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It offers a comparison of optimal play blackjack returns at various live casinos.. a player for having counted their way to a massive win at the blackjack table.

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His work in the field has spanned almost four decades.

He is the author of the book Blackjack Attack - Playing the Pros' Way, currently in its blackjack count comparison edition, which is considered one of the most sophisticated theoretical and practical studies of the game to date.

Schlesinger was born in blackjack count comparison graduated from the CCNY with a B.

In addition, he holds M.

Don began his professional life teaching mathematics and French in the New York City school system.

In 1984, he changed professions and, until 1998, was a principal executive director at a Wall Street.

Since his retirement from the finance industry, he has devoted even more time to blackjack, in a researching, writing, teaching, and playing capacity.

His contributions to the game include research into optimal betting, https://pink-stuf.com/blackjack/vb-net-blackjack-code.html analysis, optimalFloating Advantage, camouflage and team play, and systems comparison.

In addition, he has contributed to many different issues of the aficionado magazine.

Spur of the Moment Publishing.

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Learn how to count cards in blackjack using the popular Zen count.. a lot of tens and aces in it as compared to lower cards is more favorable toward the player.

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Therefore, when the higher-count method tells you that you have an advantage, it's more likely to be accurate. So, *when you place your big bets*, you're more likely to be placing them at a point when you have an advantage. In other words, big-bet losses are less likely with a higher count system.

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The main principle of blackjack card counting is to determine the likelihood whether. a simplified one in comparison to the rest of the card counting variations.

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Orders for Golden Touch Blackjack Revolution DVD being accepted now.

SCORE Analysis of Speed Count In a recent issue of Blackjack Insider, we provided a public comparison of the performance of Speed Count to the High-Low count system see.

In the article, we used a "layman's" approach to comparing Speed Count to High-Low that would make sense for average players not versed in the latest advanced blackjack mathematics such as SCORE, playing efficiency, betting efficiency, etc.

Our goal has been, and will always be, to help blackjack players become advantage players.

As such, we chose a comparison method that could be explained and understood simply by all, which happens to be the same method applied by Vancura and Fuchs in Appendix III of their popular book, Knock- Out Blackjack.

This article is intended to provide a complete SCORE analysis of Speed Count which corroborates our prior analysis, and hopefully dispels the allegation that we avoided SCORE to provide a falsely improved analysis of Speed Count.

Comparing blackjack systems… an intuitive approach Ultimately, what makes one blackjack count system better than another is which one earns you more money per hour, with the same play environment.

But, players must also consider the risk that a particular count system's hourly win rate provides.

If one system makes you twice as much money, but has 10 times the bankroll risk, then you are not making a fair or useful comparison.

In our study, we took Speed Count and High-Low, and modified the bet spreads to cause the risk to be the similar.

Then, we compared the resultant hourly win rates in the modified systems to get a fair comparison.

How did we get the risks similar?

By making sure that the standard deviation and average bet sizes were similar, which are for this approach the only variables that determine risk.

By doing this, we compared the two count systems without any bias.

SCOREs… another approach Experts familiar with some books and articles on the mathematics of blackjack may know about another approach to comparing count systems: SCORE.

SCORE stands for " phrase " Standardized Comparison Of Risk and Expectation", and was coined by Mr Schlesinger in his book "Blackjack Attack".

Some players, regardless of whether they understand the mathematics and background underlying SCORE, treat it as the only possible measure of a game's performance value.

So, let's do a SCORE analysis of Speed Count.

But first, since we want source make sure average players learn and improve their game, let's look into SCORE a bit click the following article to understand it.

Now what does this all mean?

It turns out, that the SCORE is quite simple to compute.

Let's start with the formula for lifetime risk of ruin: The variables are as follows: r: The percentage risk of ruin between 0 and blackjack optimal basic strategy trainer where 1 is 1005 risk of losing your bankroll and 0 represents 0% risk of losing your bankroll E: The earning rate per round in bet units : The bankroll in bet units : The standard deviation per round in bet units Let's try and make sense of this for those of you who become weak when confronted with math… Basically, all count systems can be simulated using a reliable blackjack software program.

Two important pieces of information thjat you obtain when you do a simualtion are the win rate Eand the standard deviation.

The standard deviation is a measure of the variability of profit or loss from round to round.

The greater the standard deviation, the greater the risk.

The win rate is how much you win or lose on average per round.

Most count systems try to strike a balance between building blackjack bankroll the win rate while minimizing the risk.

By definition, The SCORE assumes a fixed bankroll and risk of ruin percentage.

For a given count system, the win rate and standard deviation are constant.

The only variable left to change is the unit bet size.

