Optimal Blackjack Strategy with a Wagering Requirement
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By Arnold Snyder
(From How to Beat Internet Casinos and Poker Rooms, Cardoza Publishing, 2005)
© 2005 Arnold Snyder
Our blackjack guide takes your from the basics to advanced strategy and card counting for the game of 21. Learn the basics of gameplay and how to create the perfect blackjack hand. Understand betting with the rules of blackjack including how to buy insurance and when to double down. Blackjack Forum An independent and uncensored Blackjack Forum community to discuss Card Counting techniques, Strategy, Tournaments, Advantage Play, and more. Strategy involves number of boxes, positions and wagering increases. Also card signaling not counting. Casinos should be worried. Early testing shows a clear edge for the player. This is a unique strategy and will have the edge above all other blackjack strategies including card counting. Blackjack can be broken down to a mathematically-proven, superior way to play each hand called Basic Strategy that has been tested and refined through computer simulations based on the work of early pioneers like Dr. When followed correctly, basic strategy reduces the house edge to as little as half of one percent.
Go straight to Blackjack Online Strategy CardWhen you are playing blackjack online to meet the wagering requirement for a bonus in an Internet Casino, or in any other situation where you have a wagering requirement, the best basic strategy for blackjack changes slightly.
If you are unfamiliar with standard blackjack basic strategy, see Learn Blackjack Basic Strategy in the Blackjack Forum Gambling Library. That article is an introduction to the logic behind normal blackjack basic strategy, with comprehensive charts.
For those who already know blackjack basic strategy who are surprised to learn that correct strategy with a wagering requirement would be different, here is the logic as it applies to a double down decision:
If I want to know whether I should double down on a total of 9 against a dealer deuce, I have to consider the return on getting double the money on the table with this strong total while giving up the option to rehit the hand if I am dealt a 2 or 3 on it. To double down on a 9 v. 2 and catch a deuce on it is a truly miserable result. Here I am with a total of 11, that I cannot take another card on, and I have double my bet on this hand!
As it turns out, this is one of those borderline decisions that changes according to the number of decks in play. In single and double-deck, the basic strategy is to double down on the total of 9 v. 2, because having that one deuce taken out of play (the dealer's upcard), has removed a significant enough percentage of the remaining deuces to make the double down the optimal play.
In fact, with three decks, it's correct to double down on 9 v. 2 if my total of 9 is comprised of a 7-2, since this would mean two deuces would have been removed from the remaining cards. But as soon as we get to 4 or more decks, the basic strategy for 9 v. 2 is to hit, and not double. That's how the logic works.
But let's look at how much of a borderline decision this is. In a shoe game (and it will be slightly different with 4, 6, or 8 decks), if I am dealt a total of 9 v. 2, I have a approximately a 7.85% advantage over the house if I just hit. In dollars and cents, this means that with a $100 bet, my average return on this hand with basic strategy (hit) is to make $7.85.
How much money do I lose if I double down? Well, not really that much. If I double down on this hand in a 4-deck game, my win expectation is about $7.45. Card counters who table hop and play only plus counts just about always double down on 9 v. 2 because with most balanced count systems the index number for doubling down on this hand is 0. If you have just the slightest positive count, doubling down becomes the correct play.
In any case, since a return of $7.45 is less than a return of $7.85, basic strategy with 9 v. 2 is to hit in all games with more than three decks, not double down.
But, consider an Internet 4-deck game where I have a wagering requirement to fulfill. Let's say I have a total wagering requirement of $2000, and I've already played through $1800 in action. In other words, I have exactly $200 of action left to meet my wagering requirement. The casino allows a $100 max bet. I place a $100 bet, and I am dealt a 9 v. 2. How should I play it?
Consider:
If I hit, I have an expected return on this hand of $7.85. I then must play one additional $100 hand, and I must assume that the cost of this random hand will have the house edge of 0.50%. This second $100 hand that I must play to meet my wagering requirement has a negative return of -$0.50. So, for these two hands, my total return is $7.85 - $0.50 = $7.35.
If, however, I violate standard basic strategy and double down on my 9 v. 2, my total return on the $200 in action will be 10 cents higher, $7.45. So, when there is a wagering requirement, basic strategy for the 4-deck game changes.
