🖐 Wizard of Odds Interviews Blackjack Legend Stanford Wong - Online Blackjack

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The table below shows optimal strategy decisions for double attack blackjack. This table is based on Wizard of Odds' analysis of Double Attack Blackjack, using ...


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DOUBLE ATTACK BLACKJACK Introduction Double Attack Blackjack is a blackjack variation offered at and casinos.
I find the game to be more interesting and enjoyable thanalthough game play can be slow.
check this out that other Wagerworks blackjack variations have a lower house edge and lower variance.
Rules and Play Traditional blackjack rules are used, with the following modifications: -8 decks of 48 cards are used.
Variations Land-based Wizard odds blackjack strategy Attack blackjack games typically allow resplits to 3-4 hands.
Playtech follows standard land-based rules and allows resplits to 4 hands.
However, Wagerworks does not permit resplits.
Wagerworks double attack blackjack also has non-standard insurance rules.
Insurance pays 3:1 instead of 2.
Strategy Take the option to double your bet "double attack" when the dealer shows an upcard of 2-8.
Do not double your bet when the dealer shows 9-A.
Under Wagerworks rules, https://clearadultskin.com/blackjack/majestic-star-blackjack.html pays 3:1, making insurance slightly favorable unlike traditional blackjack.
Buy insurance unless 10-cards J-K are visible.
The Wagerworks rule changes influence insurance decisions, but I wizard odds blackjack strategy other strategy decisions are the same as land-based double attack rules.
continue reading table below shows optimal strategy decisions for double attack blackjack.
This table is based on Wizard of Odds' analysis of Double Attack Blackjack, using land-based rules.
I have confirmed some of the more unique strategy decisions, such as surrendering on only 17 vs A except after doubles.
I estimate the house edge defined per initial bet of Wagerworks to be 0.
The average bet size is 1.
The latter value wizard odds blackjack strategy 0.
The large difference between house edge per initial bet and per unit wagered relates to the many raises for "double attacks.
The latter value of 1.
Note that the variance is much higher than standard blackjack.
See the for estimating range of return for a specific bonus.

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The table below shows optimal strategy decisions for double attack blackjack. This table is based on Wizard of Odds' analysis of Double Attack Blackjack, using ...


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As the owner of the The Wizard of Odds website, the former actuary and. at blackjack (on his website he offers strategies for many blackjack ...


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Blackjack players in Pennsylvania should enjoy a good game while they can, says the gambling statistician known as the Wizard of Odds.
As the Gaming Control Board considered rules this spring, industry representatives asked for the option of 6-to-5 payouts and hitting on soft 17.
He declined comment this week about potential changes.
Shackleford predicted casinos will press for the option of hitting soft 17 and paying 6-to-5 on naturals.
Those two rules have the greatest impact on house advantage in six- and eight-deck games.
Anthony Curtis, a former pro player who now is publisher of Huntington Press andsaid in July that payouts frequently get tighter after casinos have been open a while.
Curtis predicted secrets to single deck blackjack change to the dealer hitting soft 17.
Shackleford said introducing a 6-to-5 payout would increase the house edge on those games by about 1.
Six- and eight-deck games that click soft 17 and pay 6-to-5 on blackjacks have a house edge of 1.
The industry will argue that the state could reap millions more in tax revenue, Shackleford said.
Of course, the casinos would rake in even more, and players would be left holding the bag.
Shackleford is a professional actuary who worked with the Social Security Administration in Baltimore as a claims adjuster and eventually was responsible for calculating the wizard odds blackjack strategy and benefits of proposed changes in Social Security law.
As a hobby, he started a website devoted to gambling odds.
It became so popular that drum set left his Social Security job in 2000 to work full time on the website and as a gaming consultant.
He helped design many slot machines for Internet casinos.
It has rules, strategies and odds for more than 100 games, from blackjack and craps to Internet casino versions of War and Rock, Paper, Scissors.
However, he said players lose the most money per hour at slot machines.
In general, he wizard odds blackjack strategy, players should avoid simple games such as slots and instead learn the strategies for games such as blackjack and video poker.
Get a good book or go to a good Web site, like mine, and learn how to play properly.
One word means a lot.
A bet that pays 2- to -1 gives you two chips for each one you bet.
If you bet one chip https://clearadultskin.com/blackjack/how-much-are-face-cards-in-blackjack.html win, you end up with three — the two you won plus your original bet.
On a 2- for -1 payout, the two-chip total includes your original bet.