The equation above was independent of the unit bet size, since all the variables were in bet units.

But SCORE is based on real dollars, so we can add the variable K to the equation as shown below, and plug in all the values we know from the SCORE definition: Solving for K the optimal unit bet size that results in a 13.

SCORE is jus the hourly win rate https://pink-stuf.com/blackjack/blackjack-dealer-rules-tie.html the game conditions, which is the unit bet size, times the expectation, times 100 for 100 hands per hour: Hence, the SCORE is simply proportional to the win rate divided by the standard deviation often called the desirability indexsquared.

SCORE Analysis of Speed Count We can see that the score depends solely on the win rate and standard deviation, metrics that we have already provided for Speed Count in our prior article analysis.

So, let's start with our prior article data, and expand.

SCORE 1 Speed Count SC - Regular 0.

In our comparison method as per the published article, the difference was 70.

Full details on the bet spread and other High-Low system aspects are available in the prior article linked above.

For example, we did not include High-Low indices in the above comparison, since Speed Count does not use them.

Regardless, the SCOREs compare reasonably.

On to our double deck analysis… Optimal bet spreads Before we compare the double deck games as per our article with SCORE, we need to address another criticism raised: that we did not use an optimal bet spread in our comparison, since our method meant 'fudging' the bet ramp but not the bet range, which was kept the same.

To address this point, we need to explain a few more mathematical aspects of blackjack for our novice readers… All card counting systems that actually work, whether they are balanced like High-Low or unbalanced like Knock-Out, have a bet pivot point.

This is a value for the tracking metric under which the professional blackjack analyzer software system is saying the casino has the statistical advantage, and over which the player has the advantage.

The simplicity of card counting is that all functional count systems simply have you bet more above the pivot, and less below it.

Simulations and math have shown that this solid foundation of card counting is valid and correct: either the house or the player has the edge depending on the distribution of cards remaining in the shoe or pack, and count system to varying degrees attempt to measure this advantage, and bet accordingly.

The ideal bet pivot value is highly dependent on the count system, and may also vary with the game, rules, bet spread, and other factors.

Again, our analysis was intended to be understandable by novice players.

We did not want to confuse the issue with bet spreads that were not reasonable or attainable in practice.

The table above is based roughly on the spreads published in Wong's Professional Blackjack pg.

The table above implies a bet pivot at a true count of one for the six deck game, and zero for the double deck game.

But blackjack count comparison these in fact the correct bet pivots for High-Low?

We will not be maximizing our advantage if we increase our bet below the bet pivot.

Interestingly, it turns out, the actual best bet pivot for High-Low is between zero and one for the double deck game, raising the question of whether betting 2 units 'off the top' is in fact best.

Novice players often see this problem, since they know you don't have an advantage at the start of a shoe or pack, yet the above bet spread calls for betting two units.

The problem is that High-Low requires division and rounding or truncation to determine the true count, since calculating the exact true count in a casino in your head is not practical.

So, unless you are a human calculator, you have to choose either zero or one as the bet pivot and use this as the true count at which you increase from your minimum bet.

We ran simulations in the double deck game with High-Low no play indices and a bet spread that jumps to two units at a true count of one instead of zeroand it does turn out blackjack count comparison perform better and generate a higher SCORE.

SCORE 1 Speed Count SC - Regular 0.

But, we agree that this puts High-Low in an unfair light, and it blackjack como jugar bien more proper to compare rows 1 and 3, which is a difference of 77.

So the SCORE face down blackjack Speed Count is 63% to 77% as effective as High-Low without play indices for these common games.

Our comparison method yielded 70% to 77.

The latter figure is new, since we used a modified Speed Count to match the improved High-Low using the basic 2 to 4 spread starting at a true count of one.

Now, even with the improved bet spread using a High-Low bet pivot at a blackjack count comparison count of one, critics may argue that a further improved optimal bet spread is possible, by shuffling the ramp around above the pivot.

Again, our comparison tries to use the KISS keep it simple stupid approach, and follow the obvious reasoning that using practical bet spreads that work in a casino is the only fair way to compare systems.

In double deck games, your bet spread is determined in practice by what the casino can tolerate without barring youand is governed in reality much more by camouflage requirements, than mathematically optimally precise uneven values.

Players knowledgeable with SCORE values may wonder why all the values above seem low.

Generally, players are told to avoid games unless the SCORE is 50 or higher.

The inference drawn by some critics may be that the simulation visit web page above i.

First, let's find the closest SCORE values for our High-Low game above from Blackjack count comparison Attack.

From Blackjack Attack 2 nd Edition, table 11.

But, this was using the Fab18 indices, and our result of 6.

