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Welcome to The GameMaster's Blackjack School c A brief introduction.
c c c c c c c c c c c c c c c c The GameMaster's Blackjack Schoolc c c c c c c c c this is a series of 24 written lessons that can teach you how to play a winning game of Blackjack. c
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c c c c , c.c c2 c2 c.' c!4cThe GameMaster's Blackjack School on DVDc
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GameMaster's Blackjack School on DVDc
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Sometimes you just need a place to start.
Blackjack is a game of skill and this is where you can learn the skills it takes to beat the game.c
The 24 lessons you see here will take you step-by-step through the process of learning how to play each hand properly, how to count cards, how and when to properly bet and literally hundreds of other "tricks of the trade".c !c c c c " c c c c c c c c c c !'c c c c c c c c c c"c c cc cc c c c c,'-'c) c cc"'-'cc conline casinoc c c c ' cc c cc 'ccc c cc c c cc5 ccccc c*c
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esson 1: Basic Strategy c
The foundation of winning at Blackjack is to utilize proper basic strategy in playing the hands.c7 c c c c c c 'c c c c "c c c c c c c c c c c c !c c c c c c c c c c c c c c " c 3c c c 'c c cccc+cc c " ccc cc c$cc ccc c c ccc c c cc 8cc c c "c2 c cc"cc ccccc c cc c c cc c c'cc cc ccc c c c c c cc c ccc"c c 5 c c c c c 6 c c c c c c &&c c c c c c c "'-'c &&c c c c c c" c c c c ccc c c 3cc c'c c cc c c c
The correct basic strategy for a blackjack game depends upon the rules of the casino where you will be playing.c !c cc c cc c 'ccc1 c c8c c5 cc"c ccc c cc & 'ccc9c2c c c c c c c ccc" c c c c 3c8ccc c c c c c c ! c c c " c c c ccBlackjack Strategy Enginec c cc cc "' c/c c c c ccc cc
Here's what that looks like for a fairly common game:c.8c ' c "c cc c c c "cc c c c c cc c c c9&:c
Basic Strategy Matrix : for 6 Decks, S17, DA2, DAS, No surrenderc
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´airs
2
3
4
5
6
7
8
9
T
A
(A,A)
6c
6c
6c
6c
6c
6c
6c
6c
6c
6c
(T,T)
(9,9)
6c
6c
6c
6c
6c
6c
6c
(8,8)
6c
6c
6c
6c
6c
6c
6c
6c
6c
6c
(7,7)
6c
6c
6c
6c
6c
6c
(6,6)
6c
6c
6c
6c
6c
(5,5)
(4,4)
6c
6c
(3,3)
6c
6c
6c
6c
6c
6c
(2,2)
6c
6c
6c
6c
6c
6c
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Soft Totals
2
3
4
5
6
7
8
9
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(A,9)
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Hard Totals
2
3
4
5
6
7
8
9
T
A
17
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13
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emember The Basic Strategy Decision Chart shown here applies only to the game described earlier; you must produce your own to fit the rules of your favourite casino.c /c c c c , c .c 2c c c "c c c c ! c c c c c
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esson 2: earning Basic Strategy c
This is a very simple lesson -- I'm going to show you how to memorize your chosen basic strategy perfectly. . c c c c c c c c c 'c " c c c c 3c c - c c c c !c 'c c
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The Card ´ractice exercises that you will read about next are very visual. You might want to consider our X X product, to enhance the learning experience.c
Card ´ractice #1c &c < c c c c c c , c .c 8c 8c c c c c c 'c c c c c c 8 c>c c c c cc c cc c c c c c c7cc c c c c " c c c cc cc c c ccc c c c cc c c cccJc c c c 'c c c c c c c ! c 8 c c c c c c 'c c c c c & c c1c c c8c c c c c cc c c c cc cc'cc c c
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esson 3: Counting Cards - The Basics c
With this lesson, I'm going to unwrap the veil of mystery which seems to surround the concept of card counting.c=c cc cc c cc c"cc c c'c'c ccc ccc 8& 'c 3c c - cc c' ccc & c cc
The first "secret" is that we don't memorize the cards in a deck.c cc c c cc & c cc c cc c c
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The other big "secret" about card counting is how we do it at the Blackjack table.c c'c c c cc cc cc c c c c c c c c " c cc c cc c c c cc "c c 'c'c cc ccc c c cc c"c ccc cc "' c c1"cc c c ccc cc0.!c c c c' c" c c cc c c' c c c@c< c c"c c c c c 3c c c c c c c'c" cc c cccc ´ick a System
There are a lot of different card-counting systems available and -- like most things in life -- each has its advantages and its disadvantages.c cc c c cc c c cc c c cc cc c c7 ""cc c c cc cc c ccc cc c"cc c ccc c 8cc cc ccc1 C! cc c ccc cc cc c c 'c c c c c c c c c c9c 2c c c c c c cc c c c &
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Card-counting systems are rated by two primary factors: Betting Efficiency (BE) and ´laying Efficiency (´E)c !c c c c c c c c c c c ,+c c c c c c c c c 7+c c c cc! c c" c cc c cc9c cccc c"c cc9c ccc c 3c c c c c c c c c c Ac c %c , c c c c c c 9c c c c c c = c c c c c " c c c c c c 9@c < c c c c c c %8c @c=cc ccc9c c c c(3c c c c" c c@c. c cc c "cc$c ccc9c" c c c cccc ccc9c cccc cc cc
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Multi-deck games are beaten primarily by a large betting spread.c.c c c"c ccc c cc c c c"cc ccc c9c c cccc,+c c c cc c"c"c cc & 'cccc c' cc"c cccc###ccc7+c c c"c c c cc> c 3c c' ccc cc "c ccc cc ' c c c cc"cc9c"c "c c c c c c c c c c c c c c c c "c c c c cc c c8 c)"*c cc c?cc ccc cc c ccc " c c ccc c" c c c c c!cc c c c & c c cc"cc" c ccc c" ccc c cc cc c 'c c c
To help you decide on a count to use, visit the series of articles called ounting Systems in the Blackjack Archive of GameMaster Onine and look at the systems which are reviewed there.c9 c cc cc"c 'c c" cc=cCc? c c" c cccc c"cc c c c c c c c"c c & 'c cc=&/c c c c ""cc " c c "c3c c cc =cCc ? c c & ' c c c c"cc.c cc"cc c cc c c cc 'cc c cc cc c " c c c5 c c cc c c" c c cc"c c c 'cc c cc " c c c c ccc cc cc cc9 c. cKc c" c c c" c c " 'c,'"cc,'-'c c cc cc
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esson 4: Card Counting - How To Do It c
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This entire lesson that you about to study is very visual. You might want to consider our X X product, to enhance the learning experience.c
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The ´ower of Card Counting
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/c cc c cc cc ccc c c c, c"ccc c c cc Ac c%c cc"'-'cc c "c c c c cc:c c c9 c c cccccc c' c c c c$& c ccc ' c c cc' c c'c "c c" cc earning The ´oint Values
This is the only exercise you will ever need to learn the point values of your counting system.c cc c c c c c c c cc & 'cc c"'cc cc c c c c & 'c cG c'cc 'c c c c"c cc c c c cc ccc c c c c c c c c c c & c c
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Single-Card Countdown
If you feel you know the point values of each card in your system of choice by heart, you may now begin to count down a single deck. .c c cc c c 'c cc) c'c c *c c c c c < c c c c c c c c c 'c c c c c c c 1"c c c "c @c c c
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For now the key is accuracy; keep at this until you can go through a deck three or four times in a row without mistakes.cc cc cc c cc c c<8ccc 'c c c c c"c c 3c c c "c c c c c c c 'c c c c %$c @c !c "" c c c c c c
HOMEWO' c 2 c c c c " c c "c c c Basic Strategy econstructionc c Basic Strategy Decisions exercisesc6 c ccc ccc c" c cc
Begin learning the point values of your chosen systemc cc c' cc"cc&&c c cc&&c c
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esson 5: Card Counting - The Tricks c
< c c c c cc c c' cc" cI am going to show you a few interesting ways to practice the count you've decided to learn and then teach you the methods we use to keep track of the cards as they're played at the casino.c > c c c c c c c c c c c c " c c c c c5 'c c c c c'c ccc c c c c c cc c c cc c c c cc cc c c c c c c cc ccc c c c cc
At this point you should have the point values of each card memorized and you might be doing some singlecard countdowns of a deck.c c c c ccc" c c/Jc c c cc c c cc c. cc c c c 'c cc cc8 c c c c c'c
This entire lesson that you are studying is very visual. You might want to consider our X X product, to enhance the learning experience.c ´airs Value ´ractice
G c c c cc c c cc c c cc c c c c cc cccc c c c c79 1.c c cThis is one of the real "tricks" of the card-counting business: the ability to count cards in pairs.cc cc c cc c cM cG'c c" cc%$c cc&%c!c"cc "c c c cc=ccc c c c cc=cCc? c c c cc Hand Net ´oint Value c
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aying down a good foundation here will allow you to build your speed quickly later on, so this exercise is time well spent.c c c!&9 c cc ccc c c ccA& c c!c ccc c 'c cc cc c c cc & & ccc c c c c cAc cc 3c ccc cc c c c c c ccc c"ccc" cc c c c c c cc c" c'c c c&&c' ccA& c c c c ´airs Countdown
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Gradually, your speed will increase to a point where you will count as quickly as you can turn over the cards. ! c cc c cc 'cc cc cc c c cc c&&c cccc&&c cc 'cc cc c)/ cc c& *c=cc c cc c "c c c c c" c c c= c c c @c c c c c 'c c$(c c " c c c c c'c c c c c"c c %c cAc c c c%$c c c(c c"c) c c cc c*c Counting at the Table
The method we use to count cards at the table is the real secret of this business.c c c c c c c c c c c cc cc c" cc c c c c c c c c c c c c c c ) c c
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Most dealers keep their up card face-down until each player has received both cards.c!c
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You can see that this method of counting by pairs allows you to look more natural at the table. c c'c c'c c c c c c c c c c cc c c c c c c cc c cc c c c c 'cc cc"c cc c c c c c ccc cc c c c c c c c !c ' c c c c c c c c c c c c c c c cc
HOMEWO'
c Besides continuing with your basic strategy practice, start playing some "kitchen table" Blackjack.c c c c c c c c c cc " c c cc- c c c c c c c c cc c c c c c> c cc c cc 3c cc cc c c cc c cc c c c c c c ccc &" ccc c c cc c c cc c c cc ccc c cc c c c c cc cc c c c,c c c c " c c c c c c c c< c c 9??c/01c c c c c c" c c c 'cc c, c @c> c cccccc c c cc c ccc c c c c ccc cccc c ccc c'cc c cc
This exercise will form the basis for all of our practice -- except speed development -- from here on out. 9 c c
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esson 6: Card Counting - Single-Deck ´lay c
Every serious counter should have a good knowledge of how to play single-deck Blackjack,c c c c c $Hc c c c c & 'c c " c c c c "c c c c c c 'c c c c "c veryc "c!cc c cccc" c c c ccc c"c c" c'cc c c c 4cc"c c c'cc,'-'cc ""c c cc & 'ccc
Most of you -- especially those who are close to Atlantic City -- should spend your time practicing instead of playing, all with the idea of taking 5 or 6 trips a year to areas such as eno or aughlin.c6 c"c c"c c c:$c cD$c ccccc & 'c ccc c c"cc c c ccc
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This entire lesson that you are studying is very visual. You might want to consider our X X product, to enhance the learning experience.cc Counting at the Table
To win at single-deck games, you first need to learn another method of counting at a table where the cards are dealt face down.c9 c ccc c? c(cc ccc c c5 c c cc c c 'c c c cc c cc cc cc c c & '3cc ccF c c c c c c c c & 'c c c 9c 2c /c " c c c c c c c c c c ,'-'c c " ccc c cc c !'c " c "3cc cc c c c c c" c c cc c" cc8c c c c! cc c cc cc c"c c c cccc c cc
Cards get turned face up for various reasons at a single-deck game, so let's go through a hand and see when you will count them. ,c"c c c c cc c c c2 ccc c cc c c cc"c cc c ccc " cc Ccc c c cc c c cc c c c cc = cc "c cc c"c cc c c c c ccc ccc ccc cc "c c c c c c c c c c c c c c c c c c c & 'c c c c cc c"ccc c cc"c c c c cc 5 c cc cc&&c c. c cc" c Ccc cc c cc c c c c cc c c cc7c c cc
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Now comes the tricky part. !c c c"c cc c" c c c c c c c c) cc c
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c c" cc Developing Your Speed and Endurance
I often use the analogy of a prize fighter when I discuss practicing your counting; a fighter trains for both speed and endurance.c!c cc c"c cc c c-"c cc"cc"c cc c c9c & 'c c c c c "3c c c c c c c 5 'c c "c c c c c ! c " c c
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A Few More Tricks
earn to count backward from an odd number by 2's.cccc c%c c:cc" cc c cc ccc Dc(cAcc5 'c! c cc c8 c c cc c c.cc%(c c'cc c(c c c c3c cccc c c c c cccc c"ccc c cc cc c%$ c c,'-' c c cc cc" c cc"' c ccc "c- c c'c cc cc
When your counting is interrupted for any reason, recite the count to yourself over and over again.c ? c c ccc c cc 8c c c c2 'c) cc c c ccc@*c ccc c c5 c cc ccc c c:c- c'cc:c:c:cc c c c c c cc 6 c' c c'cc cc ccc!9?Jc cc c"cc Nc7c c c cc ccc
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Important:c 9c c c c c c c c c "& 'c c " c c c "c c c " c c ccc"cc cccc c c cc c ' c.c? cc c c cc c & 'c" c c
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esson 7: Money Management - ´art 1 c A Sermon
I do a little bit of preaching here every so often, primarily because I hate to think of people handing their money to casinos.c c c c c c c" c c c c" c c cc " cc c c c ccc c c ccc ccccc6 c c c cc' c c c c- cccc c c c c c cc cc c c c c c c c c 2 c 'c c" cc c cc c'c c +c c c c c c c c c c c c c c c c c c c c" cc c c" c c"' c cc cc c ??c"c c6 c c8c c c c ,'-'cc c "ccc c 6 c c c c c c c c cc c 8c&&c c c c c ccc cc c cccc,c cccc c"cc c c"c"c c cc c cc c c"c c! cc cc###ccc c< c cc What is Money Management?
