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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

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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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alldiplom.ru β€Ί ~mec β€Ί Probability β€Ί Blackjack.


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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

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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 basic strategy

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alldiplom.ru β€Ί ~mec β€Ί Probability β€Ί Blackjack.


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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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math 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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math 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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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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math behind blackjack basic strategy

Thanks for everything so far. The new moderator agreement is now live for moderators to accept across the…. This leaves only 3 cards whose value are known to us from which we make all our decisions 6. You can calculate this either exactly or by simulation.

Mathematics Continue reading Exchange is a question and answer site for people studying math at math behind blackjack basic strategy level and professionals in related fields. Finally if your hand was a 77, double 7you should split.

The best answers are voted up and rise to the top. Is there a specific formula that can be used so that I may program it and build my own tables. Question feed. Francis Rodgers Francis Rodgers 1 1 gold badge 5 5 silver badges article source 12 math behind blackjack basic strategy badges.

Active 2 years, 4 months ago. 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.

Ross Millikan Ross Millikan k 25 25 gold badges silver badges bronze badges. However if your hand was an A3 soft 14you should double down. Sign up or log in Sign up using Google. 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. I dont think there are may other combinations might be wrong. 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 math behind blackjack basic strategy, you should stand take no more cards.

The number of possibilities explodes. But I math behind blackjack basic strategy 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. The basic idea is to see if your probability of winning the hand is increased by drawing over standing.

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But I wanted to post one of a basic strategy table with the rules specified. 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 reasons for questioning these tables are because almost every website or book quotes such tables without explaining the maths behind them. Meaning how exactly are the three examples above worked out. As the dealer total gets lower, the possibilities expand, as he can draw a small card and need to keep drawing. The easier way is to simulate lots of hands. I would appreicate it. Thanks so far. But perhaps I am missing something. 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. But if you always start with a full deck the casino has the edge. Ok that does make a difference as you pointed out. Email Required, but never shown. Viewed 16k times. 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. Featured on Meta. I cannot include screenshots because I am new to this forum. I assume this is the dealers hand. It only takes a minute to sign up. Sign up to join this community. If you stand, you only win if the dealer busts. Sign up using Facebook. Thats a lot of calculations! 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. Home Questions Tags Users Unanswered. 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. One of the 4 cards above in point 3 are unknown because it is the dealers face down card 5. Sign up using Email and Password. Hot Network Questions. How is it faster to simulate as opposed to just calculate? 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. The deck has 32 cards that are 6 or more, and 4 are accounted for. 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. 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. So you have seven ways to make 14 to play against in this case a 6 showing. If I just had the steps to take for 1 example I would be very happy. Second it means we are always working from the same base numbers outlined below 2. Here are the rules. We always start with a full deck of cards. 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. Post as a guest Name. You have to take the prob of your hand busting, against the prob of the dealer busting. The questions I have are, what are these decisions based on. Asked 8 years, 11 months ago. We have 1 full deck of 52 cards 3. Again, you can calculate this either exactly or by simulation. Active Oldest Votes.