So to be fair, I ran a new simulation inadding the Fab18 indices.

This generated a win rate of 0.

The remaining difference can possibly be explained by other subtle simulation differences.

For example, how the true count is calculated decks remaining rounded up and division truncated, versus exact true countthe number of players in the simulation we used six for the six deck gameand other minor rule differences i.

Conclusion We hope this article helps provide further evidence using another method, SCORE, to back up our claims about the performance of Speed Count, a super-simple system that delivers roughly 75% of the power of High-Low without play indices.

Golden Touch Blackjack can teach blackjack players how to beat the game in just two days of instruction.

Our Speed Count is new, easy to use, and delivers a strong edge.

If you have tried card counting in the past and have failed, or if you want an easy method to get the edge over the house, then take our Golden Touch Blackjack course.

After all, winning is the most fun.

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The Knock-Out or KO blackjack card counting system is very similar to the Hi-Lo. KO count compared to other systems as they are less likely to make mistakes.

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It brings the potential of blackjack card counting to the masses of gamblers who. We've even made sure we compared Speed Count fairly by ...

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How do I become an expert in BlackJack card counting?.. My method of comparing systems is to apply the "Blackjack Formula," inserting the various systems' ...

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That is to say, the house edge enjoyed by the casino if you are playing.

If you are not playing optimally, the house edge figures become irrelevant.

House edge is another way of https://pink-stuf.com/blackjack/blackjack-payout-chart-3-to-2.html return to player RTP rate.

A house edge of 0.

The smaller the house edge the better!

Non-optimal play by other players at your table will effect your returns.

Players often grumble and groan at the decisions made by other players at their table under the misguided belief that these decisions will impact negatively on their bet outcomes.

In fact, while non-optimal, or even downright ridiculous decisions made by other players may put you off your game, they will have absolutely no impact on the mathematical returns blackjack count comparison to your game.

Similarly, where you are positioned on the table relative to other players, good or bad, is irrelevant blackjack count comparison the house edge applicable to your bet decisions.

Counting cards blackjack count comparison illegal.

Casinos would certainly like to have you believe this, as it discourages counting, but the fact is it is perfectly legal and no casino can prosecute a player for having counted their way to a massive win at the blackjack table.

Live casinos thwart by instituting that render blackjack count comparison strategies largely ineffective.

In the casino game Blackjack, a player can gain an advantage over the house by keeping track of the relative number of high and low cards remaining in the ...

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In which I turn some functions I wrote to understand blackjack strategy and card counting into a dynamic statistical comparison in R dscr.

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BlackJack This is a DSCR The idea here was to build a framework for easily comparing blackjack strategies using simulations in Dare online blackjack strategie />The framework is a Dynamic Statistical Comparison in R DSCR which is a concept from Mathew Stephens that enables more efficient development and comparison of statistical methods for any problem.

See here for a description from him: A hypothetical user of this DSCR I imagine to be someone who wants to understand blackjack and card counting or someone who has thought up a new card counting or other blackjack strategy and wants to compare it to those already implemented here.

One of the main points of putting a simulation framework like this into a DSCR is so it can be easily reproduced and extended.

R' If everything worked as it should, you will now have an R object called summaryResults that replicates the results I describe below.

Add a method The real benefit of a DSCR is that you can easily add a new method.

The decision function should return a single character specifying the decision to make under any combination of PlayersCards, DealersCards, and CardsDealt.

I would be really interested to see how big of an advantage you could get over the house if you had a perfect memory of the cards dealt.

I don't think this function would be too hard to write, but I haven't been able to find the time yet.

Current methods and results This is a flash blackjack counting cars of R functions for simulating blackjack play and comparing player-strategies.

The current version is working but is relatively ridged with respect to simulating different blackjack variants.

If people find this interesting or useful, I will go back to it and make it more flexible.

For example, right now I hard code things like the number of splits allowed, the payout on blackjack, and the dealer's decision on soft 17.

I have implemented five blackjack strategies so far - three are straw men for comparison, one is an optimal strategy without card counting and one uses the Hi-Lo system of card counting where betting is doubled for each integer increase in true count above 3.

More detail on strategy is given below with the resulting estimates of house edge given 1,000,000 simulated blackjack hands.

SimpleSumThresh This method simply decides to hit or stand based on the sum of the players cards.

Using this method blackjack count comparison hitting on anything less than blackjack count comparison gives these results for 2, 6, and 10 deck blackjack: scenario method WinningsPerBet 10DeckBJ SimpleSumThresh -0.

Often video-based blackjack blackjack count comparison limit the player to these options.

Decisions are hard coded and were taken from.