As it applies to playing Blackjack as a card counter, money management is a method of betting that will minimize your losses and maximize your gains.c 7c,'-'c cc cc 'c c c !c c c c c cc c c c cc ccc c"' cc ccc c7 c c c c c c5 ccc c ccc cc cc" c "cc ccc c cc. c c cc"c c c c ccc"cc c cc 'c"'c c c c cc"ccc c ccc'c c c cc" c c c cc 3c c- cc c cc cc c c cc c cc 8c c cc c c c c c cc c c c cc c" c cc cc cc c c c c'cc c c'cc The True Count
All of our betting decisions will be made on the basis of what is known as the "true count" or more accurately, the "count per remaining deck". c c c c c c c c c "c c c & 'c c c & ' cc c c&&c c c c' c c c c c 8c c c c c cc c c c c c c c c c c c c :c c c & 'c c c c c c c c c - c c :c c c- cc"c cc c 'cc c"c c c ccc 8& 'ccc ccc 'c )c c *c c - c c "c c c c c c - c c "c c c :c ' c c c "c c .c c c ' @ccc cc c"c cc c c"cc c "c cc ' c? cc c 8c c c c c cc c9c c & 'c c cc c c c c c c %c )"c c c cLc c cc c "*c c cc c c c%cc c c cc 8& 'c c cc c c c%ccc c cc c c c c%c, c c cc%cc" cc' c c cc c c ccccc 8& 'cc
!/c >+!+1 <+c !=+c !10+c 2/0 F >+c !=+c 10<< <c 2/0+2J.c1+9 < <c!/c,+c7?96+>cc Don't let that statement confuse you. What this means is the number of decks left, whether they'll actually be played or not.c c c 8& 'c c c 'c c c c "c c c "c c c " c c c c c c c c!c " c cc c cc c "c c ' ccc c c c - c"cc "c c ' ccc"c c9c84c cc 8& 'ccc c ' cc"c c c c cc c'c c cc cc c c cBc c cc c c c%c" ccc c ' c c cc c !c c c c " c c c c cc ' cc "c c " c c c c cc cc
Take this this little test with me to see if you understand the principle.cc
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unning Countc
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The casinos are very nice about providing us a device to determine just how many decks there are remaining to be played in the shoe. No, that device is not the shoe, but the discard trayccc"c c c cc"c c c & 'c c c c 9 c c c c c c c c c c c c c c c c c c c c c c c c c "c c " c c c c c ' c c c c "c c 9c c 8& 'c c c c c c ' c c c c c c c c "c c ' c c c c c c c c c cc"cc c c c c c "c c c c c& 'c c c cG c 8c c cc cc c c c c 'c c c c c" cc cc c c c c c c c cc c c c cc c c"cc c? c'c c c c 8 c cc
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unning Countc
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I can see some eyes glazing over out there, so we better stop for this week.c , c c "c 3c c c c c &&c c - c ' c c c .'c c c 'c c c 'c c c c "c c c
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esson 8: Money Management - ´art 2 c A Few Words on Single Deck
In the previous lesson, I taught you how to figure the "true count" for a multi-deck game, but I want to emphasize that the concept of true count also applies to single-deck games as well.c!c c c cc"c
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For each increase of 1 in the true count as figured by the Hi / o counting method, the player's advantage increases by about .5% in the average Blackjack game. cc c cc c cc" c cc c $Hc):c ' c "c cc c c c "cc c c c c c9&:*cc' cc c c c - c" ccc c ccccc c,cc cccc c c c" c c cc c c c Cc c&&ccc c c&&ccc c c c c9c c c c%c cc cc c c (Hc cc 3cc c c cAc cccc c cHc c c cc
It is the edge that a player has on the upcoming hand which determines their bet.c 2 &c c "c c c c c ccc ccc c" ccccccc c cc c cc c c,c "c c c c c c c c c c ) c c Jc 2 *c c c 8c c cccc 'c9c c c c ccJc2 c"c ccc c"c cc
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First and foremost, it isn't practical to bet in units of less than $1, so a betting schedule must be rounded off. Secondly, it is more appropriate to bet in units of $5 so that you'll look like the average gambler, plus it cuts down on the calculations you need to make.c cc c "c c c c c"cc ccc "cc cc c"c c cc"' c c c c ccc- c c "c cc c c ccc c c c%c c3c cc cc c'c" ccc c cc c9c c c c c& 'cc c c ccc" c"c' cc ccc c c c cc"c'c cccc c c c The Betting Spread
A single-deck game with decent rules in which thirty-six cards or more are used before a shuffle can be beaten by a 1 to 4 spread. 9c & 'cccc c c c cc c" cc cc c"c"c "ccc c:c c9ccc c ' c c cc5 cc c cc c%cc c ccc cc c c c c cccc c" c c c ccc c c c cc"cc c c c ccc' c ccc,'-'c!c c c8 cc"c c cc ccc#(c c c"c c c#(c c#:$ccc 8& 'cc.cc c ccc"' c c cc c c($c c" cc c'c cc5 cc"' c c#A$$$c
With a $3000 bankroll, a betting schedule could look like this:
True Count c ´layer's Betc Optimum Betc $c c c
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YOU WI SAVE A OT OF MONEY AND FIND MOE ´OFITABE SITUATIONS IF YOU EAVE A TABE WHEN THE COUNT HAS GONE DOWN TO A TUE OF - 1. BUT EAVE ONY AFTE OSING A HAND; NO GAMBE WOUD EAVE A TABE AFTE A WIN. c
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esson 9: Money Management - ´art 3 c Expectation and Standard Deviation
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Standard deviation is a mathematical term used to predict the outcome of a situation.c c c &c8 c c8c($c c c($c c c c" c & c cccc c cc"c c"c (c c ((ccc!c cc c c((c c c (c c c cc"c c c 3cccc:BAHc c cc!c c c cc c c cc8 c cccc c c c c c c $$c cc c c c c cc"c c cc c- c c c cc"c((c c (cc cc c "c c c"c c c c c c c cc c c c ($&($Nc cc c c c @c c 6 c c c c c c c c c c c c c "c c c c c "cc cc
Nothing has caused counters to give up Blackjack more than a lack of understanding about normal, everyday standard deviation.c 2 c c c c c c 8c c c c c c c c c c c c c cc ccc c<8cc c' cc &"cc "' c cc ccc c c ccc'c cc cc c c c
´ATIENCE AND S'I WIN -- HUNCHES AND WISHING WI NOT WIN. ´AYE DOES NOT WO' AT BAC'JAC'.c
So, what can you expect -- what's the worst which can happen? c c c c c c c " c c c " cc"' c cc c($c c" cc c" c ccc c c c &"c c cc c c c'c c###cc,'-'c&&ccccc c c c ccccc"c"c> c cc c c c @cc
The table below illustrates the possible results from varying hours of play at a fairly typical game.c. cc c8 ccc "c c c c c"cc c c):BAHc cc*c c%c c
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c et's talk about this a bit. If you were to play several hundred 'sessions' of 3 hours each, the average win for those sessions would be about $22.50.c)! c c c cc#(c c#:$c"c c ccc c *c, cc c c cccc c8c#%%($3c" c & c c"c c"ccc c#c c c c c# Dc c cc c c c c cc c c c#A:$c c c c c c #A:c c cc c c c c c c "ccNc> c c c c cc' c c "' c c #A$$$c c cc#(c c#:$c"c @c c c c"c c c c"c"c c" "c cccc c c c c8 c ! c c c3ccc c c c c c c c c c c c c c cc ccc c c5 c c c c c c" c c"' c
Now look at the results for 90 hours of play. Most of you will be - at worst - about break-even after that many hours.c9ccc"c c"c#%($$c" c c c c c"c c"c#D(c c c, c cc ccc c c"ccc c cNc, cccc cc c"c ccc c c 'c cc c c cc c c c c c c c$c c c"c c c c c c c c "c c c c c c c" c c c c c"c "c c c c c c c "c c c c c c ! cc c c c cc c c c c" ccccccc c c c c c c &ccccc c 'cc c c cc c"c &c" c ccc= cc c c 'cc cc cc c"c 'cc c c9 c cccc cc c cc ' c c,'-'c! c c c c c cc c'c 3c c"' cc c c "c c c c c c c c ccc cc c c cc
HOMEWO' c c Just try to understand the concept of standard deviation and continue 'calibrating' your eyes by doing deck estimation exercises with six decks.c9 c c c" c c c c"c ccc& 'c c cc c c
c c c cBlackjack Mathc)4CC"- C*c c 'c cc"c c"c c ccc
esson 10: The ´roper Mental Attitude c
I always stress the idea of 'expectation' as it applies to casino gaming because understanding the concept will help you stop gambling and hopefully turn you into an investor at the tables.c,c cc c8 c c 'cc c c c c"cc cc ccc ccc ccc8 c c c"c#$c c c7 ccc c ccc#$c c c#$c" c c8 c c c c c c cc c! c " cc c cc" &c c c Hc cc"c cc ccc5 c cc cc 'c c c "c c cc c cc cc cccc c c c" ccc c c cc c cc c c c c .c c c c "c
c " c :$c c c c c c c c c "c#$c cc ccc 'c c c"c&&ccc c c&&c" c:$cOc c c;c#B $cc
Now let's look at this concept from the point of view of a positive expectation situation like card counting at Blackjack.c c cc"c c#%c ccc c cc cc c c%(Hc c8 c c cc#%cOc$%(c ;c#(cc c 6 c c(c cc c 9c cc c:$c c c c cc 8c c 'c&&ccc c c&&c" c:$cOc(c c;c#$$cc c, cc cc cc "c c c cc c c c c B$c c c c c 8 c c B$cOc(c c ;c#%$$c c c!c c cc c 'c c c c cc cc c c cc"c c c c c cc c!c"c c c - c c c c c "' c ) c c "c c c c c c c "c c c - c c "c c cc c *c cc c c cc c cc c c cc,'-'cc c c
c" c c cc c c c c c c c c cc "c c c cccc cc More Hands Mean More Money
If you are the only player at a six-deck game, you can play at a rate of about 200 hands an hour.cc c c c5 ccc c c8 c c%$$cOc(c c;c#A$cc c&&cccc c!c "c c c c c c c c c c c 'c c c c c c c " c c c %$$c c c c c "c cc cc c c c ccc c c c9<>cc cc c c c'cc c c ccc cc ccc 'c c" c cc c c cc c cccccc cccccc c cc c c cc
