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Math blackjack

Probability Theory Basics and Applications - Mathematics of Blackjack. Carleton University teaches you how to use the blackjack probability table to win your blackjack games every time you play. Watch the video and play! Study theory of probability in blackjack with mathematics of true odds, house advantage, edge, bust, basic strategy charts, card counting, systems, software.

Blackjack Mathematics

In making this calculus, circumstantial information such as fraudulent dealing is not taken into account as in all situations corresponding to card games. Join us in building a kind, collaborative learning community via our updated Code of Conduct. The questions I have are, what are these decisions based on. Your ad here See the terms and rates in the advertising page. I think a lot of it is simulation based rather than with a mathematical proof. I would not say the basic strategy is useless, as playing that way reduces your losing percentage substantially from two alternatives: See our independent and dependent events page for more on this.

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We first present the probabilities attached to card dealing and initial predictions. In making this calculus, circumstantial information such as fraudulent dealing is not taken into account as in all situations corresponding to card games.

All probabilities are calculated for cases using one or two decks of cards. Let us look at the probabilities for a favorable initial hand the first two cards dealt to be achieved. Similarly, we can calculate the following probabilities: A good initial hand which you can stay with could be a blackjack or a hand of 20, 19 or 18 points. The probability of obtaining such a hand is calculated by totaling the corresponding probabilities calculated above: The probabilities of events predicted during the game are calculated on the basis of the played cards the cards showing from a certain moment.

This requires counting certain favorable cards showing for the dealer and for the other players, as well as in your own hand. Any blackjack strategy is based on counting the cards played.

Unlike a baccarat game, where a maximum of three cards are played for each player, at blackjack many cards could be played at a certain moment, especially when many players are at the table.

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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. Here are the rules. 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.

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. I cannot include screenshots because I am new to this forum. But I wanted to post one of a basic strategy table with the rules specified. 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.

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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. Essentially what I am asking is how do you calculate your next move given a set of rules and a specific hand. Meaning how exactly are the three examples above worked out.

Is there a specific formula that can be used so that I may program it and build my own tables. The basic idea is to see if your probability of winning the hand is increased by drawing over standing. If you stand, you only win if the dealer busts. You can calculate this either exactly or by simulation. 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.

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