🍒 Blackjack Mathematics: Probability, Odds, Strategies, Systems

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mathematics behind blackjack basic strategy

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A blackjack game has a dealer and one or more players. With soft hands, the basic strategy is to always hit 17 or less and even hit 18 if the dealer's up card is.


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mathematics behind blackjack basic strategy

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Basically, these computer simulations showed the mathematical probability of improving the blackjack hand or beating the dealer, by a certain playing strategy.


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mathematics behind blackjack basic strategy

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Blackjack Betting Systems and Strategies: The Mathematics Behind the Game of Thorp's Basic Strategy as well as more powerful card counting strategies.


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mathematics behind blackjack basic strategy

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Learning the mathematics behind blackjack isn't overly complicated. To get the most accurate evaluation of N0 one must play by the same set of rules and the same betting/playing strategies. Going back The basic equation of figuring CE.


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mathematics behind blackjack basic strategy

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Basically, these computer simulations showed the mathematical probability of improving the blackjack hand or beating the dealer, by a certain playing strategy.


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mathematics behind blackjack basic strategy

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B6655644
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A blackjack game has a dealer and one or more players. With soft hands, the basic strategy is to always hit 17 or less and even hit 18 if the dealer's up card is.


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mathematics behind blackjack basic strategy

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Blackjack Betting Systems and Strategies: The Mathematics Behind the Game of Thorp's Basic Strategy as well as more powerful card counting strategies.


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mathematics behind blackjack basic strategy

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behind basic blackjack strategy and card counting? Mathematics. I've started to get into blackjack and the "basic strategy" behind it using tables like this.


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mathematics behind blackjack basic strategy

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The reasons for questioning these tables are because almost every website or book quotes such tables without explaining the maths behind them.


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mathematics behind blackjack basic strategy

Stand on Stand on 7,10 or A. A,2 Double on 5,6. On the left hand column is the total of the cards you have in your hand and the proper playing strategy based on the dealers up card. A,6 Double on 2 to 6. A,6 Double on 3 to 6. So I urge you to study the rules below and practice them until they do not require any thought on your part. Always hit.{/INSERTKEYS}{/PARAGRAPH} {PARAGRAPH}{INSERTKEYS}The most important thing to learn about playing blackjack, and I can not stress this enough, is to learn basic strategy. You can also play online for free here on Blackjack Center via the link found above. A,9 Always stand. There are many inexpensive blackjack games which you can buy for your PC, and several shareware ones which you can easily obtain off of the internet. A,2 to A,5 Double on 4 to 6. The above chart assumes the casino doesn't allow doubling down after pair splitting. If the casino allows doubling down after pair splitting then use the following pair splitting rules. But always remember, even the most skilled card counter will still use basic strategy for the vast majority of his or her playing decisions. In other words, telling the blackjack player what action he or she should take hit, split, double-down, etc. With basic strategy the house advantage is only about 0. Stand on 2,7 or 8. The charts below should be self explanatory. A,3 Double on 5,6. The only time you should vary from basic strategy is under certain circumstances where you are counting cards. Namely, how many decks that are in the shoe you are playing. Otherwise hit. Below I have listed the basic strategy rules for single deck games and for multiple deck shoes. A,8 to A,10 Always stand. Hit on A. Do NOT alter your play based on some hunch that you have, or by a perceived idea that you always lose when you split eights for example. A,4 Double on 4 to 6. Hit on 9,10 or A. The above multiple deck basic strategy is valid if the players are allowed to double down after pair splitting. Basic strategy varies according to the type of playing conditions that you are exposed to. Hit on 10, A. Stand on 7,10, or A. I will explain this in more detail under the card counting section of this web site. Your Hand vs Dealer's Upcard 2,2 Split on 2 to 7. This is why blackjack can be one of the most profitable games to play in a casino. In fact, if you attempt to make a wrong decision a dialog box will pop up and suggest to you the proper playing decision to make. Stand on 2,7,8 or A. The best commercial version that I have found is called "Play to Win" by Wizard Works, and it is available now in any major computer software supply store. A,5 Double on 4 to 6. It is imperative as a blackjack player to learn this basic strategy, because by using it, you will eliminate the normal 5 or so percent advantage the casino has over the unskilled player. Treat as 10 above. That is less than a 1 percent disadvantage to the player. Regardless on what you use to practice, whether it be a computer blackjack game or simply a deck of cards, you MUST learn basic strategy to have any hope of being a consistent winner at the blackjack tables. You may think that you lose more often than you win in certain basic strategy situations, but this is NOT the case over the long run. The important thing to remember is that nearly all basic strategy rules are indisputable in the long run, the finite nature of mathematical science dictates that a particular playing decision, based on the player's cards and the dealer's exposed card, will yield a predictable outcome after millions of hands of play. A,A Always split. Your Hand vs Dealer's Upcard 2,2 Split on 4 to 7. Another fact that I must stress is to play exactly the way listed below. Hit on 9 or A,8 Double on 6. If doubling down is not allowed after pair splitting, then use the following pair splitting rules. A,7 Double on 3 to 6. This game also has a coaching option where it will tell you what decision to make based on basic strategy. Basic strategy was created by using a computer simulation of millions of blackjack hands. Otherwise stand. Basically, these computer simulations showed the mathematical probability of improving the blackjack hand or beating the dealer, by a certain playing strategy.