But 200 hands an hour is a worthy goal, so continue practicing with your single-deck countdown in an effort to build your speed to a point where you can go through a deck in under 20 seconds. c cc cc c cc c c ccc" c c c cc & & cc "c!ccc c cc c c cc cc%c9c cc c" ccc"c ccG c"cc c cc ccc c c c c c c c"c cc c c# $$c c ccc c3c c 'c c c" c cc&&ccc&&c c cc c> c ccccccc c & & c " cc c !c cc c c c cccc " c c c
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THE GOA OF THE ´OFESSIONA ´AYE IS TO ´UT IN AS MUCH QUAITY ´AYING TIME AS ´OSSIBE; WIN O OSS AMOUNTS AE SECONDAY. BY ´AYING AND BETTING COECTY, THE $$$ WI COME WITH TIME. A Winning Attitude
9 c c c " c c c c ,'-'c c c ' c c c c "c c c c c c c c c c cc"cc ccA proper mental attitude eliminates the highs and lows of the game (thus making it very boring -- at least in my opinion) but it enables you to play a solid , unemotional game.c c ccc c c) ccA(Hc cc*c c- c cc' ccc cc'c cc cc c c c c c"'c ccc:$$c c cc c c c:$$c cc8 c c c c c- c c c'c c c 'c cc 'cc ccc c! c c c c c ccccccc ccc cc cccccc ccc
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HOMEWO' c c Get an old deck of cards and a marker pen.c c c c ccc:& 'c ccc "cC%c cc "'c c c cc cc8c ccC%c cc c c c c c c(c"c c c &c< cc "cc"' c c%$c c c
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This exercise will help speed your ability to compute the true count accurately.c! c c c cc"cc c 'c - c c c 'c c c c C c C%c c AC c ' c c & c c c c c $c " c c c c c c c 9 c c c c 8 c c c c c "c c "c c c cc c cc
esson 11: Evaluating Games c
While almost all Blackjack games are ultimately beatable, the rewards to be gained from marginal situations do not adequately compensate you for your time and risk.c! c c c cccc c c" c cc! cc c c ccc c c ccc cc "c c ' c c cc c cc & cccc cc
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c To determine the casino's edge over you at the beginning of a shoe, just add or subtract the rules variations from the 'base' game listed above. c8cc ccc "c 'ccc cc c c cc" c cc c c c c c cc
, cc&( Hc ! c>' cL%$Hc IIIIIIIIIIIIIIIIIIIIIc 7c c&A Hc c Effect of Deck ´enetration
How far the dealer goes into the deck(s) before shuffling can have a major effect on your winnings. !c c c ccc c ccc cc"c c c"c c c c cc ' ccc c c c !c "c " c c c c c c c c c c " c c c c c cc
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c et's examine what I'm trying to say here.c c cccccc c($Hc c c cc$$c c c%ccc ccc c c cc c"c.cc5 cc c c cc ccccc c c cc"c c cc cc c c< c 'ccc c ccccB(Hc c=c " c AD(Hc c c c c "c c "'c c "c c c c 5 c c "c c c c c c c c
YOU AE WASTING YOU TIME AND MONEY IF YOU ´AY AT A GAME WITH ESS THAN 65% ´ENETATION. Even if a game doesn't offer the best rules, it can still be beaten if good penetration is available. 1"cc c c c c c cc c c " c c c c cc cc c c c c ccc 'c" ccc ccc c c
HOMEWO' c c Calculate the player starting advantage for the following:cc
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esson 12: Casino ´laying Tactics c What Are Casino ´laying Tactics?
It's a sad fact of life that casino personnel, especially floor supervisors and pit bosses do not like card counters playing at their Blackjack games.c !c ' c c c c "c "c "c c ' c c c c c c
cc c cc c ccc c c c c c c"cc ccc c c c)*c c c"c ccc2 5 cc ' cc c c c cc" c cc c- c c cccccc7 c cc cc c c c ' c c c c c c ccc A Casino '´rofile' of a Counter
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To make money at Blackjack, you must maintain your welcome at the casinos.c, cc c cccc cc"c c2c c c cc cc cc cc cc ccc cc cc c cc c cc"c ' cc c c ""c ccc c c cccc
If you are playing for high stakes, you'll be noticed whether you win O lose; high-stakes players are always noticed.c, cc cc ccc#(c c#:$c cc c c c ""c c"c ccc= c c cccc c c cc c c cc c1"cc c ccc c c c cc c c c c c "c c c c AVOID ´AYING FOM ONE SHIFT TO ANOTHEc Jc c cc c ccc'ccc cc cc"c c c cc c cc
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cc'c c'cc " c c cc 'c cc c> c!c c'cc c)ccc *cccc c c c cc8c'cc c ccc c'c c cc"ccc c c c c c c!'c cc c cc c ccc c cccc#(c c"c" cc c cc#$$c" c cc# $c> c c c c'c c c3c ' c c5 c2cc c#(c c#%(c cc > c c cc cc 'c 3ccc c c cc cc 'cc c c cccc c 'cc cc c c & c ' ccc"c)/> c c- cccc *c ccc cc cc !c c ccc"cc c"cc1"c c c'c" c c c c"3c" c- c c c cc c c" c c c c cc,'-'cc c8c"c cc c cc c c cc c"cc"cc c c" cc cc c c c c c'cc c" c c c c c cc " c<+F+1ccc"cccc cc c c c" c&c cccc c"c c c cc cc = c" ccc c c!'c cc c cc / c c c,'-'c cc c9cc ccc c"c c> c c 'c cc 3c c cc c'c c c' c ccc ' c! cc c'cc c c c cc c ccc cccc c8cc c cc c c c" c c c c c c"ccc c c c 'cc c cc c ccc c) c c c c *cc cc c cc c ccc"c"c c7cc"c cc ccccc'cc 'c'c ccc cc ccc /c cccc c c ccc ccc"c c%c cAc cc cc > c cc c c" c c cc c c 3c c c c c' c cc c ccc" c c c 'c'c c&&ccc%c cc%c cAc c "cc9&Dc cc c c Nc)! c*cc > c c'c c ccc"c" c c" 3c c cc c ccc c c<c cc c cc" 'c" c,'-'c> c cc c" c cc'cc cc c " c c&&c" c c cNcc cc"c c cc c" ccc'c c c c"c c cc c c cc ccc cc ccc c c c cc ccc'c c c &" c c c & c c c c, c c ccc ccc c ccc cc c c cc c cc"cc c cc
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2 cc c c c cc c 4cc .c 'c "c c$c cc c c9&:cAnswer: .33%cc .8c ' c "c cc c c c c c c9&:c c cc9 c "cc c c Answer: .33%cc ! c ' c "c cc c c c c c c c c "cc c c c c9&:cc c Answer: .30% (I didn't specify if the dealer stands or hits on A-6; this figure is for a game where s/he stands.)cc
esson 13: The Advanced Course - ´art 1 c
The most powerful (legal) means of overcoming the casino's edge in Blackjack is to vary your bets according to the true count.c9
c c c%c cAHc c "c c c c cccc cc c c c c c c 6 c " c c c c c c c c '&c c - c 'c c c c %c cc cAc c c c c c cc c!c c c c c c"c c cc c cc%c ccAc c c "ccc! c c cc" c c c c ccc c cc c c cc Basic Strategy Variations
Modifying the play of your hand according to the true count will occur about 10% of the time. Should the count drop, you will double less, hit 'stiff' hands more and split pairs less often.c9 cc c c c cc "c c cc c c c c c c cc" c ccc c c c c c8cc c cc c$c:c c$c c c c c c3c c cc "c c c " cc c c 9 c8c c( c c%c, c c c cc" ccc c cc c c c "c c c 9c c8c cc c c c9&%c c(3c" c c c c "c" ccc c c" c$c c c - c c !c c c c "c c 'c c c > "c 9&%c c (c c $c c c , 'c c c c c cc cc c9&%c c(c;c$c)6 cc"c c"'c c c c cc *cc The ´ower of Basic Strategy Variations
The value of any variation is determined by how often it will, on average, be used. c c c $$$$$c c c ,'-'c cc)c " c %$c c c 'c c *c cc 8c c c c c c :c c$c " c A($$c c )A(H*c! c cc "cc & c c9c cc c "c c c" c c"c ccc c2 c cccc c%c c Ac ccc$$$$$& c c cc cc c cc c" c cc cc!c5 c c c c c c ccc c " c c c
One of the most important variations from basic strategy is the insurance bet.c.cc cc cc9c cc c c" cD(Hc ccc' cc c "c c'c c cc c c ccc cc 8c 'cc c c ccc c c cAc cc6 c c c'cc c "c c c c c c c c c c c c c c c c c c !c =C? c c c cc c+c cB$Hcc ccBc c c$c c c"c cccc c c'cc c"c" c cc c cc
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9 c c c c considerable value is gained by learning those variations that involve starting hands of 12-16 vs. any up card, since those are the hands you'll see most oftenc cc c( Hc cc c cc"c cc c cccc! c c c c c c 'cc c 4c" c c c c c - c c c c c" c c c c c cAc c c c6 cc c c9%c$cAc c$ccc c c$c cc cc cc c c$c:c> "c) c c "*c c8cc c c C c c c c c cc The Value of Basic Strategy Variations
It's safe to say that utilizing these variations will increase your winnings by 10% in the six-deck game. , c c c - c &"c c c c c ,c c c c c 'c c 'c c "c c c c =c :c c $c c ccc c c c c c c c cc "c " c c c c c c' c c" c c) cN*c c c "c9Dc c%c cc- c c cc (c cc$c c'c6cc c cc&ccc c&cc ccc
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esson 14: The Advanced Course - ´art 2 c Basic Strategy Variations: Hit or Stand?
The most common decision any player makes at Blackjack is whether to hit or stand, consequently this will be the most common basic strategy variation and you should learn all the important ones.c!c c ccc c c :c cc c c c c$c6 c c ccc c c c$c cccc c$c c c! c ccc c c c cc cc c.cc c "c c$c c c c c cc c c&&c c c cc c c c c> c c cc 9 c c " c c cc cc c c" c c ccc c "c c$cc c cc cc
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cc @cc c Here are the numbers you'll need to learn.c ! c c c c "c c " c c c " c c " ' c 'c . c c7 c,'-'c" cc c c cc c cc 8& 'cccc c c c9&:c cccc"c c" c cc c c 'c ccc c c" c(c c c! c " c 'c3ccc"c cc c c c c c cc"cc cc c > c !c c c c & 'c c c .& 'c c 5 c c " c c c "c ccc c c
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esson 15: The Advanced Course - ´art 3 c Basic Strategy Variations: Double?