But, with 6 decks, if I double down on 9 v. 2, it will cost me about 21 more cents than hitting and playing a second hand against the house edge, so with 6 or more decks, it is best to follow the standard multiple-deck basic strategy for 9 v. 2, and just hit.
The logic here does not require that you be down to the last two bets of a wagering requirement. As long as you are playing to meet a wagering requirement, and every additional bet (double or split) that you don't place on a hand where you have this option will require another bet on a random hand with the house edge, you will be in a situation where the value of doubling down or splitting must include the value of eliminating a random hand that must be played at the house advantage.
In any case, the value of following a Wagering Requirement Basic Strategy as opposed to a standard blackjack basic strategy where no wagering requirement is imposed is negligible. But it does exist, and smart players may want to know about it. For those who are out there playing on bonuses with wagering requirements in Internet casinos, here are the changes:
9 v. 2 = double (4 decks or fewer)
A7 v. 2 = double
A6 v. 2 = double
8 v. 6 = double down in a 2-deck game with a 5-3, but not with a 6-2
11 v. A = double down in a 2-deck game
Normal basic strategy with 9 v. 2 is to double down in 1 and 2-deck games only. With a wagering requirement, we should also double down in 4-deck games. In a 6-deck game with a wagering requirement, however, this double down would cost us an extra 21 cents on a $100 bet, so we only make the altered double down in a 4-deck game, unless we're looking for a cheap camo play in 6-deck.
Normal basic strategy with a total of 8 v. 6 is to double down in single-deck only. With a wagering requirement, we are correct to double down on 8 v. 6 in 2-deck games if our cards are 5-3, but not 6-2. With more than 2 decks, it is not correct to double down on 8 v. 6 with a wagering requirement.
Double down on 11 v. A in a 2-deck game. Normal basic strategy is to double down on 11 v. A in single-deck only, or in multi-deck if the dealer hits soft 17. In Theory of Blackjack, Griffin provided refinements to this rule, namely that if the player's 11 is a 6-5 or 7-4 (but not a 9-2 or 8-3), it is also correct to double down in 2-deck. With a wagering requirement, it is optimal to double down with 11 v. A with 6-5, 7-4, and 8-3, but 9-2 is still on the other side of borderline. With more than two decks, however, do not double down on this hand.
Comprehensive Wagering Requirement Online Blackjack Strategy
For Any Number of Decks
STAND
Stand | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | X | A |
|---|---|---|---|---|---|---|---|---|---|---|
17 | S | S | S | S | S | S | S | S | S | S |
16 | S | S | S | S | S | H | H | H | H1 | 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 |
A7 | S | S | S | S | S | S | S | H | H | S2 |
DOUBLE DOWN, HARD TOTALS
Double | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | X | A |
|---|---|---|---|---|---|---|---|---|---|---|
11 | D | D | D | D | D | D | D | D | D3 | D12 |
10 | D | D | D | D | D | D | D | D | H | H |
9 | D11 | D | D | D | H | H | H | H | H | |
8 | H | H | H | D5 | D13 | H | H | H | H | H |
DOUBLE DOWN, SOFT TOTALS
Soft Totals | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | T | A |
|---|---|---|---|---|---|---|---|---|---|---|
(A,9) | S | S | S | S | S | S | S | S | S | S |
(A,8) | S | S | S | S | D5 | S | S | S | S | S |
(A,7) | Ds | Ds | Ds | Ds | Ds | S | S | H | H | S2 |
(A,6) | D | D | D | D | D | H | H | H | H | H |
(A,5) | H | H | D | D | D | H | H | H | H | H |
(A,4) | H | H | D | D | D | H | H | H | H | H |
(A,3) | H | H | D5 | D | D | H | H | H | H | H |
(A,2) | H | H | D5 | D | D | H | H | H | H | H |
SURRENDER (LATE)
Late Surrender | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | X | A |
|---|---|---|---|---|---|---|---|---|---|---|
17 | ¢6 | |||||||||
16 | ¢7 | ¢ | ¢8 | |||||||
8-8 | ¢9 | |||||||||
15 | ¢10 | ¢6 | ||||||||
7-7 | ¢5 | ¢9 |
S = Stand, H = Hit, D = Double Down (if doubling not available, then hit), Ds = Double Down (if doubling not available, then stand),
¢ = Surrender
1 = Stand with 3 or More Cards
2 = Hit in Multi-Deck, or if Dealer Hits S17
3 = European No-Hole Hit
4 = S17 Multi-Deck or European No-Hole Hit
5 = Single-Deck Only
6 = With Hit Soft 17 Only
7 = Single Deck Hit
8 = Single Deck, X-6 Only
9 = With Hit Soft 17 in Multi-Deck
10 = Excluding 8,7
11 = 4 decks or fewer only
12 = Always double in H17 games. In S17 games, double in single and 2-deck games only.
