πŸ– Blackjack Study: Expected Value of Card Counting | React

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ADDITIONS TO STANDARD NEGATIVE EXPECTED VALUE DUE TO PLAYING DEVIATIONS FROM BASIC STRATEGY Play Expected Value (1) Splitting 4,4.


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Calculation of Expected Values in Blackjack discussed in Blackjack/Gambling at Wizard of Vegas
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blackjack expected values

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Blackjack, formerly also Black Jack and Vingt-Un, is the American member of a global family of If the player is dealt an Ace and a ten-value card (called a "​blackjack" or "natural"), and the dealer does The expected loss rate of players who deviate from basic strategy through poor play will be greater, often much greater.


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Now that you have learned basic strategy, what are your likely losses over the long-term from playing blackjack? All casino games have a.


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blackjack expected values

JK644W564
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Now that you have learned basic strategy, what are your likely losses over the long-term from playing blackjack? All casino games have a.


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blackjack expected values

JK644W564
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Blackjack, formerly also Black Jack and Vingt-Un, is the American member of a global family of If the player is dealt an Ace and a ten-value card (called a "​blackjack" or "natural"), and the dealer does The expected loss rate of players who deviate from basic strategy through poor play will be greater, often much greater.


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blackjack expected values

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Computer calculations for most exact expected values in blackjack have been avail- able since the 's, but exact results for pair splitting and.


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blackjack expected values

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Splitting aces and eights is part of blackjack basic strategy. Rules vary across gambling Probabilistic research of expected value scenarios shows that by splitting eights one can convert a hand that presents an expected loss to two hands that.


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blackjack expected values

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Computer calculations for most exact expected values in blackjack have been avail- able since the 's, but exact results for pair splitting and.


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blackjack expected values

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EV has lots of names: expectation, long-run expectation, LRE, fair value or expected value. Most people tend call it EV these days. EV isn't a.


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blackjack expected values

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Most people would try to calculate EV's in blackjack by simulations since it is so complex. But the Wizard has done all his expected value.


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blackjack expected values

A copy of the paper is included in the Blackjack project and posted here. Until a recent algorithm developed by the author , these calculations have not been possible. These tables are direct output from the Blackjack software formatted for nice display for most expected values. Tables of Results You can obtain and run the Blackjack software software to complete exact expected value calculations, but some of those calculations take a long time. An estimate based on scaling effects with conventional blackjack software methods showed that a convential approach would take about 11, years of computer time on 3GHz processors to complete all splitting calculations for a single-deck game. The software's unique feature is that it can even do exact calculations for pair splitting. The exact calculation of pair splitting is much more time consuming then all other expected value calculations combined. The author of the Blackjack software has written a paper describing the process. Exact results for splitting have only been completed for the single deck game. The paper also describes an new approximate method that can get accurate splitting results in much less time. You can use them without needing to download and run the software. Alternatively, you can just look up many results in the tables listed below. You can clone that project to learn how to compile the code and run calculations. Although exact splitting calculations are now possible, they are time consuming. All tables, however, include the new approximate, but accurate, splitting results.{/INSERTKEYS}{/PARAGRAPH} The longest, by far, are the exact results for splitting. The Blackjack software can do both the exact and the approximate calculations. The final result was that all splitting calculations were reduced to 45 days of computer time. This web site, therefore, has tables of exact expected values output from the software. All tables of expected values given below were calculated using the public domain software package available in the Blackjack project on GitHub. {PARAGRAPH}{INSERTKEYS}Nairn Updated: 22 SEP This web site posts results run using a public domain software package which is available in a Blackjack project on GitHub that does many exact calculations of blackjack expected values. Fortunately, it is possible to do better.