The opportunity to double your bet in return for agreeing to accept only one more card is a very powerful option for the player, if it's utilized correctly.c c c c c c c c c c "c c 'c Dc c Bc c c
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That said, there comes a time when it is worthwhile to double an 8 against a dealer's 6 and that's when there's a higher proportion than normal of 10s left in the deck.c!c c c c c c"cc c c9 cc c c c c cc" c c "c c "c2 c cc c ccc" c c"cc cc c ccc "cc
Just as you're using flashcards to learn the hit/stand variations, make up, a set for doubling. =c c c " c c 4cc Basic Strategy Variations Six decks, dealer stands on A-6
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esson 16: The Advanced Course - ´art 4 c Basic Strategy Variations: To Split or Not To Split
The primary factor to consider when splitting pairs is whether or not your casino of choice allows doubling after splitting (DAS).c c >9.c c c c c c c c " c c c c c c 'c c c c cc c cccc c cBcBc c' cccc cB c c"c c cc c c" c c ccc cc cc c$c!c c cc 'c c c c" cc c cBBc ccc, c"c ccc cc8 c c&(ADHc c"c c)c>9.c c *cc8 c c& BAHc c c. cc8c cc c c c 'c c&ccc c c&ccc"c c!'c cc c c c cc ccc:c cc$c cccBc cc$@c,c c cc cccBc c c " c c cc c c" cc>9.c c c cc c c"cc cc
As the true count goes up, you'll split more and as it goes down, you'll split less.c /ccc c- c"c c c c cc c c$ c c8ccc cccc c c c ccc cc c c c :c c cc c c ccc c c c c cc c c c c cc "c = c c ccc cc c c c"c'c cc c " c cc c c c c c c c c c c c c "c c c c c c c c c c c " c c c
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All other splitting situations should be followed to the letter; especially that of splitting 4s against a 5 or 6 (if DAS is allowed).c c c c c c c c c " c c c c c c c ' c cc c cc c c c c c'c c c c c c< c 5 c 'c'cccc c 'c'cc
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esson 17: The Advanced Course - ´art 5 c Basic Strategy Variations: Test Yourself
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ccc" c cc c c c ccc c c c c c cc c c c ccccc c c " c c c c c c c c c c ' c c 'c c c c c c " c c c c c c c c c c c c c c c c c c c c c c c c c c cc c " 5 c c
This test just asks you to 'fill in the blanks' with the correct index number from -2 to +10. ´rint as many copies of this as you'd like.cc
> c0c2 cc 7 c= c9%cc 7 c= c9Acc 7 c= c9 c 7 c= c9(c 7 c= c9:cc 7 c= c9Dc 7 c= c9Bc 7 c= c9c 7 c= cBcc 7 c= ccc 7 c= c$cc 7 c= ccc 7 c= c%cc 7 c= cAcc 7 c= c cc 7 c= c(cc 7 c= c:cc 7 c= cDc c c 7 c= c%%cc 7 c= cAAc 7 c= c c 7 c= c((cc 7 c= c::cc 7 c= cDDcc 7 c= cBBc 7 c= cc 7 c= c$$c 7 c= c99c c
Advanced Course ´ractice Matrix %cc Ac c (cc :cc Dc Bc cc =c =c IIc IIcc IIcc =c =cc =cc =c =c IIcc IIcc >c =c =c =cc =c =c IIcc >c >cc =c =cc =c =c =cc =c >c >c >c =c =cc =c >c >c >c >c =c =c =cc IIc >c >c >cc >c .cc .cc =c .c .c IIc IIc IIc .c .c .c .c .c .c IIc IIc .c .c .c =c =c =c IIc IIc =c =c =c IIcc IIc >c >c >c IIc =cc =c >c >c >c >c >c >c >c IIcc >c >cc >c >c >c >c >cc >c IIc IIc IIc IIc .c =c =c =cc IIc .cc .c .c .c =c =c =c .c .cc .c .cc .cc =c =c =c .c .c .c .c .c IIcc IIcc IIc .cc .c .cc .c .c IIcc IIcc IIc .cc .c .c .c .c .c .cc .c 7c 7c 7c 7c 7c 7c =c =c IIc 7c 7c 7c 7c 7cc =c =c =cc =c =cc IIc IIc =c =c =c <+F+1c.7? !3c!1+9!c9.c$c IIc 7c 7c 7cc 7c =cc =cc =c 7c 7c 7c 7c 7c 7c =cc =c 7c 7c 7c 7c 7c 7c 7c 7cc 7c 7c 7cc 7cc 7cc IIc 7c 7cc .c .c .cc .c .c .c .c .cc 7cc 7c 7cc 7c 7c 7cc 7cc 7c
$c =c =c =c =c =c =c .c .c =cc =c =c >c =c =c =c IIc IIc .c =c =c =c
9c =c =c =c =c =c IIc .c .c =c =c =c IIc =c =c IIc IIc IIc .c =c =c =c
=c =c IIcc .c .cc 7c
=c =c 7c IIc .c 7c
THIS MATIX ASSUMES DOUBE AFTE S´IT IS ´EMITTED AND ASO ASSUMES THAT YOU DON'T CHOOSE TO S´IT 10s.c
HOMEWO' c .c c c cc c c cc c cc8c c' cc.c cc8c c
esson 18: Advanced Single-Deck Blackjack, ´art 1 c
c c c & c cc c&cc c c c&ccc' c c c ccc cc ccc & 'ccTrue count conversion is difficult to do quickly, large bet spreads (over 4 to 1) are difficult to obtain and it's hard to keep an accurate count at a game which is dealt face-down when you're used to counting where all the cards are face up.c > c c c c c c c c c c c c 'c c c c"c c c cc & 'c c c c c c c c c'c%c cAc c c 1 ccc< c c ccc c cc1 c2"c c2 c" c ccc cc cccc c 'c ###c c c ,'-'c " c c c 8 c c c c c c c c c c c c 0 c . c. cc c cc cc 'c) c "c c$c cc c "cc c cc c c9&:*c cc cc cc c(Hc c cc cc cc c" cc' c- c cLc c cc c ccc c c cccc c & 'c c c cc c cc1 c) cc cc ! c c? *c c "c cc c c c cc c c c c c" c%Hc c ccc ""cc
The key to evaluating good single-deck play is how many cards you'll see before a shuffle.c c cc ccc c:$Hc c ccccc(c cc"c c cc c c "cc cccc c(Hc ccc c c"c- c"cc" c c cc c" c c cc c c c c c c c c c c c cc c c c ccc c %Hc c "c! c c c ,'-'c c cc c c ccc Which Counting System?
I use two different systems for counting cards; the Hi/o for multi-deck play and the 'Hi-Opt 1' system for single deck play.c!cc cA&:c cL3cDBc cc c$cc$ c c&c.ccc c c c c'cc c c 'cc c c ccccc c ccc cc cc cc c - cc c c "c c? c'c" cc c c c c cc cc8c c c ccc5 & 'c c cc c " c" c c cc c cc c8ccc5 c 'c c"c c c c cc c ccc 'c cc c c c c&&c c"c c&&c c
c Lc cc c c c c c c c c c - c c c c c @c c c 5 & 'c c "c c c%c cc c ccc 'c c c"c cc c c c cc c"cc)c c
cc cc cc c*c- c c"c c cc c ccc c c c! c c cc c
c c cc" cc c c c- c ccc & 'cc" ccc - c c c8cc
c c c c c c =&/c c c c c 5 c c c c c c c =C? c c 9c c c c5 cc c "c" c cc=C? c c cc c c "cc c c c c c cc
The most difficult aspect of single-deck play is computing the true count.c c c c"c c " c c cc "c c ccc"c c! c c ccc ccc ccc 'c cc 3c 'cc c ccc cc c c c 'c c c c!cc cc cc cc c5 c cc 'ccc c c c c c "c)c c *c "c c "c c c c c c 9 c c c c c "c c c Dc "c %(c 5 'c" cc c'c c cc c c c c 'c c c c"cc c c c c c c c c8cc ccc & 'cc cc5 & 'c c"c ccc c c cAc c c c c Ac c "c D(c ;c c ! c c c c 8c !c c c c c c (c "c (c !c c c c c$c" c cc c c c c c%(c c@c/ccc'c cc c cc
HOMEWO' c c 2 c c c c " c c =C? c " c c c c c c 'c c c c c cc ccc=&/cc c
c c c c c c c c c c c c c c c
esson 19: Advanced Single-Deck Blackjack, ´art 2 c Basic Strategy Variations
Casinos that offer single-deck Blackjack games are very aware that it can easily be beaten by a counter who uses a big bet spread, so trying to play the game with a 1-12 spread like I recommend for 6-deck games will likely get you a one-way ticket out of the casino, pronto.c! c c c c c c cc"' & cc c"c cc(c c cc c" c c'c cc c c'c###ccc c.>cc5 cc"c"c c' c c c cc:& 'cc cccc c c c c cc c cc cc c c
If you know how to count cards, you can use the count to tell you how much to bet on each hand, but you can also use the count to help you play each hand more accurately, too.c c c cc c c c c c c' c c cc'c cccccc c,'-'c c ccc"ccc! c2 c c c&c c c " ccc ccc c c & 'cc " c c cc c c c c c " cc cc
Consequently, you have to sit through a lot more "negative" decks, but the good thing is that a shuffle is never too far away.c 6c c c c c c c ' c c c c c c c c c c c c c c c c c c c c c "c , c c "c c c c c c c c c & 'cccc c c c ccc c c c'cc%c cc c(c c c c c cc c c "c c c cc c c ccc c, cc cc c cc c c 'cc c c c c c, c .c c c c " c 'c&%c&Ac c c c9c c c c c & 'c c cc! c2 c c&:c cL:c ccc cB(Hc ccc c ccc c :AHc c c c " c c c c c c c c c c c 'c " c c c c c" c c c cc c c
Some players prefer to learn just the indices for the most common hands, with the idea that they'll get a hand like A, 4 against a 5 less than 100 times in every 100,000 hands of play, but they'll have a 16 against 10 much more often.c c c" 'c,'-'c9'ccc% c c> c. c ccc ccc c!c c Bc c c c c c c c c , c .c c c c "c c
c c c c ' c c cc c cc" 'c cc c cc cc cc c cc cc c c c c 9 c c c c c c c c c c " c &%c c c c c c'c"c"cc cc cc c ccc ' cccc c c c ccc/c ccc cc cc cc c"cc8c" c cc"c cc " c c ccc ccc c c c"c c c###c cc"c c c cc c ccc c cc
c
But I'm of the opinion that if something about this game can be learned, it should be learned. )/'c c' c cc c c c c " c c c c @*c c c 'c c c "c c c c c c c c c c ""c cc c c cc$&
c c cc, cc c c ccccc c& %c cL:cc c- c cc ""c c> c cc c c c cc c c c cc & 'c c c c"c c c ?cc " c c'cc c c c ccc
ather than talk you through each hand's variation, as I did in the multi-deck section, what I've done here is produce a Basic Strategy Matrix that shows an "index" number for each appropriate play.c> c cc cc c "c cc" c c8ccccc" cc Basic Strategy Variations Matrix for Single-Deck
=Dc>%c c c c c
Dealer's up card
2
3
4
5
6
7
8
9
10
Ace
A,A
Split
Split
Split
Split
Split
Split
Split
Split
Split
Split
2,2
Hit
0
-1
-4
-5
Split
Hit
Hit
Hit
Hit
3,3
Hit
4
-1
-4
-5
Split
Hit
Hit
Hit
Hit
4,4 (Double)
Hit
Hit
5
0
0
Hit
Hit
Hit
Hit
Hit
5,5 (treat as 10)
Double
Double
Double
Double
Double
-6
-3
0
4
3
6,6
0
-1
-4
-6
Split
Split@<0
Hit
Hit
Hit
Hit
7,7
Split
Split
Split
Split
Split
Hit
Hit
Hit
0 (Hit if below 0)
Hit
8,8
Split
Split
Split
Split
Split
Split
Split
Split
Stand@6
-2
9,9
0
