πŸ– Blackjack Mathematics: Probability, Odds, Strategies, Systems

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math behind blackjack basic strategy

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


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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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Probability Theory Basics and Applications - Mathematics of Blackjack. Any blackjack strategy is based on counting the cards played. Unlike a baccarat game.


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Probability Theory Basics and Applications - Mathematics of Blackjack. Any blackjack strategy is based on counting the cards played. Unlike a baccarat game.


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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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Probability Theory Basics and Applications - Mathematics of Blackjack. Any blackjack strategy is based on counting the cards played. Unlike a baccarat game.


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Probability Theory Basics and Applications - Mathematics of Blackjack. Any blackjack strategy is based on counting the cards played. Unlike a baccarat game.


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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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math behind blackjack basic strategy

Hot Network Questions. How is it faster to simulate as opposed to just calculate? Ok that does make a difference as you pointed out. But I wanted to post one of a basic strategy table with the rules specified. 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. Sign up using Facebook. Is there a specific formula that can be used so that I may program it and build my own tables. Mathematics Stack Exchange works best with JavaScript enabled.{/INSERTKEYS}{/PARAGRAPH} Sign up or log in Sign up using Google. The easier way is to simulate lots of hands. Home Questions Tags Users Unanswered. The basic idea is to see if your probability of winning the hand is increased by drawing over standing. The number of possibilities explodes. If you stand, you only win if the dealer busts. 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. I assume this is the dealers hand. Email Required, but never shown. We always start with a full deck of cards. Meaning how exactly are the three examples above worked out. One of the 4 cards above in point 3 are unknown because it is the dealers face down card 5. But if you always start with a full deck the casino has the edge. Viewed 16k times. Here are the rules. Thanks so far. 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. So you have seven ways to make 14 to play against in this case a 6 showing. 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. Again, you can calculate this either exactly or by simulation. 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. 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. You have to take the prob of your hand busting, against the prob of the dealer busting. 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. 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. Thats a lot of calculations! Active 2 years, 4 months ago. {PARAGRAPH}{INSERTKEYS}Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. Sign up using Email and Password. It only takes a minute to sign up. Active Oldest Votes. As the dealer total gets lower, the possibilities expand, as he can draw a small card and need to keep drawing. The best answers are voted up and rise to the top. Francis Rodgers Francis Rodgers 1 1 gold badge 5 5 silver badges 12 12 bronze badges. 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. Thanks for everything so far. If I just had the steps to take for 1 example I would be very happy. 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. We have 1 full deck of 52 cards 3. You can calculate this either exactly or by simulation. Question feed. The reasons for questioning these tables are because almost every website or book quotes such tables without explaining the maths behind them. But perhaps I am missing something. Feedback post: New moderator reinstatement and appeal process revisions. Featured on Meta. Post as a guest Name. 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. Finally if your hand was a 77, double 7 , you should split. 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. Is it possible to show how I can calculate them. This leaves only 3 cards whose value are known to us from which we make all our decisions 6. Sign up to join this community. The new moderator agreement is now live for moderators to accept across the…. Second it means we are always working from the same base numbers outlined below 2. The deck has 32 cards that are 6 or more, and 4 are accounted for. I would appreicate it. I cannot include screenshots because I am new to this forum. Essentially what I am asking is how do you calculate your next move given a set of rules and a specific hand. Basic strategy just gives the player almost an even chance. However if your hand was an A3 soft 14 , you should double down. I dont think there are may other combinations might be wrong. Ross Millikan Ross Millikan k 25 25 gold badges silver badges bronze badges. Asked 8 years, 11 months ago. The questions I have are, what are these decisions based on.