πŸ– The mathematics of blackjack: Probabilities

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Mathematics, True Odds, Basic Strategy, Card Counting, House.


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mathematics behind blackjack basic strategy

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Mathematics, True Odds, Basic Strategy, Card Counting, House.


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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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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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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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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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Using basic strategy should be a must for anyone playing blackjack. This gives you the best chance for a small house edge and it's fairly easy Learning the.


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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

If so we dont know the down card is a Then calculate the rest as you did for every set of dealer hands before going on to the next player hand. The best answers are voted up and rise to the top. Finally if your hand was a 77, double 7 , you should split. If you hit, you lose if you go over If you don't go over 21, you might get a higher total than the dealer. But I still think it is doable for a given hand combination in less than possibly 2 or 3 seconds even on an 4 or 5 year old computer. Ok that does make a difference as you pointed out. The basic idea is to see if your probability of winning the hand is increased by drawing over standing. But if you always start with a full deck the casino has the edge. Second it means we are always working from the same base numbers outlined below 2. Assume this for 2 reasons, first the count for card counters is irrelevant as there is not enough cards out to establish a pattern such patterns can affect the way you play using basic strategy and therefore the stats of the game. Question feed. So you have seven ways to make 14 to play against in this case a 6 showing. Is it possible to show how I can calculate them. I would not say the basic strategy is useless, as playing that way reduces your losing percentage substantially from two alternatives: either never bust stop when you are at 12 or play like the dealer. With todays computers even a basic low spec laptop could calculate mathematically every probabbality for this given set of game rules and card combinations there is only 7 combos in a second or less. You can calculate this either exactly or by simulation. The easier way is to simulate lots of hands. Mathematics Stack Exchange works best with JavaScript enabled.{/INSERTKEYS}{/PARAGRAPH} Asked 8 years, 11 months ago. The new moderator agreement is now live for moderators to accept across the…. Sign up using Email and Password. You have to take the prob of your hand busting, against the prob of the dealer busting. We have 1 full deck of 52 cards 3. Featured on Meta. Again, you can calculate this either exactly or by simulation. This leaves only 3 cards whose value are known to us from which we make all our decisions 6. Email Required, but never shown. Sign up to join this community. I would appreicate it. If you stand, you only win if the dealer busts. If the dealer up card is 6, and your two cards show a total of 14 perhaps 8 and 6, or 9 and 4, it does not matter the combination , you should stand take no more cards. The reasons for questioning these tables are because almost every website or book quotes such tables without explaining the maths behind them. Thanks for everything so far. But perhaps I am missing something. The deck has 32 cards that are 6 or more, and 4 are accounted for. Ross Millikan Ross Millikan k 25 25 gold badges silver badges bronze badges. Feedback post: New moderator reinstatement and appeal process revisions. It is not sufficient to get above even, but one part of a long term winning strategy will include losing as little as possible when you can't win. Post as a guest Name. It only takes a minute to sign up. Ed Thorp was the first to devise a system for beating casino blackjack, by simulating millions of deals on an IBM computer and turning the results into a card counting system. Viewed 16k times. Thats a lot of calculations! Taking your example: If the dealer up card is 6, and your two cards show a total of 14 perhaps 8 and 6, or 9 and 4, it does not matter the combination , you should stand take no more cards. Active 2 years, 4 months ago. Here are the rules. How is it faster to simulate as opposed to just calculate? But I wanted to post one of a basic strategy table with the rules specified. I assume this is the dealers hand. I dont think there are may other combinations might be wrong. One of the 4 cards above in point 3 are unknown because it is the dealers face down card 5. {PARAGRAPH}{INSERTKEYS}Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. Hot Network Questions. The number of possibilities explodes. As the dealer total gets lower, the possibilities expand, as he can draw a small card and need to keep drawing. After the game is finished, all the cards are replaced in the deck and the deck is reshuffled to begin again this brings us back to point 1 to repeat the process for every game. Francis Rodgers Francis Rodgers 1 1 gold badge 5 5 silver badges 12 12 bronze badges. We always start with a full deck of cards. Thanks so far. The questions I have are, what are these decisions based on. Meaning how exactly are the three examples above worked out. I cannot include screenshots because I am new to this forum. Active Oldest Votes. Lets assume a very basic set of rules and table for them, these rules are unlikely to be seen in any casino and the reason is clear, there is only a 0. If I just had the steps to take for 1 example I would be very happy. However if your hand was an A3 soft 14 , you should double down. Sign up or log in Sign up using Google. Is there a specific formula that can be used so that I may program it and build my own tables. Basic strategy just gives the player almost an even chance. Sign up using Facebook. Home Questions Tags Users Unanswered. Essentially what I am asking is how do you calculate your next move given a set of rules and a specific hand.