The listing says all source will be donated to the U.
Now 24, he said earlier this year that he was retiring from poker.
The statewide slot machine payout has been 90.
Payout since July: 90.
Payout since July: 90.
Payout since July: 90.
Our goal is to provide substantive commentary for a general readership.
By screening submissions, we provide a space where readers can share intelligent and informed commentary that enhances the quality of our news and information.
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Feb 28, 2015 at 1:14PM With the rapid expansion of land-based casino gaming across the U.
And with the great advancements in gambling knowledge and game strategy over this time period, more gamblers — millennials in particular — are more sophisticated and more knowledgeable about gambling than at any point in the history of mankind.
The casino is losing its mystique, and the product of gambling is maturing.
As a consequence, the tastes of the modern gambler are changing, such that there is an increasing demand for gaming activity that is more social in nature, and an increasing demand for gaming activity at least partially based on skill.
But what does that really mean for the next wave of casino games?
Basing payouts on Pong The first and most prominent interpretation of this trend thus far has been to wizard odds blackjack strategy video tournament palm springs games designed to appeal to a video game generation.
About a decade ago at the 2004 Global Gaming Expo G2EBally Technologies acquired by Scientific Games Corporation last year introduced a slot game based on Pong, the landmark Atari game released in 1972.
Bally's slot adaptation — by Nevada gaming regulators in 2007 — included a bonus feature in which the player would play a 45-second round of Pong, and the player's performance affected the payout; https://clearadultskin.com/blackjack/blackjack-casino-on-facebook.html difference in expectation between the best player and the worst player in this bonus feature was 7 percent.
Other companies have followed suit, with games such as IGT's Centipede and GTECH's Zuma offering skill-based bonus features.
More recently, in October 2014, the New Jersey Division of Gaming Enforcement that it was wizard odds blackjack strategy authorized to approve" and "eager to receive" skill-based game submissions for review under its New Jersey First program.
New Jersey First was designed to encourage the development of casino games in New Jersey combining both the social and skill-based elements found in games like Candy Crush and Words with Friends by allowing games with such features to be fast-tracked to the casino floor within 14 days of approval, provided that the game is "submitted to New Jersey prior to or simultaneously with any other jurisdiction or testing lab.
Oddly, completely absent from the discussion about the demand for social and skill-based games is the area of the casino floor that historically has been both the most social and most demanding of skill.
That area is the table games pit.
Let's start by first talking about the state of blackjack, the most popular casino skill game of them all.
The rise and slow death of blackjack Ever since Ed Thorp introduced the first card counting system in 1962 in his book Beat the Dealer, blackjack has led the way as the game of choice for intelligent gamblers in the table games pit.
For reference, in 1985, blackjack for 81% of table games units and over half of table games revenue in the state of Nevada.
Part of the reason for blackjack's popularity was the fact that some gamblers like to make decisions and have some level of control over the outcome.
But the chief reason for blackjack's exceptional https://clearadultskin.com/blackjack/213-blackjack.html was the idea that the game was beatable, and the idea that blackjack represented a fair game.
The fact is that most people who play blackjack don't even play perfect basic strategy; moreover, relatively few people know how to count cards, and even fewer among them can do it proficiently enough to beat the game.
But the idea that a gambler can walk into a casino and beat a game that's wizard odds blackjack strategy intended to be beatable — and in a place in which the player is not supposed to win — is a romantic one, and has been strong enough to power the brand of blackjack for the past five decades.
And even setting card counting aside, blackjack has indeed represented the fairest gamble in the house, with house advantages under perfect basic strategy generally in the 0.
The result is that in the history of legalized and regulated gambling in the United States, blackjack has been the game click at this page smart people play.
But all of that is changing.
Over the past decade, casinos have taken the most extreme steps to eliminate risk from card counters in particular, as there is no fundamental reason why the casino is obligated to offer a mathematically beatable game.
The first big trend was the increasingly widespread use of continuous shuffling machines CSMswhich speeds up the game but also eliminates card counting.
Another more recent trend is that some casino operators have moved to make a more drastic step of paying 6:5 on blackjack not only on single-deck alternatives, but also on two-deck and multideck shoe games; paying 6:5 rather than 3:2 adds 1.
What's happened in the process is that the casinos are gradually and probably unintentionally eliminating any incentive to learn a complex basic strategy for a game that not only is no longer beatable, but in an increasing number of this web page does not even offer a more favorable house advantage than can be found in games requiring no skill whatsoever.