13 = Double in single deck games. In 2-deck games, double on 5-3 but not 6-2. With more than 2 decks, do not double.
PAIR SPLITS
WITH DOUBLE AFTER SPLITS
Pairs | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | T | A |
|---|---|---|---|---|---|---|---|---|---|---|
(A,A) | Y | Y | Y | Y | Y | Y | Y | Y | Y | Y1 |
(T,T) | N | N | N | N | N | N | N | N | N | N |
(9,9) | Y | Y | Y | Y | Y | N | Y | Y | N | N |
(8,8) | Y | Y | Y | Y | Y | Y | Y | Y | Y1 | Y1 |
(7,7) | Y | Y | Y | Y | Y | Y | Y2 | N | N | N |
(6,6) | Y | Y | Y | Y | Y | Y2 | N | N | N | N |
(5,5) | N | N | N | N | N | N | N | N | N | N |
(4,4) | N | N | Y2 | Y | Y | N | N | N | N | N |
(3,3) | Y | Y | Y | Y | Y | Y | Y2 | N | N | N |
(2,2) | Y | Y | Y | Y | Y | Y | N | N | N | N |
PAIR SPLITS
NO DOUBLE AFTER SPLITS
Pairs | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | T | A |
|---|---|---|---|---|---|---|---|---|---|---|
(A,A) | Y | Y | Y | Y | Y | Y | Y | Y | Y | Y1 |
(T,T) | N | N | N | N | N | N | N | N | N | N |
(9,9) | Y | Y | Y | Y | Y | N | Y | Y | N | Y |
(8,8) | Y | Y | Y | Y | Y | Y | Y | Y | Y1 | Y1 |
(7,7) | Y | Y | Y | Y | Y | Y | N | N | N | N |
(6,6) | Y2 | Y | Y | Y | Y | N | N | N | N | N |
(5,5) | N | N | N | N | N | N | N | N | N | N |
(4,4) | N | N | N | N | N | N | N | N | N | N |
(3,3) | N | N | Y | Y | Y | Y | N | N | N | N |
(2,2) | N | Y2 | Y | Y | Y | Y | N | N | N | N |
INSURANCE: NO
There may be a few other violations of standard blackjack basic strategy that would bring you an extremely small extra return in particular games, based on the exact number of decks in play and the precise rule set, when you are playing to meet a wagering requirement, but they will not be worth much to players in dollars and cents.
Also, some players have questioned whether correct online blackjack basic strategy would change again in a situation where you have a win target, such as when you are playing on a sticky bonus. It turns out that the online blackjack strategy for win target situations with a wagering requirement is the same as the regular Wagering Requirement Online Blackjack Strategy. I will explain why in a separate Blackjack Forum article.
Again, the value of following a Wagering Requirement Online Blackjack Basic Strategy as opposed to a standard blackjack basic strategy where no wagering requirement is imposed is negligible. But it does exist, and smart players should know it. ♠
The Website Run By Professional Blackjack Players
Since 1981, Arnold Snyder's Blackjack Forum has been the leading trade journal for professional gamblers. Now the tradition continues online.
Blackjack Forum Online exists to help players make money gambling with an advantage. All the information provided here is free.
You will find there is a big difference between the kind of gambling advice you get from professional gamblers, and the kind of advice you get from 'experts' who make their money selling systems and books and don't risk their own money at the tables. We would like you to know that you really can make money from gambling, even make gambling your profession, if you choose.
If your main interest is relaxing and playing blackjack online then a great site is OnlineBlackjack.com. They have been following the trends in online play and provide reviews of the different popular real money blackjack games available. Live blackjack online has also rapidly become a favorite of both professionals and recreational players.