-1
-2
-4
-5
6
Split
Split
Stand
0
10,10
Stand
Stand
Stand
Stand
Stand
Stand
Stand
Stand
Stand
Stand
Dealer's up card
2
3
4
5
6
7
8
9
10
Ace
A,9
Stand
Stand
Stand
5
4
Stand
Stand
Stand
Stand
Stand
A,8
Stand
4
2
1
0
Stand
Stand
Stand
Stand
Stand
A,7
1
-1
Double
Double
Double
Stand
Stand
Hit
Hit
Hit
A,6
0
-4
Double
Double
Double
Hit
Hit
Hit
Hit
Hit
A,5
Hit
4
-3
Double
Double
Hit
Hit
Hit
Hit
Hit
A,4
Hit
4
-3
-6
Double
Hit
Hit
Hit
Hit
Hit
A,3
Hit
5
-1
-4
-6
Hit
Hit
Hit
Hit
Hit
A,2
Hit
5
0
-1
-3
Hit
Hit
Hit
Hit
Hit
´airs
Soft Totals
Dealer's up card
2
3
4
5
6
7
8
9
10
Ace
Hard Totals
Hit
Hit
Hit
Hit
Hit
Hit
Hit
Hit
Hit
Hit
5
Hit
Hit
Hit
Hit
Hit
Hit
Hit
Hit
Hit
Hit
6
Hit
Hit
Hit
Hit
Hit
Hit
Hit
Hit
Hit
Hit
7
Hit
Hit
Hit
Hit
Hit
Hit
Hit
Hit
Hit
Hit
8
Hit
Hit
5
0
0
Hit
Hit
Hit
Hit
Hit
9
0
-1
-2
-4
-5
4
Hit
Hit
Hit
Hit
10
Double
Double
Double
Double
Double
-6
-3
0
4
3
11
Double
Double
Double
Double
Double
Double
-5
-3
-3
-1
12
5
3
0
-1
-2
Hit
Hit
Hit
Hit
Hit
13
-1
-2
-3
-4
Stand
Hit
Hit
Hit
Hit
Hit
14
-3
-4
-6
Stand
Stand
Hit
Hit
Hit
Hit
Hit
15
-5
-6
Stand
Stand
Stand
Hit
Hit
Hit
Hit
Hit
16 (10,6)
Stand
Stand
Stand
Stand
Stand
Hit
Hit
Hit
4
4
16 (9,7)
Stand
Stand
Stand
Stand
Stand
Hit
Hit
Hit
0
3
17 or more
Stand
Stand
Stand
Stand
Stand
Stand
Stand
Stand
Stand
Stand
** Hit if below 0 Insure at 1.4 c Using the Matrix
!cc c c cc, c.cF c8c c 4cIf the number in a slot is 0 or a minus, then that play is a Basic Strategy move that you should make as long as the count is higher than the number shown.c c8cc9c:c c%c cc "c c c cc c c$c cc cc c c c- cc c c c cc c c c "c c c cc c c&%c cc)"cc&c ccc&%*c cc c c c c9c c c c c cc c c$c c c cc c ccc$c c cc c!c8 c c cc cc"c c" ce-mail mecc ccc5 c
It's a lot easier to use this matrix if you've memorized the Basic Strategy for this game and if you haven't yet done that, you really should learn it before you get into this advanced mode of play.c c c c c c
c c c " c c c c c c c c c c c c "c c c c "c !c "c cc c c" c cc! c2 c cc' cc c9 c ccc c c c cc ccccc c" cc c cc cc5 c cc c cc c9c c8c c c c9cDc cc c%c cc8c c cc "cccc c c c cc c c c c c @cc c c cc c c c c "c- c c c cc9Dc cAc c(c c:c? c c c cc cccc c c c ""cc c c c ccc9Dc cc%@c/c c c c c" c c cc, c.cc c "c cc cc2 5 cc c cc c
cc c c "c9Dc cc c c c c%ccc! c2 c cc c c cc! c2 c c c cc cc, c.ccc c c c9 ccAc, c.c c c "c9Dc, cc 8c c c c&c c cc c c "c9Dc cAc ccc! c2 c c&c cc c c cc c c cc
et's talk about another variation that may cause some confusion: 8, 8 vs. 10.c !c c c c " 8c c . P:c ccc! c2 c c:c c c cc c ccB c" c c c9 c cc cc c c 5 c c Dc Dc c $c 6 c , c .c c c c c c c c c Dc Dc c $c c c & 'c c c" cc cc cc c c'cc%$c c Cc c c cc c cc c" c, c c cc%c cc cD ccc 'cc c cc
ccc
cc cc"cc c%$c "cc cDc cc c 'c cc c"c c c cc, c cc cc cc c c c" c$c c cc! c cccc c c c&c c c c ccDDc cc$c c c cc c c$c cc cc
Now, take a look at the Hard Totals section, where I have 2 different types of 16s: a 10,6 and a 9,7. cc$c :c c cc c cc c$c cc$cccDc c! c c c cc & cc c c cc c c c c c cc:c $c ccc c c c cc c"cc " c c c5 cc c"c cc c: c c"c ccc c8 c c cc c c ccDcc$c cc" c cc$:c ccc! c2 c c c c c! c c5 cc c c c c c c c :c c $c c c & 'c c c c c c c c c c c c $c )c c c c c*cG cc c c4c cc c c c" c cccc & 'c c" cc c
c c cc:c $ccc c c cc c c c cccc c ccc c c8c$c
ccc" cc8 c c cc c ccc!c c c c cc c cDc c$cc c & 'cc
Anyway, why would we stand with 10,6 vs.10 only when the True Count is at 4 or more?c cc c c ccc c "c c$ ccc c 'cc c 8c c c cc c ccc c c cc c c c c c c c c! c c c$ ccc" c c c c c$ cc ccccc c c c c c c c c c c c c c ? 'c c c c :c c c c c "c c c c c ccc cccc c cc ccc c=c$c:c c$c c c! c2 c c c c c ccc cc
cc c c::c c cc c cc c c cDc'c 4c.PQ$c cc c ccc c: c cDccc c c" c$c
I don't want you to leave without me telling you the most important variation of all, which is the Insurance bet. 6 c c' cc c, c.c c c cc'c c)cc ccc c cc
c c c c c 9c c c c c " c c c *c " c c c & 'c c c c "c " c "ccc! c2 c c c ccc
earning the Basic Strategy Variations
Once you've chosen the Basic Strategy variations you want to learn, you should make a set of flash cards for them.c +8c c c c c c 8 c c ? c c c !c c ,'-'c . c c c c & c c c 'c c c c c c c c c c c c c c c " c c c cc & 'c,'-'c c ccc
c c c c c c c c c c c c c c c c c c c c c c
esson 20: A Field Trip with the GameMaster c
/c " ccDcc . c 2 c .c2 cc c c cc "' c cc c 1cc c c " "c c.c? c"c cc c c" c c "c 'c,'-'c!c ccc c cc 8& 'c 4c c c9&:c "c cc c c c c c c c c c) cccAc c9 c c *c c "cc c c cc" cc#%(($$c" ccc c c c ccc#$c c!c c c c c c A(Hc c c " c c c c c c c c c c D(Hc c c c c
c cc c)c cc2 c *ccc cc cc Basic Strategy Variations
ccc c "c 'c" c ccc cc c c'c cc c c c 'c cc c The basic strategy for double deck is the same for 4 or 6 decks, so there was not a lot there that I needed to work on. However, unlike the 6-deck games where I get up when the true count is -1 or lower, I knew I'd have to play through all the double deck shoes, so I'd need to learn more of the 'minus' indexes in the basic strategy variations.c c 8c c c 8& 'c c c "c c c " c c c c c c Ac c c c (c c c cc c, c c cccAc c(cc& c c c c ccc c
ccc c c&Ac c&:c c c'c c cc c&%c cL$c c"c cccc" c c c c&:c cL$c Money Management
Next I had to work out a betting schedule.c c c'c c cc8c cc"c
c" c cc#A$$$c "' c cc c c c cc c cc c"'cc c cc c c cc c ccc 'ccc c"' c!c c cc c c cA(Hc cc c c9 c c 3cc c $Hc c cc c cccc c c c c(Hccc c c cc ccc c c cc c .c c "c c c c #$c "c c "c c "c c c c c c %c " c c c c c c c c, c "cc c c cc c"c c"cD:Hc cc c c c c c c c cc c c ccc" cc? cDcc
c
c
c
c
c
= cc"c c c c cc c"4cc
True Count c
Advantage c
Optimum Betc
$c c cc
)A(L*cc
$c
cc
(HcOcD:cc
$$ cc
%cc
:(HcOcD:cc
$$ c
Acc
(HcOcD:c
$$BD c
c
:(HcOcD:c
$%( c
(c
%(HcOcD:c
$:A c
:cc
%:(HcOcD:c
$%$ c
Dc
A(HcOcD:c
$%A c
Bcc
A:(HcOcD:c
$%DD Qc
c Following me on this? 9cc"c cc cc c cc c cA(Hc" c cc c cc c ccccc c c%c ' c cc c c cc cc c cc/7! 0c "ccc c c#$c! c cc7192! 29?c"c c c cc#$c c"c c cc c"cc c 9 c c c c c c c "c c " c c c c "' c c c c 8c c c #A$$$c"' cc c "c c c c c cAc c$$BD c Oc #A$$$c;c#%:%%c Here's how the chart looks for a $3000 bankroll:c
True Countc
% Optimum Bet c
Optimum Betc
$c c cc
$c
#c$c
cc
$$ cOc#A$$$c c
#cA %c
%cc
$$ cOc#A$$$c
#c B%c
Ac
$$BD cOc#A$$$cc
#c%:%%c
cc
$%( cOc#A$$$c
#cAD:%c
(cc
$:A cOc#A$$$c c
#c $%c
:cc
$%$ cOc#A$$$c c
#c:$ %c
Dcc
$%A cOc#A$$$c
#cDB%c
Bcc
$%DD cOc#A$$$c c
#cBA%%c
That's the theoretical, not the practical.c 9 c c c " c c c"c c c#$c c ccc c " cc ccc c "c c c 8 c %Hc cc c"' c c c c c c c #$&:$c c cc "' c c "c9cc c:c cc"c cc" c cccc'c cc c cc c c cc"c c c c 'c c 4c c %c c c c c =c c c c c c " c 'c c 3c c cc
Since I would, whenever appropriate, play 2 hands, I'd need a table for the optimum bets for those situations.c !c cc cc(:Hc cc c cc"' c cc c"c cc c c c c c cc c c c c c "c#%(c c c c c c"c c"c c c "c #%(c c c c c c cc c c c, c c c)c c c c c c c *cc c"c c"c
c.c c c"cc c#$c cc c)2 c. c.c2 c ccc c cccc c"cc c c c c c c c c c 3c c c c '*c c c c c c c c c c cc ccc c c cc%c c cHere's how that chart looks:cc
True Countc
% Advantagecc
Optimum Bet for Two Handsc
%c
$:(HcOc(:cc
$$A: c
Ac
(HcOc(:cc
$$:
cc
:(HcOc(:cc
$$% c
(cc
%(HcOc(:cc
$%$ c
:cc
%:(HcOc(:c
$ B c
Dcc
A(HcOc(:cc
$D: c
Bc
A:(HcOc(:c
$%$
c
c
c c cc c #A$$$c "' c c cc c "c c c c c c c c c c 4cc
True Countc
% Optimum Betc
Optimum Bet for Two Handsc
%cc
$$A: cOc#A$$$cc
#c$%c
Ac
$$:
#cA%c
cOc#A$$$c
cc
$$% cOc#A$$$cc
#c%DD%c
(cc
$%$ cOc#A$$$cc
#cA:%c
:cc
$ B cOc#A$$$c
#c
Dcc
$D: cOc#A$$$cc
#c(%%c
Bcc
$%$
#c:A%c
cOc#A$$$cc
(%c
c At ast! The Betting Schedule
Obviously I cannot place a bet of $10.92 so I'll have to round things off in order to arrive at a practical betting schedule. c cc c'c c cc c c c c c
cc c c c cc c " c cc c c c c8ccc"c cc c c c%c c#%$cc c"cccc"c cc c c cAc cc3cc' cc 'c'cc"c c- c
cc c cc c"c/c c c c"c
cc" cc c c c c" c c c c'cc c c c cc
c9 c& & c c c c
c c c c c "c c c c c c c c 8c #$c c c c ccccc c c%cc"c c"c#%$ccc c c c c"c# $cc9 c c c'cc c cc ccc"c cc c c" c c c" c% ccc "c 'ccc% @cc cc c c cc c c'c ccc "c 'cc cc c c c "ccc
c c c c cc c c c" c(Hccc c cccc c c" c% cc c c c c'c(BHc. c cc ccc c cBc c c c HcccA:(Hcc c c cc c" c ! c c cc c c c cc"cc
So, here's the betting schedule I worked out for a $3000 bankroll.c ,c c cc cc"' c c) c
*cc
c c"c cc c c'cc 'c c" c c" cc c cc cc
c c #$$$c 3c c c c c c #$$$c c c c "c
c "c c c c c"c# $$$c/cc c cc c c c cc c c- c c c ccc c
c cc 'c cc c c c"c c 'c) cc c c'@*c cc c c c" cc c9 c c cc"'c c" c#%$$$c c 'cc c
c cc c c" c#%$$$c c5 c c c c" cc"'c ccc
Betting Schedule $3000 Bank - Double Deck (DOA; DAS; SA; Dlr hits A-6)
c
True Countc
Bet: One handc
Two Handsc
$c c c
#$cc
<9c
cc
#$cc
<9c
%cc
#(cc
#$c
Ac
#%(cc
#%$c
c
# $cc
#A$c
(cc
#($cc
# $c
:c ccc
#:$cc
#($c
< cc c c cc c c c#:$c c%c c c#($c c c ccc c c c 'ccc c c"' c c c cccc c- c cc c ccc cc c cc c!cc c' cc ccc" c c c c c c"c c ccc c c cc c c c cc cc c c&&ccc c cc c c c cc&&c c"c c c !c & c