By way of comparison, the Banker bet in baccarat offers a 1.
And for the most part, the modern gambler has begun to move on from blackjack.
At its peak in 2000, there were 3,682 blackjack units in the state of Nevada, representing 64.
Note that the decline as a percent of all table games revenue in the table below is largely a function of the spectacular rise in predominantly high stakes baccarat play on the Las Vegas Strip over this time period.
Nevada: Blackjack table count and revenue Year Units % of Units Revenue % of Revenue 1985 3,049 80.
These games are typically protected by patents and trademarks Pai Gow is a notable exception, though several modified variations of Pai Gow are patentedand are generally leased to casinos.
This is an area that has long been dominated by SHFL Entertainment now part of Scientific Games as a result of SHFL's merger with Bally Technologies in 2013, and Bally's subsequent acquisition by Scientific Games in 2014.
In 1985, non-traditional games represented 2.
Nevada: Non-traditional games Year Units % wizard odds blackjack strategy Units Revenue % of Revenue 1985 85 2.
The next question is how well these new games satisfy the demand for skill games.
Let's establish two https://clearadultskin.com/blackjack/when-was-blackjack-invented.html baseline ideas: 1.
If a game is going to require any skill whatsoever, the game should have a lower house advantage than that being offered by games with bets requiring zero skill.
The more skill a game requires, the lower the house advantage wizard odds blackjack strategy be.
Requiring skill in a game is pointless if it means reducing the house advantage from 15% to 5%, as a gambler can always find better bets; rather, there must be an incentive for the player to acquire the skills to play a game the player knows is designed to beat him.
The best example of this is blackjack, a game which has incentivized gamblers to learn a relatively complex basic strategy by a historically being beatable and b by offering a lower achievable house advantage under basic strategy than other games like craps and baccarat.
The second point is a natural extension of the first.
The more decisions a player has to make, the more mistakes the player will make, and the less likely it is that the player will achieve the theoretically optimal house advantage.
This leads to player value risk, or the risk that the player is losing more money faster than he should be.
This needs to be compensated for with https://clearadultskin.com/blackjack/blackjack-tips-youtube.html lower theoretical house advantage.
In finance and investing, we have a theoretical risk-free rate of return, which serves as a benchmark against which all decisions are made.
In casino gambling, we have what I'll call the skill-free rate, which serves as a benchmark house advantage against which games requiring skill should be compared.
At a minimum, the adjusted house advantage better known as "element of risk," which I'll explain in a minute for a game requiring skill should be lower than the 1.
These are typically the lowest house advantages offered by the casino without requiring any decision-making or skill.
As the lowest number, the Banker bet in baccarat represents the skill-free rate.
Entry-level games such as Three Card Poker SHFLGalaxy Gaming's High Card Flush, and Crazy 4 Poker SHFL have optimal strategies that can be expressed in as little as one or two rules.
In Three Card Poker, the player starts with an initial ante wager and is dealt three cards; optimal strategy is to bet with Q-6-4 or better, which is all you need to know to get to the house advantage of 3.
In High Card Flush, the player antes and is dealt seven cards; according tothe correct strategy is to bet the maximum allowed when dealt four or more cards of the same suit, or a three-card flush of J-9-6 or higher 9-7-5 to J-9-5 are borderlinewhich will get close to the house advantage of 2.
In Crazy 4 Poker, the player starts with two initial wagers an Ante and equal Super Bonus wagerand is dealt five down cards; the perfectly optimal strategy is to bet the maximum 3x the Ante with a pair of aces or better, and bet the minimum 1x with K-Q-8-4-x or better the best four-card hand plays.
These games are strategically simple by design, and are intended to serve as lowest common denominators.
The advantage of these games is that virtually anybody can play these games perfectly or near-perfectly in the case of High Card Flusheven if very few people who play these games wizard odds blackjack strategy to actually know the strategies for them.
But at the same time, the limitation of these games is that they satisfy the demand for skill games only on the most cursory level.
But how well are players being incentivized to learn more complicated strategies?
The classic smash hit Caribbean Stud SHFL requires for effectively perfect play, to approximate the theoretical house advantage of 5.
Even adjusting for an average bet of 2.
This in large part explains why Caribbean Stud is in decline, particularly when compared to other new alternatives.
Bet Per Hand Units Four Card Poker SHFL has a theoretically optimal house advantage of 2.
At an average of 2.
Easily the two most advanced proprietary games with wide circulation at present are Mississippi Stud SHFL and Ultimate Texas Hold'em SHFL.