Win at Blackjack With or Without Card Counting
Players who want to know if they could become winning blackjack players should start with A First Year of Card Counting, a realistic and funny account of card counting as a part-time avocation.
Card-counting is not the only way to beat blackjack, but it's the first step toward the advanced strategies professional gamblers use to make a lot of money at the game.
Players who want to start learning how to win at blackjack should start with our Intro to Winning Blackjack. Once you've got a feel for the game and are ready to start practicing your playing strategy (though not card counting) online—we recommend checking out the online casinos at bestonlineblackjack.com.
If you are considering a career as a professional gambler, we suggest you start with our Blackjack Forum Professional Gambling Library, the largest source of honest professional blackjack, poker and online gambling information on the Web.
Inside you will find articles by Blackjack Hall of Fame members Arnold Snyder, Ken Uston, Stanford Wong, James Grosjean, Max Rubin, Peter Griffin, and Richard W. Munchkin, plus interviews with Tommy Hyland, Al Francesco, Keith Taft, Johnny C., manager of the MIT blackjack team, Darryl Purpose and other great blackjack players who have made gambling history.
There is even info on beating slots, roulette, lotteries and keno—in brick-and-mortar casinos and online—in our library.
| Intro to Winning Blackjack By Arnold Snyder |
| Blackjack Hype vs. Blackjack Reality |
| What Card Counting is Really Like |
| Do You Have What It Takes to Win? |
| Blackjack Card Counting--Why It Works |
| Learn Blackjack Basic Strategy |
| Easy Red 7 Card Counting System |
| Easier OPP Card Counting System |
| Free Card Counting Practice Software |
| The 'Best' Card Counting System |
Win Money Playing Blackjack and Other Games at Online Casinos
Yes, they pay. No, I'm not kidding. Some of the best blackjack and gambling opportunities available right now are in the online casinos.
If you are interested in playing blackjack or other games in online casinos, see the Blackjack Forum Win Online section, with our online blackjack strategy and all the how-to info you need to get started. No get-rich-quick baloney. Just the facts about how to win.
Free Blackjack Card Counting Systems and Software: The PowerSim Project
For free easy card counting systems, see our complete instructions for the Easy OPP Card Counting System (the easiest system ever developed) and the Easy Red 7 System (a slightly more difficult but also more powerful system).
For a simple but powerful professional-level card counting system (in fact, the count I use myself), see The Hi-Lo Lite.
ETFan has contributed his open source PowerSim blackjack and card counting simulation software.
PowerSim comes ready to run fast, powerful and accurate traditional blackjack and card counting simulations that provide the information you need for comparing games and card counting strategies,and calculating risk and bankroll requirements, optimal bets, advantage and win rate for a wide variety of blackjack games and rules sets.
The programmable PowerSim is also easily modified by players to run new types of simulations. This has led to simulations of the new and innovative OPP Count for beginning players.
Also free: Download free card counting practice software and Sam Case's blackjack card counting strategy index generator directly below. The strategy index generator produces strategy index numbers for any balanced card counting system. You put in the count values and true count method for any counting system you are researching, and the generator will tell you the true count at which to change your playing strategy. ♠
FREE Card Counting Practice Software
Download Free Card Counting Practice Software
Free Blackjack Card Counting Strategy Index Generator
Blackjack Strategy For Beginners
Download Free Program for Devising Playing Strategy Index Numbers for Any Balanced Blackjack Card Counting System
Free Programmable Blackjack & Card Counting Simulation Software
Poker Strategy Forum
To begin:
1. January 11, 2007 Release of PowerSim
2. Download Blackjack PowerSim & Instructions
Craps Strategy Forum
Free (Version 6, January 11, 2007 upgrade)
S = Stand, H = Hit, D = Double Down (if doubling not available, then hit), Ds = Double Down (if doubling not available, then stand),
¢ = Surrender
1 = Stand with 3 or More Cards
2 = Hit in Multi-Deck, or if Dealer Hits S17
3 = European No-Hole Hit
4 = S17 Multi-Deck or European No-Hole Hit
5 = Single-Deck Only
6 = With Hit Soft 17 Only
7 = Single Deck Hit
8 = Single Deck, X-6 Only
9 = With Hit Soft 17 in Multi-Deck
10 = Excluding 8,7
11 = 4 decks or fewer only
12 = Always double in H17 games. In S17 games, double in single and 2-deck games only.