c c cc c c 3c c cc cc c c cc c c cc c c c c c "c c c c c c #(c c #%(c c c c "c c c c c c c c c c c c c cc 3cc c c "c c"c c c c c %c cAc c c c cc c c c c "c c "c #%$c c c c c%c c #A$c c c c cAcWith that, the schedule is $10 times the true, but a bank of $4000 is required to justify those bets.c c- cc c c cc cc ´laying Two Hands
Whether or not one should play one or two hands is more a factor of opportunity than strategy.c c c c c c "c cc"c c c c c c " c cc c c <c c c c c c c c cc c c c" c%c cc c c cc c cc c ccc c!c c cc c c c 4c c"ccc c c c cc c c&&c c c c c c c c c c c&&c c"cc c c! c 'c" cc & & ccc cc c c cc cc c c"c c" c($Hc" c c c c c($Hc c cc c. ccc ccc8 c"c c" cc8 c c c c c c c c c cc c cc c c cc"c. cc c c cc"cc c" cc c"c c cc c cc
If there is at least one other player besides me at the table, I'll then spread to two hands whenever possible.c c c c c c c c c c c 3c c c c c c c c c c c c c @c c c" c c .c" c c c' cc
ots of gamblers play two hands, so the maneuver won't draw a lot of attention to you unless you make a big deal about it. c c c c c c cccc cc c -c"c c c c c c c" c cc ccc c"cccc c c c" c9 c c c 'c c c c cc8c c cc c c cc c c c cc c c c c c c c c ccc c c c c c c c c c 6 c c c 'c c " c c c c c c c &&c - c 'c c "c c/cc'c c c c c c ccccc- cc"c) c c ccc c- c *3c" c c c'cc c c' cc c c c c c c c- c c c c< c c,.c" ccc' cc 'c c'cc"c c cc
c
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´ractice Makes ´erfect
Next I had to set up a regimen of practice to get used to playing a double-deck game. c c c c ' c c c cc c c cc cc c"cc c c cc "c c ' cc c"c c c
c c cc& 'c c cc c c%:c c c c ' c c c c c c c "c "'c c 'c c c c c c c c c c c c c c c c G c 'ccc& 'cc c 'c cc 'c ccc c c c c cc "c c cc c"c c c c c "c c c c c c c " c c 'c c ' c c c c c c c c c c c c c c c"c(c c(cc cc c c cc c c c c c "c c c c ' c c 'c c 3c c c c c c %%c c c c c c c c c cc
But the practice I did most was with a program called "Blackjack ´rofessor" which I set up to reproduce the conditions and rules for the game at Station Casino St. Charles.cc c c c c c c c c cc c c c c c c & & c " c c c c c c c "c
c c c c 5 cc c ccc c c8cc c c#$c"c cc c- c c "c cccc c c cc c c c c c ccc# $c"c cc8c c c c c'c cccc c c "c#%$c c cc c c# $c cc8c ccc cc8c c2 cc c cc c cc c c c c ccc"c cc- c c c c ccc c,c ccc ccc c cc c"c c cc c c8ccc c=ccc c c:c c c c c c 1"c c c c c c c c " c c c c c "c c c c
c" c c cc c c%c c" c c c c ccc"c!c cc cc " c ccc c:$c cc cc c c c cccA$$c cc c c c"c cc cc cc
$ won c
$/hourc
% advantagec
B$AHc
:($$cc
# Acc
:$Hc
(:c
D %Hc
A($$c
#A(cc
AHc
Ac
(::c
($(Hc
%D%($cc
#%BBc
%Hc
cc
D%c
A( Hc
)A ($$*cc
)# AB:*c
) AH*c
(c
DDAc
:A:Hc
) $$$*c
)#AB*c
)A$AH*c
:c
%$cc
( Hc
A$%($cc
#B (cc
BA(Hc
Sessionc
# of handsc
c
%D:cc
%cc
% wonc
c This totals to 4603 hands which represents about 76 hours of casino time and a profit of $490 or $6.44 an hour. cc c c c"c c8 cccc"c c c" c# c cc c c c c:c c ' c c c"c" cD:Hcc c" cc cc c c8ccc"c c cc"c c c cccc c c" c#$($cc c c c!c c cc c c c cc c c c ,'-'c c c ' c ! c c c c c c c c c c "c '3c c c c c c cc ccc
Actual ´lay
9cc " c c 3c c c cc c c c cc ! c c c c Dc c c ccc c" c cc#$c c#:$c 4cc
. cc
%(c c
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. c%cc
(c c
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. cAcc
%$c c
#% $c
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%$c c
#%($c
. c(c
A$c c
#A((c
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A$c c
#%$(c
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%(c c
)#%:$*c
c These actual playing sessions total 16.5 hours of play and a profit of $270 for an hourly income of $16.36.c c c
ccc c c cc c" c c c c cc"c
c c" c c c ccc c ccc ccc cc c c ccc'& ccc c c c c ccc c "& 'c c c c "c 'c c 02=c c c c c :c ' c c c c c c 'c /c c ccc cc cc" c c c8 c cc c c c c c c c#D$cc%(c c cc cc c#:A%$c!c "c c"c c" c ccc c c c cc ' c /c c c c c ""c c " c :(Hc c c c c c c "'c c c c c !c c cc c cc c c#%$c c c c c c cc"'c c! c c c cc c " cc ccccc- "c
I hope the thought processes which I've tried to show in this lesson give you an insight into how to structure a plan for your own play.c c cc c c c ccc c c cc c ccc c cc c c c"c cc ccc
/ c8c c c c ccc> "c>'ccc
c c c c c
esson 21: Beating The Double Deck Game - ´art 1 c At first glance, it would seem only logical that a smart player will do better at a game that uses fewer decks, but that's not always the case when you compare double-deck games with six-deck games.c9c c c " c c cc cc c cccc c cc cc c"c c5 c cc c c cc cc c c c c c c c c c c cc'cc c"c"c c c c "& 'c c cc c' c c c cc"c c"cc c" c c'cc" c cc ccc cc c"c c cc "& 'c ccc5 cc c" c9 c c cc c c cc"c c cc cc 8& 'cc" c cc c"c c cc c cc c c c , c c & c c c c &c c cc c c- c"c "c c cc c" c cc cc cc c###c
< c ccc c 3c if the rules are the same, a game using two decks will have a lower casino edge than one that uses six-decks, yet the strategies are almost identical.c cc c" ccc c) ccc cc c c*cc ccc%& 'c! cc'c c"ccc!c c, c.c c c "& 'cc c " cc c c &c c 8& 'cc c c cc c & 'cc !c c c "c c & 'c c 8& 'c c c c c c ) c c c c c c Dc "c c c c c *c c c c c c c c c c c c c c c c c c "c cc"c c" c c c'c" c c c"ccc cc c c ccc cD c c c
cBccc "& 'cc cc 8& 'c c c cc< cc c c c c c cc
My point is that you can move back and forth between DD and 6D games and not worry that you're playing improperly, but the big question is whether or not you should.cc c cc & c c c c c c c c c c c c c c+cc c cc "& 'cc c cc & c c c c c cc cc c cc
For whatever reason, many casinos treat their double-deck games as "premium" games,c c c c c c" ccc c"c c c "c c cc c c c c"ccc c cc cccc. c c c c'cc cc c cc ccc>>c c cc c c "cc " 8c c " c c c cc c c' c c c cc c c c c"c" cc cc cc &"c The reality is that beating the double-decker takes extra effort and some sharp play by the counter. , c ccc c c c cccc
The primary advantage to playing a double-deck game is the volatility of the count.c0'cc &c c:& 'cc c c cc c c cc! c2 c) ccc '*ccc>>ccc c cc5 'c " c c c c c c
c cc c! c " c ccc c cc" c c cccc c c c c! cc5 'ccc>>cc cc c c' c c" cc5 c c ' c c c cc! c2 c c c c c"c cc c c ccc"c ccc'c cc c
c
The 'ey: ´enetration
Because a DD game uses only 104 cards, versus the 312 of a 6D game, just a few extra cards of penetration can make a big difference in how well you can do at the game. c c ,'-'c . c c c c c c c c ccc cccc:& 'ccc cc:(Hc cc cc c" cc cIn a DD situation, 65% penetration is very acceptable, 75% is fantastic and 80% or more is phenomenal.cc c c 'c c c ccc ($Hcc6cc c c c ' c cc c c c cNc cc c cc c
But penetration is really important, so it's something you need to become familiar with.c c cc c >>cc c c c c 9&:c c c "c c c c c c "c c c c c c c c &Bc "c c ) c 8c c c *c c c c c c ($Hc c c c c &c c c c "c c c c c c . c ,'-'c 9c c "c " c $: Hc c c c c c :$Hc c c c c c c$(Hc ccD(Hc c c DHc! c c" c c' cc
et's recap thisc cc cc 4c
Impact of ´enetration on a Double-Deck Game
7c7 cc ! c7c+ c ($Hc
$: Hc
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DHc
c 9c'c c ccc c c ccc"ccc! c2 c c c&c c cccc "c!cc "cc c c cc:& 'c c c c c c c cc>>c cTherefore, you have to pretty well accept the fact that you'll be playing in all counts, which makes the penetration factor even more important.ccc c c c c c c " c c c c c c ,c c c c c c "c c c c c,'-'cc cc c c! cc c ccc cc 3c c" c c c cccc"c" c c$Hc c c c ccc
c
c
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Getting Started
c c c c c >>c c c c c c c c c c " cc ccc c c c c c:>c ccc c c c 4c c c c cc>>c cc c c cc5 c c c cc ccc ccc %c , ccc"c c ccc"ccc c c c c cc cc, c.c cc Ac c>>c c5 cc c cc cDc) c c c cc c c *c ccc c , c.c c c6 ccccc"'-' cc c c c"c cc c c c c c'c c cc c cc cc cc "c Fcc cc cc
. c c c c 'c c c c c"c"'c8ccccc c c c"cc ccc
c c c c c c c c c c c c c c c c c c
esson 22: Beating The Double Deck Game - ´art 2 c
cPart 1 (lesson 21)c c c c cccc'c cc c c c c c c cc c
more than 50% into the decks before shufflingc9 c cc'ccc###ccccc c c
'c c c c c c " c c c c c c c c c c c . c c c "c c c"c cc"c"c c)'c#(:$c c c#( $c c8*c" c c cc c c c
A bigger (or wider, if you prefer) bet spread - the ratio between your minimum and maximum bets - creates its own set of problems that you have to consider.c c ccc>>c ccc c" c c cc c ccc#$c"c cc&%c cc5 c c c'cc#%$c c"c!cc5 cccc "' cc ccc#A$$$c c c ccc,'-'c. c c cc#(c c"c 8&
'cc!c c c ""cc" c "c ccc cc c!c' cc cc "c "c "c c c c c "c "c c c c 'c c c c c c c c c c c c c c#$%$c c c c cc ccc- c c c c c c c & c"c =c c cc cc 3c c' c" c c cc c c cc c"c c
