h h h
- ---+---------------------------------------- Hard Hands
- 21 | S S S S S S S S S S
- 20 | S S S S S S S S S S
- 19 | S S S S S S S S S S
- 18 | S S S S S S S s s s
- 17 | s s s s s s s s s s
- 16 | s s s s s h h h h h
- 15 | s s s s s h h h h h
- 14 | s s s s s h h h h h
- 13 | s s s s s h h h h h
- 12 | h h s s s h h h h h
- 11 | DH DH DH DH DH DH DH DH DH DH
- 10 | DH DH DH DH DH DH DH DH H H
- 9 | DH DH DH DH DH H H h h h
- 8 | h H H DH DH H h h h h
- 7 | h h h H H h h h h h
- 6 | h h h H H h h h h h
- 5 | h h h H H h h h h h
- 4 | h h h H H h h h h h
- ---+----------------------------------------
- NOTES: 1) Use the "Hard Hands" table only
- when the other tables do not apply.
-
- 2) If splitting Aces is not allowed,
- use the "Soft Hands" table.
- ---+----------------------------------------
-
-
- --
- Steve Jacobs ({bellcore,hplabs,uunet}!utah-cs!jacobs, jacobs@cs.utah.edu)
-
-
- From usc!ucsd!orion.cf.uci.edu!uci-ics!zardoz!tgate!ka3ovk!teemc!mibte!gamma!towernet!pyuxp!nvuxj!nvl Wed Sep 13 12:35:26 PDT 1989
-
- In article <17109@ceres.physics.uiowa.edu> RLM@ceres.physics.uiowa.edu (Robert Mutel) writes:
- >Could someone give a succinct summary of the situation regarding
- >`favorable' and `unfavorable' shuffles in multi-deck blackjack? What
- >should a player look out for? Will unfavorable shuffles affect basic
- >players as well as counters?
-
- First, consider the totally random shuffle. This is what all card
- counters' strategies are based on (because the mathematics are
- already combinatorially explosive without having to worry about
- non-random orderings.) It is also what the "basic strategy" of
- non-counters is based on. The totally random shuffle doesn't exist,
- but it can be approached to a greater or lessor extent.
-
- Nonrandom shuffles can contradict the assumptions that went into
- building the strategies, and hence the counting and non-counting
- strategies can be sub-optimal in practice. Also, nonrandom shuffles
- can result in "like-card" clumping. Have you ever seen everyone
- including the dealer get two 10-valued cards? Pretty annoying.
- Like-card clumping is devastating to the players.
-
- Like-card clumping can be a natural or manufactured phenomenon. It
- happens naturally, because if you have low cards, you tend to take a
- hit, and if the next card is low again, you may take another hit.
- This clump of low cards is preserved when it is picked up. A poor
- shuffle will only slightly reduce the amount of clumping.
-
- Card counters, however, can put non-random shuffles to their
- advantage. This involves remembering (or recording with chips) the
- "richness" of different segments of the deck as it is played.
- "Shuffle-tracking" is then employed to estimate the richness of
- different segments of the shuffled deck. One can then use the
- cut-card to "remove" unfavorable portions of the deck (i.e. get rid
- of low cards.) See "Break the Dealer" for more information. (By the
- way, I don't have enough money to even think of trying this myself.)
-
- Okay, now you know what favorable and unfavorable shuffles do to
- you, so how do you recognize them?
-
- First, be on the look-out for "poor washing." If a casino does not
- mix up new decks well, avoid it. Furthermore, avoid playing at a
- table that started with new cards within the last few *hours*.
-
- Next, watch out for the "high-low" pickup, where the dealer picks up
- the cards in a high to low order. I'm sure there must be variations
- on this theme.
-
- Also, watch out for the "strip" shuffle. This is typically done by
- "pinching" the top few cards and the bottom few cards off the
- portion of the deck being shuffled. I don't know why this shuffle
- is non-random when combined with other shuffles, but the casinos
- have researched this, and know that it hurts the players, and so
- they do it. Note that "unfair" shuffles are illegal in Atlantic
- City. I have seen strip shuffles there.