Mississippi Stud is a game that features a currently unique combination of scalable betting the player can bet 1x-3x the ante on three successive betting rounds, for a total of up to 10 units wagered in a single hand and scalable payoffs all wagers pay according to a pay table, resulting in some potentially large payouts.
However, the game requires 23 strategy rules to be played optimally, which gets the player to a house advantage of 4.
Ultimate Texas Hold'em is by far the most attractive of please click for source games, with a theoretical house advantage of 2.
This house advantage is not practically achievable — Stephen How of Discount Gambling presents with 23 categories of rules that get the player to 2.
Michael Blackjack party decorations aka the Wizard of Odds presents a with 13 rules six if you are an expert poker player and can count 33+, Ax, K2s+, K5o+, Q6s+, Q8o+, J8s+, JT as one ruleone of which is bet the river with "less than 21 dealer outs beat you"; that strategy gets to 2.
On a per unit basis, this puts Ultimate Texas Hold'em roughly in the same range as blackjack.
Proprietary games: Skill requirement and adj.
Bet Per Hand Adj.
That may be true, but it's also a copout.
The simple fact is that even as gamblers continue to get smarter and smarter, there are fewer and fewer games for intelligent gamblers to play.
Card counting in blackjack is being systematically eliminated.
This is completely understandable, in the context that there's no fundamental obligation for the casino to offer a mathematically beatable game.
But as noted earlier, with the increasing adoption of 6:5 blackjack with an additional 1.
And thusly, blackjack is dying a slow death.
Meanwhile, the new proprietary table games are not filling the void left by countable blackjack, and are not meeting the demand for skill games.
Many of the most popular games currently on the market such as Three Card Poker, High Card Flush, and Crazy 4 Poker are extremely simplistic by design.
And aside from perhaps Ultimate Texas Hold'em with an adj.
The point is, if casino operators are serious about marketing to a more sophisticated generation of gamblers — millennials — there's clearly room to offer games with both higher skill components and lower house advantages to compensate.
Jeff is also blackjack werte best-selling author of Pot-Limit Omaha Poker: The Big Play Strategy and the three-volume Advanced PLO series.
Jeff owns shares of MGM Resorts International.
The Motley Fool has no position in any of the stocks mentioned.
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Easy-to-Memorize Blackjack Basic Strategy Chart PDF Choose a To head blackjack Strategy for Simplicity and Accuracy In a blackjack game, the "basic strategy" is the set of actions that give you the best possible return, based on your total and the dealer's visible "up wizard odds blackjack strategy />Many of the correct decisions tend to fall into regular patterns, but others seem to have no rhyme or reason.
Fortunately, you can use a "simplified" strategy that sacrifices some less-important playing decisions to get easier-to-remember patterns.
Here are Super-Easy, Simple, and Great simplified strategies that are easier to learn, but almost as good, as the perfect basic strategy.
The following table can help you decide which strategy to learn.
If you're not sure, start with the Super-Easy strategy first, and after you master it, advance down the list.
Please note that you can easily win or lose much more than the "typical" amount in one session or multiple sessions.
Risk only what you can afford.
The following table compares the simplified strategies with the perfect basic strategy.
The amount is shown as a sum of two figures: the built-in loss using the perfect basic strategy plus the additional loss due to incorrect decisions in the simplified strategy.
Please note that this is a long-term average, not the likely result of session!
Risk only what you can afford.
This is expressed as a percentage of your original bets, not counting additional money wagered on split hands and double-downs.
The figures in the table are based on typical Las Vegas playing rules: six decks, dealer hits soft 17, doubling allowed on any two cards, no surrender, and blackjack pays 3:2.
The varies with the playing rules in effect.
Warning: Beware of 6:5 Blackjack Payoff Games!
Many casinos offer games that pay only 6:5 instead of 3:2 on blackjack.
Even the best 6:5 games are worse than the worst 3:2 games.
If you see a sign on the table that says "Blackjack Pays 6:5," keep walking and find another table.
Oddly enough, you can almost 256 blackjack boats find a 3:2 game nearby.
If all customers refuse to play 6:5 games, casinos will quickly go back to offering only full-payout games.
Super-Easy Basic Strategy The basic strategy is for anyone who would like to try playing blackjack for fun, for a few hours or a weekend at low stakes, without spending a lot of time studying and memorizing.
It's also a good strategy that serious players can give to their non-serious companions to use.
Using this strategy, the effective is typically about 1%, so if you're playing 100 hands per session, you can expect to lose about one hand per session in the long run.