13 = Double in single deck games. In 2-deck games, double on 5-3 but not 6-2. With more than 2 decks, do not double.
PAIR SPLITS
WITH DOUBLE AFTER SPLITS
Pairs | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | T | A |
|---|---|---|---|---|---|---|---|---|---|---|
(A,A) | Y | Y | Y | Y | Y | Y | Y | Y | Y | Y1 |
(T,T) | N | N | N | N | N | N | N | N | N | N |
(9,9) | Y | Y | Y | Y | Y | N | Y | Y | N | N |
(8,8) | Y | Y | Y | Y | Y | Y | Y | Y | Y1 | Y1 |
(7,7) | Y | Y | Y | Y | Y | Y | Y2 | N | N | N |
(6,6) | Y | Y | Y | Y | Y | Y2 | N | N | N | N |
(5,5) | N | N | N | N | N | N | N | N | N | N |
(4,4) | N | N | Y2 | Y | Y | N | N | N | N | N |
(3,3) | Y | Y | Y | Y | Y | Y | Y2 | N | N | N |
(2,2) | Y | Y | Y | Y | Y | Y | N | N | N | N |
PAIR SPLITS
NO DOUBLE AFTER SPLITS
Pairs | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | T | A |
|---|---|---|---|---|---|---|---|---|---|---|
(A,A) | Y | Y | Y | Y | Y | Y | Y | Y | Y | Y1 |
(T,T) | N | N | N | N | N | N | N | N | N | N |
(9,9) | Y | Y | Y | Y | Y | N | Y | Y | N | Y |
(8,8) | Y | Y | Y | Y | Y | Y | Y | Y | Y1 | Y1 |
(7,7) | Y | Y | Y | Y | Y | Y | N | N | N | N |
(6,6) | Y2 | Y | Y | Y | Y | N | N | N | N | N |
(5,5) | N | N | N | N | N | N | N | N | N | N |
(4,4) | N | N | N | N | N | N | N | N | N | N |
(3,3) | N | N | Y | Y | Y | Y | N | N | N | N |
(2,2) | N | Y2 | Y | Y | Y | Y | N | N | N | N |
INSURANCE: NO
There may be a few other violations of standard blackjack basic strategy that would bring you an extremely small extra return in particular games, based on the exact number of decks in play and the precise rule set, when you are playing to meet a wagering requirement, but they will not be worth much to players in dollars and cents.
Also, some players have questioned whether correct online blackjack basic strategy would change again in a situation where you have a win target, such as when you are playing on a sticky bonus. It turns out that the online blackjack strategy for win target situations with a wagering requirement is the same as the regular Wagering Requirement Online Blackjack Strategy. I will explain why in a separate Blackjack Forum article.
Again, the value of following a Wagering Requirement Online Blackjack Basic Strategy as opposed to a standard blackjack basic strategy where no wagering requirement is imposed is negligible. But it does exist, and smart players should know it. ♠
The Website Run By Professional Blackjack Players
Since 1981, Arnold Snyder's Blackjack Forum has been the leading trade journal for professional gamblers. Now the tradition continues online.
Blackjack Forum Online exists to help players make money gambling with an advantage. All the information provided here is free.
You will find there is a big difference between the kind of gambling advice you get from professional gamblers, and the kind of advice you get from 'experts' who make their money selling systems and books and don't risk their own money at the tables. We would like you to know that you really can make money from gambling, even make gambling your profession, if you choose.
If your main interest is relaxing and playing blackjack online then a great site is OnlineBlackjack.com. They have been following the trends in online play and provide reviews of the different popular real money blackjack games available. Live blackjack online has also rapidly become a favorite of both professionals and recreational players.
Win at Blackjack With or Without Card Counting
Players who want to know if they could become winning blackjack players should start with A First Year of Card Counting, a realistic and funny account of card counting as a part-time avocation.
Card-counting is not the only way to beat blackjack, but it's the first step toward the advanced strategies professional gamblers use to make a lot of money at the game.
