🖐 The mathematics of blackjack: Probabilities

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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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math behind blackjack

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Learning the mathematics behind blackjack isn't overly complicated. Understanding the core blackjack math principles is essential to card counting.


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Study theory of probability in blackjack with mathematics of true odds, house advantage, edge, bust, basic strategy charts, card counting, systems, software.


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Transcript of Mathematics and Card Counting in Blackjack RichCasino Best Casino Bonuses The Best Online Casinos for USA Players Mathematics and Card.


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Transcript of Mathematics and Card Counting in Blackjack RichCasino Best Casino Bonuses The Best Online Casinos for USA Players Mathematics and Card.


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Probability of obtaining a blackjack from the first two cards is P = 32/ = % in the case of a 1-deck game and P = 64/= % in the case of a


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Rules. A blackjack game has a dealer and one or more players. Each player plays against the dealer. All players are initially dealt two cards and the.


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Study theory of probability in blackjack with mathematics of true odds, house advantage, edge, bust, basic strategy charts, card counting, systems, software.


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Probability of obtaining a blackjack from the first two cards is P = 32/ = % in the case of a 1-deck game and P = 64/= % in the case of a


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math behind blackjack

You have to take the prob of your hand busting, against the prob of the dealer busting. Second it means we are always working from the same base numbers outlined below 2. Sign up to join this community. But if you always start with a full deck the casino has the edge. Question feed. Basic strategy just gives the player almost an even chance. Francis Rodgers Francis Rodgers 1 1 gold badge 5 5 silver badges 12 12 bronze badges. Featured on Meta. However if your hand was an A3 soft 14 , you should double down. The questions I have are, what are these decisions based on. The best answers are voted up and rise to the top. 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. Active Oldest Votes. Ross Millikan Ross Millikan k 25 25 gold badges silver badges bronze badges. Is there a specific formula that can be used so that I may program it and build my own tables. 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. New post lock available on meta sites: Policy Lock. It only takes a minute to sign up. Meaning how exactly are the three examples above worked out. Ok that does make a difference as you pointed out. We always start with a full deck of cards. One of the 4 cards above in point 3 are unknown because it is the dealers face down card 5. As the dealer total gets lower, the possibilities expand, as he can draw a small card and need to keep drawing. I dont think there are may other combinations might be wrong. 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. I cannot include screenshots because I am new to this forum. The basic idea is to see if your probability of winning the hand is increased by drawing over standing. Sign up using Email and Password. I assume this is the dealers hand. Asked 8 years, 11 months ago. Is it possible to show how I can calculate them. Sign up or log in Sign up using Google. Finally if your hand was a 77, double 7 , you should split. But I wanted to post one of a basic strategy table with the rules specified. The number of possibilities explodes. 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. The reasons for questioning these tables are because almost every website or book quotes such tables without explaining the maths behind them. Post as a guest Name. If I just had the steps to take for 1 example I would be very happy. I would appreicate it. We have 1 full deck of 52 cards 3. Viewed 16k times. 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. If you stand, you only win if the dealer busts. Again, you can calculate this either exactly or by simulation. Thanks so far. 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. The deck has 32 cards that are 6 or more, and 4 are accounted for. Email Required, but never shown. 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. Hot Network Questions. 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. Mathematics Stack Exchange works best with JavaScript enabled.{/INSERTKEYS}{/PARAGRAPH} The easier way is to simulate lots of hands. So you have seven ways to make 14 to play against in this case a 6 showing. Related 0. {PARAGRAPH}{INSERTKEYS}Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. 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. Thanks for everything so far. Active 2 years, 4 months ago. Thats a lot of calculations! But perhaps I am missing something. Home Questions Tags Users Unanswered. Here are the rules. How is it faster to simulate as opposed to just calculate? Essentially what I am asking is how do you calculate your next move given a set of rules and a specific hand. 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. Feedback post: New moderator reinstatement and appeal process revisions. 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. 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 can calculate this either exactly or by simulation. Sign up using Facebook. This leaves only 3 cards whose value are known to us from which we make all our decisions 6.