Even though the strategy is highly simplified, the house edge is still better than almost all other bets in the casino, including the Player bet at baccarat 1.
Average blackjack players make a lot more incorrect decisions than the Super-Easy Casual strategy, so they typically play with an effective house edge of somewhere between 1 and 2 percent.
The most common errors are hitting a "stiff" bustable hand vs.
You can avoid these common mistakes by following the Super-Easy strategy.
Simple Basic Strategy The strategy is wizard odds blackjack strategy for typical blackjack players.
Compared with the Super-Easy Casual strategy, the Simple strategy is slightly more difficult to memorize but reduces the effective house edge by about click to see more of a bet per session.
The Wizard's chart is more compact, but I think you'll find it easier to read and memorize the strategy here at BlackjackCalculation.
The two simple strategies have slightly different strategy decisions and about the same simplification penalty.
A video introduction to this website's Simple strategy is available on.
Great Basic Strategy The basic strategy is recommended for serious players playing for long hours and high stakes.
Compared with the Simple strategy, the Great strategy is wizard odds blackjack strategy difficult to memorize but reduces the effective house edge by another one-tenth of a hand per session.
Use this strategy if you are playing for very long hours and high stakes, to get the best possible edge.
The exact playing decisions and house edge depend on the playing rules in effect at the table.
To generate a strategy chart, go to the Wizard of Odds.
Use the pull-down menus to specify the playing conditions: number of decks, whether the dealer stands or hits soft 17 the latter is more commonwhether doubling is allowed after splitting a pair, whether surrender is allowed, and whether the dealer peeks for blackjack almost universal in the US.
The strategy chart is automatically updated as you set the rules.
Note: The Wizard uses a different coloring scheme for the strategy decisions.
Also, he combines the splitting and doubling decisions with the hit and stand decisions in the same block, which is the usual way this web page showing strategy tables.
However, I think it's easier to memorize the splitting and doubling decisions separately from the others, so that's how I've built my strategy tables.
To find out the house edge for a given set of rules, go to the Wizard of Odds.
Use the buttons to specify the playing rules, and the "Realistic results" field is automatically updated to show the house edge.
Card Counting Should you learn card counting?
For the vast majority of gamblers, the answer is no.
From watching movies like "Rain Man" and "21," you might think that card counting is an easy road to riches.
The truth is that card counting changes your slight disadvantage to only a tiny slight advantage.
To win, you must risk huge amounts for only a small gain.
For any gambling trip lasting a few days or less, wizard odds blackjack strategy is the overriding factor that determines whether you win or lose, and by how much.
Whether you use a good basic strategy -0.
I recommend card counting only if you're playing a lot or for large stakes and you can handle, both financially and emotionally, the long and large losing streaks that are bound to occur from time to time.
You will definitely lose money on some gambling trips, card counting or not.
Learning card counting does not require unusual intelligence or ability, but takes many months of dedicated practice to master the skills.
If you decide to learn card counting, the very first step is to learn at least the basic strategy or preferably the basic strategy, forward and backward, so you can recall every decision automatically without hesitation or delay.
Spend at least a few gambling wizard odds blackjack strategy using only the basic strategy in the casino before you even start to learn card counting.
It may take some dedication, practice, and time to build your experience up to a level where you feel comfortable enough to take it to the next stage.
Advanced card counting strategies like Omega II and Wong Halves are abundant online and can be found on sites like.
For more about card counting, see Does Card Counting Really Work?
Aside from 6:5 games, the house edge for perfect basic strategy play is usually between 0.
If you play for significant amounts of money, it makes sense to seek out the games with the lowest house edge.
If you're gambling in Las Vegas, go to the "Wizard of Vegas".
Edge" heading at the top of the right-most column to list all the casino games in order of increasing house edge.
You'll notice that most of the games with the smallest house https://clearadultskin.com/blackjack/slots-online-bet-blackjack.html around 0.
If you're gambling elsewhere in the US, go to the website.
The newsletter shows the specific table rules, minimum and maximum bet sizes, house edge, and other playing conditions for almost all casinos in the US that deal blackjack.
To take full advantage of the better games, you need to learn the strategy decisions for the specific rules.
For example, if the surrender option here allowed, it reduces the house edge by 0.
For a good introduction to the game of blackjack, go to the.
For a very good and free online book on blackjack, seeby Norman Wattenberger.
Wizard of Vegas forum discussion on Good luck playing a simplified basic strategy!