But, surprisingly, there isn't that much to gain in overall advantage by going from a 1-8 spread to a 1-12 spread in our "core" game,c c c %c ' c c c c 9&:c c c "c c c c c c c c c c c c c c c +c c c c c c c c :$c c c c $ c c c )(DHc *cc&Bc"c cc c c"c c ccc! c2 c)!2*c cc c c c cc%c c c cAc 8c cc c cc ccc!2c c(c c cc cc cc"c c c c$(BHc(See Part 1 for how this is calculated.)c9c&%c ccc!2c c c c c"cBc cc cc(c cc c c:c c c cc c c c c c "c c c $BHc That tiny extra edge is hardly worth the cost of the added risk of ruin and the extra scrutiny you'll get from the "pit critters" while using it.cc
!c c cc cc c 4cThe penetration is just so shallow that you'll seldom be making a 10- or 12unit bet, but you need them to make up for all the minimum bets you'll be making at counts where the casino has the edge over you.cc ccc cc5 cc"ccc 8& 'c c"ccc"ccc!2c
c c&c c c" c c c c ccc c c "c c c "& 'cc c cc c cc ccc cc c c c c. c c cc c" c c5 'c c c c "c c c c c !2c c c c" ccc c " c " c c ccc c c c c c c c c cc cc c'c cc c cc"cc c c cccc c c c cccccc 'c c c###ccc c ccc
c
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Betting With the True Count
For each increase of 1 in the true count as figured by the Hi/o counting method, the player's advantage increases by about .5% in the average Blackjack game.c cc c cc c cc" c cc c Hc )%c ' c "c c c c c c "c c c c c c c 9&:c c c c c "*cc' cc! c2 c)!2*c c- c" ccc c ccccc c,cc ccc c c c c" c ccc c c c Cc c&ccc c c&ccc! c2 c c c9c!2c c%c cc cc c c(Hc cc 3cc!2cAc cccc c cHc c c c! cc c " c" c" cc!2c c" c% c)c ccc c c'cc c"*cc c
"& 'ccc c cc c ccc!2c c c ccc cc$(Hc
It is the edge that a player has on the upcoming hand that determines their bet.c2 c"c cc c c ccc cc c c" ccccccc c cc c ccc c,c"c c cc cc c cc c) ccJc2 *ccc8cc c9c c c c ccJc2 c"c ccc c"c cc c c cc c!c 'ccc cccHc c c c"cHc c c"' c cc c cccc c c c "c cc cc c ccc c cccc cc 'c cc cc c c ccc c'c c c" cc c"c cD:Hc cc c cHere's a table of optimum bets that will work well for a game where the casino has a 0.41% advantage over the Basic Strategy player:c
True Countc Advantage c
% Optimum Betc
&c c cc &c$Hc c c $Hc $cc
&$ Hcc
$Hc
cc
$$H8cD:Hc
$$DHc
%c
$(Hc8cD:Hcc
$ (Hc
Acc
$Hc8cD:Hcc
$BAHc
cc
(Hc8cD:Hcc
%Hc
(cc
%$Hc8cD:Hcc
(Hc
:cc
%(Hc8cD:Hcc
DHc
Dcc
A$Hc8cD:Hcc
%A(Hcc
Bcc
A(Hc8cD:Hcc
%DAHc
cc
$c8cD:Hc
A$Hc
$cc
(c8cD:Hc
A Hc
c By using this table, you can determine the optimal bet for any bankroll;c- c cc ccc c c"c c c cc"' c! c cc"' c c$5000cc c"c cc c c c2 is .0045 X $5000 = $22.50cc
Some ´ractical Considerations
c c cc cc c"cc c c cc#c cc"c
c c"c c c. cc c c c c "c c c c #(c c #$c c c c 'c 'c c c "c c c c c c c c c c c 'c c c c "c c c c c "c c c c c "c c cc c"c c cc"' c c c c ccc- c c "c cc cc c c c c c c %c c c c c c c c 'c c c c " c c c c c c c All of this rounding and negative-deck play cuts into your win rate, but by knowing the conditions that can cost you money, steps can be taken to minimize their impact on your earnings.c The Betting Spread
The most effective 1-8 betting spread would be to bet one unit whenever the casino has the edge and 8 units when the counter has the edge. !c c c c c " c c c cc c c c c c' c c c c c " cc c c c cc 'c 'c c c c9c c "c "c cc c"c'c c8 c"cc c ccc c c c$$Hc. cc c c c cc c cc c c c c c ccc c 'cc cc c cc c c"cc c &c c c"' c, cc cccccc) c c' c c cc+ c*c cc c'c c c"' c c c"cc- c($c c c8 c"c9c"' c c%$$&A$$c8c " c c"c c ccc cc
A more practical answer to both of the problems presented above is to "ramp" your bets, which is another way of saying gradually increase them. c c c "c c #$c c c &Bc c c 'c c c "c #B$c c c ccc c c> c cc c'c cc c c"c cc"cc ccc! c 2 c ccc cc c c- cc c c c"' c c"c? c c c c c"c#B$c cc!2c c(c c c!c c"c cc c c(Hc c c c"' c cc c c#B$c"c$$(c c c#($Ac cc c"' c< c"c c c "c 'c c#B$c "c cc c " c c c c"c c cc"c cccc c" c#($$$c cc c "c c cc c cc
G cc5 'c c4c!c#($$$c cc c c c c"cc c c c c c" c c cc ccc c ccc cc c c c cc c"' c c%$c c" c c#:$$c c c" ccc"ccccc c c cc'c" cccc
c
c
c
With a $5000 bankroll, the betting schedule could look like this:c
True Count c ´layer's Bet c Optimum Betc $c c cc
#$c
#$c
cc
#$cc
#A($c
%cc
#%(c
#%%($c
Acc
# $cc
# ($c
cc
#:$cc
#:$($c
(cc
#B$c
#D($c
:cc
#B$cc
#B($c
Dcc
#B$c
#D($c
Bcc
#B$cc
#A:($c
cc
#B$cc
#(($$c
$cc
#B$cc
#D ($c
c ´lease notice that "Optimum Bet" means the best bet for that count, were you able to make it. , c c c "c c c c#B$c c
c cccc c c(c c c, cc c"c cccccc "cc#($$$c"' c cc " c 4c #$$c c c!2c c :c c c c c c cc c c c "' c c"c"ccc#:$$c c cc The Bet Schedule Examined
First of all, I hate this schedule for a lot of reasons.c !cc c cc c c c c c cc c )72 *c c ' c c c c "c c c c "c c "& 'c c c &Bc 9 c c c c c c c c c c c c "c c #$c c cc "c R@c#B$Ncc
c c c B$c c c$@c+cc' c72c' cc> c ccc'c c cc cc c c c'c c c cc cc cc c c c c c c B: c c c >>c c " c c"c#%(ccc c c#%$$ccc8 3cBc cccc "c cc>>ccc c cc c c ccc
The other reason I hate this betting schedule is, it's "clunky".c ,c c c c c 5 c c c c "c c c c"c c c c cc c! c c c c#$c c#%(cc ccc ccc c#$c"c c ccc "ccc, ccc c c# $cc cc c c cccc c c ' c c 'c 'c c "c cc c cc c- c c c c c)#($*c9cc # $c c c c#:$c c c c" c " c c c ($Hc cc c cc c c cc c c c c c c c cc Cc c c cc c c, cc cc c"c'cc c cc c cc cc c'c c"c cc c c c cc ccc c C ccc c
"'c c c"cc ccc cccc c cc c" cc c2 'Nc7 c c"c c" ccc c c c cc c ccc c c c c cYou don't need that. But what's the alternative? et's look at some possibilities.cc The Betting Schedule Simulated
To test this betting schedule and to find some alternatives to it, I ran a series of simulations on Statistical Blackjack Analyzer (SBA) using the rules of our "core" game: 2 decks, double on any first two cards, double after splitting pairs, dealer hits on A-6 and surrender is not available. What got changed from simulation to simulation will be shown in the explanation for each.cc c Simulation #1
&c, c.c ccc cc c7 c,c c c cc
c " c c cc =C? c c ccc"c c c c cc c c)c*c7 c c:$C$ cc
esults: Initial Bet Advantage: 0.59% SCOE: 13.31 Estim. ´ayoff per 100,000 rounds played is $10,325.65, with an estimated standard deviation of $8950.40. Average st. dev. per round: $28.30 Av. std. per round per unit: 1.13153 Average bet per round: $17.42 Comments on Simulation #1c&cThis will serve as our "baseline" game and it's easy to see you'd really be wasting your time at it. The primary reason is the shallow penetration, just as I showed you in ´art 1.c !c .2/1+c c c c cS ÷÷"÷C # cOOc $ ÷E% cc c c"c
& c c
c c c c8 cc c" 'c'$$$c% c ccc c c c c c c c cc cccc c cc c ccc c"c
c ccc c"c84cccc.2/1+cc c###c c'c9 cc c cc.2/1+c c $&($c c c"cc c c c 'c ccc cc"ccc
!c c " ccc c &8 c)cN*c cc c"cc.,9c c c" c c c c c c c " c c c c c " c c $$$$$c c c c "c c c c c c
c! c "c c c c c c c5 ccc ccc c"c"ccc c c cccc c c 4cc c cc$$$$$c c c cc)c$$c cc c c $$$c c cN*c c8 c c cc c#$$$$c= cc#$$$$c cccc c c c cc c c ccc c cc cc c8 cc c c cc cc c c c c c c c c "c c c c #$$$$c c #B($c c #$($Nc ! c " c c " 'c c c
. c c "cc 'c)" c cc c ($c *c c c cc $$$$$c c c c c c c c c c#($$$c"' c cc c c c8c c cc c cc cc c9 c c cccc c c c c c c &"c c c c c c "c c Some people use stats like this to justify their idea, "It's all luck, not skill" and they couldn't be more wrong. , c ccc ccc c c c c" cc c cc c c!c> 'c c 4cc" c c7c7 c c'c" c 'c c ccc c Simulation #2
&c+c cc c8cc c c, c.c cc c ccc c)! ccc cBccc8 cc,'-'c9'c% c cc c c"c'c ccc!2c c % *c
esults: Initial Bet Advantage: 0.92% SCOE: 30.51 Estim. ´ayoff per 100,000 rounds played is $16,048.10, with an estimated standard deviation of $9187.70. Average st. dev. per round: $29.05 Av. std. per round per unit: 1.13153 Average bet per round: $17.42 Comments on Simulation #2 - You can quickly see that the average bet remains the same, but the potential profit has increased by nearly 60% and that's due to making better plays with the cards you're dealt.c c c c cc c c8c ccc"c cc ccc c, c.c c"c- cc c " c c cc c'c cccc 8& 'cccc cBccc c cc###c c c cc c c ccc" c cc c cc c & c c c cc%c c c
c c c c 'c c c c c c c " c c "c "c c c c c 5 cc c cccc"c" cc c c c cc cc cc ccc&:c c L$cc cc cccc c'cc c Simulation #3
In this one, I want to "de-clunk" the original betting schedule presented above by making it less precise and by using as few $5 chips as possible. ccc c c c cc c c #$c"c " c cc'c c5 'cc"c#%(ccc c cc c c c#B$c c cc c c cc c "c cc c c"cc 4c#$c c, cccccc& ccc c"c"c#($ccAc #D(cc c c c c c"c#B$c c#$$cc(@c! cc5 cc"c"' cc cc"c c
#$ccc!2c c(c" c#:$$$cc c cc cc c c"cc c cccc cc(c c c c c c c c c c c ' c c c c "c #$$c c c c c c c c c" ccc c c cc cc cccc#$$cc c cc"cc c" ccc"Nc /c c' c c cc" c'ccc c c'ccc cc8cc c c9 c c c c c c c cc c c c" c cc c cc c c & c c cc c c c c c
cc cc c ccc c c7 c c c cccc c7c c = cc c ccThe GameMaster Online - The Blackjack Pagecc c'c c c c'c c c
= cc
c c c c c c cc c'cS%4c
True Count c ´layer's Betc Optimum Betc $c c c
#$c
#$c
cc
#(c
#A($c
%c
#%(cc
#%%($c
Acc
#($cc
# ($c
cc
#D(cc
#:$($c
(cc
#$cc
#D($c
:c
#$cc
#B($c
Dcc
#$c
#D($c
Bcc
#$cc
#A:($c
cc
#$cc
#(($$c
$cc
#$cc
#D ($cc
c c cc c"c#$c" c"cc cc3c c c"c#B$c c c c c"c#$$c/ c 'c c c c c c c "c" c c cc c- cc