Players who want to start learning how to win at blackjack should start with our Intro to Winning Blackjack. Once you've got a feel for the game and are ready to start practicing your playing strategy (though not card counting) online—we recommend checking out the online casinos at bestonlineblackjack.com.
If you are considering a career as a professional gambler, we suggest you start with our Blackjack Forum Professional Gambling Library, the largest source of honest professional blackjack, poker and online gambling information on the Web.
Inside you will find articles by Blackjack Hall of Fame members Arnold Snyder, Ken Uston, Stanford Wong, James Grosjean, Max Rubin, Peter Griffin, and Richard W. Munchkin, plus interviews with Tommy Hyland, Al Francesco, Keith Taft, Johnny C., manager of the MIT blackjack team, Darryl Purpose and other great blackjack players who have made gambling history.
There is even info on beating slots, roulette, lotteries and keno—in brick-and-mortar casinos and online—in our library.
| Intro to Winning Blackjack By Arnold Snyder |
| Blackjack Hype vs. Blackjack Reality |
| What Card Counting is Really Like |
| Do You Have What It Takes to Win? |
| Blackjack Card Counting--Why It Works |
| Learn Blackjack Basic Strategy |
| Easy Red 7 Card Counting System |
| Easier OPP Card Counting System |
| Free Card Counting Practice Software |
| The 'Best' Card Counting System |
Win Money Playing Blackjack and Other Games at Online Casinos
Yes, they pay. No, I'm not kidding. Some of the best blackjack and gambling opportunities available right now are in the online casinos.
If you are interested in playing blackjack or other games in online casinos, see the Blackjack Forum Win Online section, with our online blackjack strategy and all the how-to info you need to get started. No get-rich-quick baloney. Just the facts about how to win.
Free Blackjack Card Counting Systems and Software: The PowerSim Project
For free easy card counting systems, see our complete instructions for the Easy OPP Card Counting System (the easiest system ever developed) and the Easy Red 7 System (a slightly more difficult but also more powerful system).
For a simple but powerful professional-level card counting system (in fact, the count I use myself), see The Hi-Lo Lite.
ETFan has contributed his open source PowerSim blackjack and card counting simulation software.
PowerSim comes ready to run fast, powerful and accurate traditional blackjack and card counting simulations that provide the information you need for comparing games and card counting strategies,and calculating risk and bankroll requirements, optimal bets, advantage and win rate for a wide variety of blackjack games and rules sets.
The programmable PowerSim is also easily modified by players to run new types of simulations. This has led to simulations of the new and innovative OPP Count for beginning players.
Also free: Download free card counting practice software and Sam Case's blackjack card counting strategy index generator directly below. The strategy index generator produces strategy index numbers for any balanced card counting system. You put in the count values and true count method for any counting system you are researching, and the generator will tell you the true count at which to change your playing strategy. ♠
FREE Card Counting Practice Software
Download Free Card Counting Practice Software
Free Blackjack Card Counting Strategy Index Generator
Blackjack Strategy For Beginners
Download Free Program for Devising Playing Strategy Index Numbers for Any Balanced Blackjack Card Counting System
Free Programmable Blackjack & Card Counting Simulation Software
Poker Strategy Forum
To begin:
1. January 11, 2007 Release of PowerSim
2. Download Blackjack PowerSim & Instructions
Craps Strategy Forum
Free (Version 6, January 11, 2007 upgrade)
3. Install XBasic Free
Free Blackjack Strategy Trainer
(For detailed instructions, see the
Instructions.doc in the Blackjack Power Sim
download)
4. Download XBasic Documentation Free
Announcing the Release of PowerSim Open Source Blackjack & Card Counting Simulation Software
by ET Fan
The Blackjack Power Sim Project:
The Importance of Free Programmable
Blackjack Simulation Software for Serious Players
by Arnold Snyder
PowerSim: No Compromise on Accuracy
by ET Fan
Blackjack Strategy Chart
Blackjack Strategy Forum Yahoo
Quick Links:
Blackjack and Betting Systems: Is Oscar's System a Winner?
The First Card Counters:
Edward O. Thorp's 1962 Blackjack Card Counting Trip
Interview With Blackjack Hall of Fame Player Ken Uston
The Blackjack Hall of Fame
Online Poker Hell - Playing Multi-Table Online Poker