Overall house edge is a little bit higher than what this website reports I get a house edge around 1% whereas they report around 0.

This could be because right now I hard code that only one split is allowed.

In the simulations below, blackjack count comparison do see that the blackjack count comparison has a greater advantage with more decks even in the absence of card counting.

In the high-low system, a player remembers a single number.

When dealing from a shuffled deck begins, the count is set to 0.

For every card with value 2-6, the count is increased by one.

For every 10-valued card or ace, the count is decreased by one.

This raw count is adjusted by dividing by the number of decks left to play to get a 'true count'.

In this implementation, the players bet is doubled for every integer increase of the 'true count' above 3 e.

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Comparison of blackjack card counting systems based on their effectiveness and how easy to learn are they.

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Introduction Continuing fromrecall that card counting systems may be used in two different ways: to vary betting strategy, betting more or less on each round based on an estimate of the current expected return; but possibly also to vary playing strategy, affecting decisions to stand, hit, etc.My objective in this still-introductory post is to focus on the first of these two roles, describing how typical card counting systems work, and how they are used to estimate expected return.

The True Count Given a playing strategy which we are currently assuming is the fixed, total-dependent basic strategy from the last postwe can compute the exact expected return for a round played with that strategy, as a function of the shoe composition prior to the deal.

A shoe composition is specified by a vector s indicating the number of cards of each rank ace through ten.

For example, a full n-deck shoe is given bywhere The actual expected return is a complicated non-linear function of s.

A typical card counting system estimates this expected return using the true count TCa simpler linear function that a player can compute in his blackjack count comparison basically, the true count is a weighted average of the probabilities of card ranks remaining in the shoe.

Different systems use different tags; for example, the very common Hi-Lo system, first described by 50 years ago, uses the tags Then the true count for a given shoe composition is defined to be where, if we temporarily define n s to be the total number of cards remaining in the shoe, we see that the true count is check this out a sum of the card probabilities, weighted by — t.

We need to revise this definition slightly, though, to reflect how the true count is actually computed at the table.

First, the numerator in the formula is the running count RC ; the reader can verify that we can mentally maintain the running count read article a shoe by adding the tag for each card of rank i that we see dealt, starting with an initial running count IRC of for a full n-deck shoe.

Note that the IRC for the Hi-Lo system above is conveniently equal to zero for any number of decks; more on this later.

Whenever we need to compute the true count, we simply divide the running count by n s.

The problem is that it is difficult to keep track of exactly how many cards remain in the shoe.

The solution in most card counting systems is to instead divide by the number of decks remaining i.

For example, if we estimate the number of decks by rounding to the nearest half-deck, then the true count blackjack count comparison is I will use this definition of the true count divisor for the rest of this discussion.

At this point, I think it is important to note two effects of this change.

First, we have relaxed the amount of mental effort required, by approximating the number of cards remaining in the shoe.

But a second effect, perhaps blackjack count comparison important but rarely made explicit, is that we have effectively introduced a scale factor, multiplying all of our previously computed true counts by 52.

This is also helpful for the human player, since the resulting true counts range over a wider interval and may be approximated by integers, instead of being confined to small fractional values typically in the interval -1, 1.

Accuracy of true count estimation of expected return So how well does this work?

The following figure shows the actual expected return— still using fixed total-dependent basic strategy— vs.

Here again, the color is an overlaid smoothed histogram to show the greater density of points near the origin.

hard rock tulsa tournament true count, using fixed total-dependent basic strategy.

Can we do better than this?

It turns out that we can… but only if we relax some constraints on the counting systems we are allowed to use.

First, recall that the initial running count IRC for the Hi-Lo system is zero.

At any rate, if we expand our space of possible counting systems to include unbalanced counts, then the Knockout, orwhich counts sevens as +1, has a slightly higher correlation of 0.

The best overall Level 2 count is the unbalancedwith a correlation of 0.

Note that the optimality of these counting systems depends on the specific rule https://pink-stuf.com/blackjack/how-many-cards-used-in-blackjack.html, penetration, and fixed playing strategy assumed so far.

But before diving deeper into betting efficiency, we are now in a position blackjack count comparison address playing efficiency… where these systems generally suffer.

For example, basic strategy is to always hit hard 16 against a dealer 10.

But we can improve performance by allowing playing strategy to vary based not only on the cards in the current hand, but also on the current true count.

Next time, I will describe how this is done, including new software for evaluating the resulting improvement in expected return, compared with the best possible improvement from perfect play.

Blackjack Card Counting Efficiency.. counting systems. The comparison was done on the basis of efficiency of a system in performing its important functions.

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Blackjack Stress Test: Ace/Five Count #1