esults: Initial Bet Advantage: 1.02% SCOE: 35.33 Estim. ´ayoff per 100,000 rounds played is $19,845.70, with an estimated standard deviation of $10,557.60. Average st. dev. per round: $33.39 Av. std. per round per unit: 1.15907 Average bet per round: $19.40 Comments on Simulation #3c&c =c c " NcWe've just about doubled the estimated profit and it would take a two standard deviation event to put us at a loss, but even then it would be only (!!) $2000 or so.c c " cc c c c"c"c
c" cc c c c @c6 c c c c&$c c c c c ccc c c5 c c c c c c cc c, cc c c #%$C c c c cc c
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esults: Initial Bet Advantage: 1.40% SCOE: 67.41 Estim. ´ayoff per 100,000 rounds played is $29,929.60, with an estimated standard deviation of $11,527.45. Average st. dev. per round: $36.45 Av. std. per round per unit: 1.1583 Average bet per round: $21.43 Comments on Simulation #4c&cWow! This puppy makes you want to run out and find a game, doesn't it? , c c c c c cc c c c"cc c c c'c c c cc$$$$$c c" c c"c c cc"c5 cc"c= c @cc.,9ccc cc" cc' c'c cc c cc c "c! c c c$ :AD:c c cc c %% :ccc c c ! c- c " c (Hc cccc cc"c "c. cc'c'c cc c c ccc$$$$$c c cc cc cc c#(cc c cc c c"cccc c c c cc c"cc cc"c c cc, c c c c ccc@cc
You actually make more per hour under the conditions of Simulation #3 because you're "on the green" almost all the time but you make more per hand played when you use the tactics of Simulation #4.c?'c cc c ccc c cc c c c' cc c
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esson 23: Beating The Double Deck Game - ´art 3 c Double Deck Basic Strategy Variations
Beating the double-deck Blackjack game requires that you first find a game that offers decent penetration and a minimum bet that will allow you to spread your bets from 1 to 8,cc c cc "c cc c" c c c c"' c9 c c c c5 c c c 'c c ccc c c c c c cc cc
If you know how to count cards, you can use the count to tell you how much to bet on each hand, but you can use the count to help you play each hand more accurately, too.c c c c c c c c c c c ' c c cc'c cccccc c,'-'c c ccc"ccc! c2 c c c&c c c" ccc cccc c "& 'c c" cc c c cc c" c c c c c cc 8& 'cc
Consequently, you have to sit through a lot more "negative" decks, but the good thing is that a shuffle is never too far away.c 6c c c c c c c ' c c c c c c c c c c c c c cc c cc c c c "c, c c'c"c c cc cc cc c "& 'cccc c c c ccc c c c'cc%c cc c(c c c c c cc c c "c c c cc c c ccc c, cc cc c cc c c'cc cc c cc, c.c c c c " c'c&%c&Ac c c c A realistic range for most double-deck games is a True Count of -6 to +6 and that will cover 85% of all the hands you'll ever play, assuming 50-60% penetration. c
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, c c cc ccc c" c ccc"c cc c"c c)/'c c' c ccc c c c " c c c c @*c If double-deck games will be where you'll spend most of your time, then it's probably worth the effort to memorize all the indices presented here. , cc c c ccccc c &%c cL:cc c- c cc ""c c> c cc c c c cc c c c cc
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It's a lot easier to use this matrix if you've memorized the Basic Strategy for this game and if you haven't yet done that, you really should learn it before you get into this advanced mode of play.c c c c c c
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!cc c c cc, c.cF c8c c 4cIf the number in a slot is 0 or a minus, then that play is a Basic Strategy move that you should make as long as the count is higher than the number shown.c c8cc9 c c c cc "c c c cc c c$c cc cc c c c- cc c c c cc c c c "c c c cc c c&Ac cc)"cc&c ccc&%*cc
c c c c c c c c c c c c c c c c c c c c "c You hopefully know that proper Basic Strategy tells us to never take insurance (even when you have a 'natural' and the dealer's up card is an Ace, in spite of what everybody else tells you)c" ccc & 'ccc c "c" c "ccc! c2 c c%c) c% cc cccc c c *c cc
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earning the Basic Strategy Variations
Once you've chosen the Basic Strategy variations you want to learn, you should make a set of flash cards for them.c +8c c c c c c 8 c c ? c c c !c c ,'-'c . c c c c & c c c 'c c c c c c c c c c c c c c c " c c c cc & 'c,'-'c c ccc
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esson 24: Understanding the Surrender Option c
ccc"cc c c cc9c2cc cc c"cc!c c cc c cccc)1 c *c c c cc,'-'cccc cc " c"cc2 c 2 c 2 c and that included a weird rule called 'surrender'. At least we thought it was weird until we figured out what a huge advantage it gave to the player who used it correctly!cc
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c c c c cccc c ccc cc c c cWhen allowed, you may elect to give up half the amount you've bet rather than play out the hand. ccc c cc cc c c cc c8 c c c c cc($Hc ccc c cc c c!c c c c c 4c c c c ! c c c c c c c c c ' c c c c Cc c c "'-'c)cc9c c$c c *c" c cc'cc c c c92ccc c c ccc cc c cc cc c "c " cc c'cc Cc c c c!cc " c c " c c c c c 'c c c c c ' c c c c c c c c c c ccc cc
These days, the most common form of surrender is the 'late' version where the dealer checks for a natural and, if s/he doesn't have it, then you may surrender.c! c c cc c c ccc c ccc c Cc ' c c"c" c cc c , cc c cc c cc c "c c c c c cc c cc c
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If you count cards, the surrender option is an even better deal as the count goes up.c c c c c cc c c c c c c ' c c c c c c c c c c $ c c c ) c 9 *c c c c ') *c cc c c cc cc
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The use of surrender is, from my experience, interesting from a 'camouflage' point of view.c9 c cc c c c & c c c 'c c ' c c c c c 'c c c c c 'c c. c c c cc c c 5 c c cc c cccc "c
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Additional esources: And I'll have a side of aces.... c c
If I were to ever go to work for a casino as a 'counter-catcher' (not likely), I'd watch certain players' feet to tell me if they were counting or not. !c @c 6c c c c c c c c c "c c c c c 'c " c c' c c c c cc
No, I haven't gone crazy ( I could understand you thinking that way if I EAY went to work for a casino to catch my brethren), because the feet are a great place to keep track of the aces played from a deck or shoe.c6 c ccc cc c ccc c ccc c,'-'c c"c c cc 3ccc ccc c cc"'-'c c cc cAc c%c, c cc ccc c8c c c "c c ccc c=cc(cccc c c cc:c< cc c cc
In multi-deck games, a counter will make most of his $$$ via a large betting spread. But, in a single-deck game where it's difficult to get a large spread (because of camouflage purposes), playing the hand accurately is very important.c ! c c c c c c c c c c c c $c c c c ,c c c c c c c"c cc8c ccc c"c, c cccc" c c" c c"c 'cc c c cc c c c cc c cc) cc c c'c c c c cc c= c ! ccc,'-'c cc.c7c c c *c
When I play single-deck Blackjack, I use the Hi-Opt 1 count which assigns a value of 0 to aces and make temporary adjustments for betting purposes. .cc c 'c c c c c cc c c ccc c c c c cccc ccc c cc ccc cc c c c 'cc c"'c c c c c cc c c c SAc c cc c cc c c cc c)!c @c cc c c @*ccc cc c c 'cc c ccc c cccc= c c'c'c cc c c c c c c c c c c c c c c c c c 8 c c c c c c c ' c
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Additional esources: Multiple-card Soft Hands c
Of course, even a two-card hand where one card is an Ace is a multiple-card soft hand, but players who have memorized the proper basic strategy know what to do when they get one.c !c "c c c c c c c 'c9%c)Ac cA*c ccc c c c c c(c c c c c 9%(c)Bc cB*3c cc c c c c @c < ccc c ccc c c c" c c cc c c c'cc ccc cc cc cc. c cc c c c cccc c c c cccc c
I think one problem some players have in dealing with this area of the game is that they try to work the doubling rules into their thinking when faced with a 3 or more card soft hand. They then realize that they can't double, since it's no longer a two-card hand and then they get confused. c 8c 9Dc c c c c c "3c 9%c c c c c. c c c c9%c c c c ccc c (c6 c c cc 5 c c 9&Dc " cc
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The hand of soft 18 is usually the problem. Most people think it's crazy to hit an 18, but most people are wrong. 9 cc ccc cBc cc c c ccc c c, c"ccccc c cBAHc c BHc9 cc$c c c c c" c c 3c"ccc c c c cBHc c AHc cc c c c c 9c c c c 9:c c c c c c c c 9Dc c c c c c c c c c
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Thus far, we agree to stand on all soft hands totaling 18 or more, EXCE´T we hit soft 18 vs. 9, 10 or A. et's now look at soft 17 from the players' point of view. 9:c c c c c c c & c 3c c c c c ccc ccc c c ccDc! cc c- c'cc3c "c cA&:c cc&c c ccc c c cc & c c cc c c c c"'c ccc c c cc "cc9cc c c9%c cAc cc3c c c ccc c c cc cDc ccc" c cc "c6 c c' c c c c cc"c cc c c c " cc'c c c "c 'cc c" c c 7 "Nc c c ccc cDc cc cAc c c Hc ccc###c"cc c c" cc c c ccAHc c cc Hc c?cc "c.c " cccc c c9:c cc &
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