Gambling Videos Blackjack Basic Strategy and House Edge Calculation Spreadsheet This video is a supplement to andtwo videos by the Wizard of Odds, Michael Shackleford.
The Wizard calculates the complete blackjack basic strategy and house edge, knives classic model 125 from a blank Excel spreadsheet, without using computer programming.
He completes these tasks in less than one hour, explaining step-by-step how to fill in.
If you have trouble believing some of the playing decisions of the basic strategy, or if you're a skeptical type who doesn't accept things on faith, this spreadsheet provides proof that the basic strategy is truly correct.
You can modify the spreadsheet for different playing rules and examine the effects on the strategy and house edge.
Watch the Wizard's videos first.
He does a fine job of explaining how he creates the spreadsheet.
If you understand him completely, you have no need for my video.
On wizard odds blackjack strategy other hand, if you reach a point where you can't follow his explanation, pause it at that point and take a look at my video here, and see if that helps.
After that, you can go back to the Wizard's video and pick up where you left off.
In my video, I cover the following topics: Overview starts at 0:00 Introduction to the spreadsheet starts at 3:45 Modify the spreadsheet for no surrender allowed starts at 5:55 Modify the spreadsheet for dealer hits soft 17 starts at 9:50 Modify the spreadsheet for 6:5 blackjack payoff starts at 14:20 Terminology: infinite decks starts at 17:00 Terminology: European hole card rule starts at 18:35 Magic formula that fills a whole table starts at 20:30 The Wizard's spreadsheet file consists of several worksheet tabs.
Clicking a tab displays the sheet for that tab.
Each sheet covers one aspect of the blackjack strategy analysis, summarized as follows: dealer: This sheet shows the https://clearadultskin.com/blackjack/blackjack-training-software-free.html of each possible final outcome 17 through 21 or bustgiven the dealer's current total.
The lower part shows the probabilities when the dealer doesn't check the hole card European hole card wizard odds blackjack strategy />The upper part is modified to exclude the possibility of a dealer blackjack, since the dealer checks for blackjack at the beginning of the round in American games.
The color-coded charts on the right calculate and display the results graphically, giving the familiar hit-stand tables that you see in all good blackjack books.
To analyze a game in which doubling is allowed only on a player total of 10 or 11, set the expected return of doubling to -1.
A return of -1.
Again, the color-coded charts on the right calculate and display the results graphically.
To modify the spreadsheet for a game that doesn't allow surrender, you can simply change all the -0.
Again, the color-coded charts on the right calculate and display the results graphically.
The color-coded chart at the bottom displays the results graphically.
This completes the calculation of the full basic strategy.
This information is needed to calculate the total expected value house edge.
The total expected value is the sum of all the individual expected values.
After accounting for the probability of a dealer blackjack, the "grand total" return is reported as -0.
To develop the Super-Easy, Simple, and Great simplified strategies, I modified the spreadsheet with simplification decisions and examined the effects on the total return.
For example, an obvious simplification is standing on 12 vs.
To analyze the effect of this change in the strategy, go to the hit sheet wizard odds blackjack strategy set the cost of hitting to -1 enter -1 into cells B10 and C10.
This tells the spreadsheet that hitting 12 vs.
These two incorrect decisions lower the total return from -0.
This accounts for about half of the difference between the Simple strategy which uses this simplification and Great strategy which does not.
For a good introduction to blackjack, go to the For a very good online book on blackjack, see remarkable, casino de montreal blackjack, by Norman Wattenberger For a detailed technical look at the game, see Wattenberger's To simulate gambling results yourself, see video ©2014-2017 G Chang, BlackjackCalculation.
Note: All statistics are approximate due to varying rules and playing conditions.

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Either the wizard's math is wrong, or I'm making a mistake somewhere in calculating this: Basic strategy for a game with the 6 card charlie rule ...


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'Wizard of Odds' Uses Math To Beat the Casinos | Live Science
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Blackjack Tournaments | The Ultimate Blackjack Strategy Guide
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[[The 1-2-4 Blackjack Betting System]] 10% Session Wins + Advanced Basic Strategy

B6655644
Bonus:
Free Spins
Players:
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WR:
60 xB
Max cash out:
$ 500

Rules of the game of Blackjack can vary from casino to casino or even table to table within the casino.... Mike Shackelford, Wizard of Odds.com. The Optimal ...


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Blackjack Strategy - Wizard of Odds
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Michael Shackleford Is the ‘Wizard of Odds’ – Observer
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