-
- Last, be aware that inexperienced dealers, while they deal nice and
- slow also shuffle poorly. Inexperienced dealers can let a clump of
- 4 cards slip by without getting shuffled.
-
- In sum, totally random shuffles are nice but do not exist, and
- non-random shuffles usually hurt, but can help, especially if you
- are shuffle tracking. The casinos know all this and attempt to use
- it to their advantage (they're greedy, remember?)
- --
- Michael R. Hall | BAN |"I live in a country that I hate. I live
- hall@nvuxh.cc.bellcore.COM | STRIP | in a country where I want to shoot the
- bellcore!nvuxh!hall |SHUFFLES| politicians." - Peter Buck of R.E.M.
-
-
- From sdsu!usc!apple!rutgers!tut.cis.ohio-state.edu!pt.cs.cmu.edu!andrew.cmu.edu!jr+ Wed Sep 13 12:37 1989
-
- >From: garym@crash.cts.com (Gary Morris)
- Newsgroups: alt.gambling
- Subject: Re: Blackjack: Card Counting for the Complete Klutz
- Date: 13 Sep 89 01:48:40 GMT
-
- >>Simulations show that this method gives about a 1% edge
- >>over the house, when using a 5:1 bet spread (bet 5 units
- >>when the deck is favorable, 1 unit when the deck is
- >>unfavorable). This high of a bet spread is not always
- >>practical.
- > Is using this high a bet spread practical in Las Vegas casinos? Don't
- the
- > dealers watch for this people changing their bets like this or is it
- only
- > Pit Bosses you have to watch out for? Maybe a good size tip to the
- dealer
- > would help? (he might not notice the bet changes then :-)
-
- My recent experience says that you will not get away with this very
- often in LV, at least not playing with favorable rules. The last time I
- was there (3 months ago) doubling your previous bet was safe, but
- tripling it brought immediate reshuffles in single-deck games (at least,
- at the Frontier, Circus Circus & the Fremont).
-
- I haven't been to Las Vegas for a while, but last month in Laughlin
- > I found that only the 4 or 6 deck games were dealt face up, the one
- deck
- > games were dealt face down. How can you count if the cards are dealt
- > face down?
-
- First fo all, you really shouldn't be playing with other people at the
- table. It greatly reduces your number of hands/hour & thus, the
- likelihood of ending up ahead. In addition, when other people are at
- the table, it dilutes your chances of obtaining the cards you want when
- the count is high.
-
- But, if you have to play with other people around, you should just play
- at face-up games or count the cards when the dealer collects them.
-
- > Shouldn't count strategies be designed for 4 or 6 deck odds?
-
- Not if you want to win. My simulations show that the disadvantage
- introduced by 6 decks is tremendous (I haven't experimented with 4
- decks, yet). In particular, my version of Hi-Opt I yields a 1.2%
- advantage against favorable 1-deck rules, but a -0.3% disadvatnage
- against equally favorable 6 decks. Without some special help (like
- early surrender) I think it's very difficult to beat a 6-deck game. I
- avoid them like disco music.
-
- JR
-
-
- From usc!ginosko!uunet!amdahl!eli Thu Sep 14 13:21:04 PDT 1989
-
- This is obviously late, but I didn't see mention of it here, so:
-
- The Silver City Casino on the Las Vegas Strip is offering EARLY SURRENDER
- at certain SELECT tables, but ONLY until September 30, 1989! (Early surrender
- is when the player is allowed to surrender hands before the dealer checks his
- hole card for potential blackjack)
-
- So anyone with a little vacation time should try to make it out to Vegas
- in September and go get some of the free cash, esp. if you are a card counter.
-
- Blackjack is becoming such a difficult game to make any substantial money at
- that its always nice when a casino gives you a break...
-
- p.s. (early surrender gives the player a 0.62% higher expectation than if
- it were not offered. "basic" early surrender stategy is to surrender
- hard 16, but not 8-8 against a dealer's 9 up, surrender
- hard 14, 15, and 16 against a dealer's 10 up, and to surrender
- hard 5, 6, 7, 12, 13, 14, 15, 16, and 17 against a dealer's Ace up.)
-
-
-
-
-