Card counting is most rewarding near the end of a complete shoe when as few as possible cards remain. Number cards count as their natural value; the jack, queen, and king also known as "face cards" or "pictures" count as 10; aces are valued as either 1 or 11 according to the player's choice. Gambling mathematics Mathematics of bookmaking Poker probability. Retrieved 21 May Nonetheless side bets can be susceptible to card counting. Votre aide est la bienvenue! A card counter uses this count to make betting and playing decisions according to a table which they have learned.
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The dealer's hand receives its first card face up, and in "hole card" games immediately receives its second card face down the hole card , which the dealer peeks at but does not reveal unless it makes the dealer's hand a blackjack. Hole card games are sometimes played on tables with a small mirror or electronic sensor that is used to peek securely at the hole card. In European casinos, "no hole card" games are prevalent; the dealer's second card is neither drawn nor consulted until the players have all played their hands.
Cards are dealt either from one or two handheld decks, from a dealer's shoe , or from a shuffling machine. Single cards are dealt to each wagered-on position clockwise from the dealer's left, followed by a single card to the dealer, followed by an additional card to each of the positions in play. The players' initial cards may be dealt face up or face down more common in single-deck games.
On their turn, players must choose whether to "hit" take a card , "stand" end their turn , "double" double wager, take a single card and finish , "split" if the two cards have the same value, separate them to make two hands or "surrender" give up a half-bet and retire from the game. Number cards count as their natural value; the jack, queen, and king also known as "face cards" or "pictures" count as 10; aces are valued as either 1 or 11 according to the player's choice.
If the hand value exceeds 21 points, it busts, and all bets on it are immediately forfeit. After all boxes have finished playing, the dealer's hand is resolved by drawing cards until the hand busts or achieves a value of 17 or higher a dealer total of 17 including an ace, or "soft 17", must be drawn to in some games and must stand in others.
The dealer never doubles, splits, or surrenders. If the dealer busts, all remaining player hands win. If the dealer does not bust, each remaining bet wins if its hand is higher than the dealer's, and loses if it is lower. If a player receives 21 on the 1st and 2nd card it is considered a "natural" or "blackjack" and the player is paid out immediately unless dealer also has a natural, in which case the hand ties.
In the case of a tied score, known as "push" or "standoff", bets are normally returned without adjustment; however, a blackjack beats any hand that is not a blackjack, even one with a value of Wins are paid out at 1: Many casinos today pay blackjacks at less than 3: Blackjack games almost always provide a side bet called insurance, which may be played when dealer's upcard is an ace. Additional side bets, such as "Dealer Match" which pays when the player's cards match the dealer's up card, are sometimes available.
After receiving an initial two cards, the player has up to four standard options: Each option has a corresponding hand signal. Some games give the player a fifth option, "surrender". Hand signals are used to assist the " eye in the sky ", a person or video camera located above the table and sometimes concealed behind one-way glass.
The eye in the sky usually makes a video recording of the table, which helps in resolving disputes and identifying dealer mistakes, and is also used to protect the casino against dealers who steal chips or players who cheat.
The recording can further be used to identify advantage players whose activities, while legal, make them undesirable customers. In the event of a disagreement between a player's hand signals and their words, the hand signal takes precedence. Each hand may normally "hit" as many times as desired so long as the total is not above hard On reaching 21 including soft 21 , the hand is normally required to stand; busting is an irrevocable loss and the players' wagers are immediately forfeited to the house.
After a bust or a stand, play proceeds to the next hand clockwise around the table. When the last hand has finished being played, the dealer reveals the hole card, and stands or draws further cards according to the rules of the game for dealer drawing.
When the outcome of the dealer's hand is established, any hands with bets remaining on the table are resolved usually in counterclockwise order: If the dealer's upcard is an ace, the player is offered the option of taking "insurance" before the dealer checks the hole card. Insurance is a side bet that the dealer has blackjack and is treated independently of the main wager. The idea is that the dealer's second card has a fairly high probability nearly one-third to be ten-valued, giving the dealer blackjack and disappointment for the player.
It is attractive although not necessarily wise for the player to insure against the possibility of a dealer blackjack by making a maximum "insurance" bet, in which case the "insurance proceeds" will make up for the concomitant loss on the original bet. The player may add up to half the value of their original bet to the insurance and these extra chips are placed on a portion of the table usually marked "Insurance pays 2 to 1". Players with a blackjack may also take insurance, and in taking maximum insurance they commit themselves to winning an amount exactly equal to their main wager, regardless of the dealer's outcome.
Fully insuring a blackjack against blackjack is thus referred to as "taking even money", and paid out immediately, before the dealer's hand is resolved; the players do not need to place more chips for the insurance wager. Insurance bets are expected to lose money in the long run, because the dealer is likely to have blackjack less than one-third of the time. However the insurance outcome is strongly anti-correlated with that of the main wager, and if the player's priority is to reduce variation , they might choose to pay for this.
Furthermore, the insurance bet is susceptible to advantage play. It is advantageous to make an insurance bet whenever the hole card has more than a chance of one in three of being a ten. Advantage play techniques can sometimes identify such situations. In a multi-hand, face-up, single deck game, it is possible to establish whether insurance is a good bet simply by observing the other cards on the table after the deal; even if there are just 2 player hands exposed, and neither of their two initial cards is a ten, then 16 in 47 of the remaining cards are tens, which is larger than 1 in 3, so insurance is a good bet.
This is an elementary example of the family of advantage play techniques known as card counting. Bets to insure against blackjack are slightly less likely to be advantageous than insurance bets in general, since the ten in the player's blackjack makes it less likely that the dealer has blackjack too.
The rules of casino blackjack are generally determined by law or regulation, which establishes certain rule variations allowed at the discretion of the casino. The rules of any particular game are generally posted on or near the table, failing which there is an expectation that casino staff will provide them on request. Over variations of blackjack have been documented. As with all casino games, blackjack incorporates a "house edge", a statistical advantage for the casino that is built into the game.
The advantage of the dealer's position in blackjack relative to the player comes from the fact that if the player busts, the player loses, regardless of whether the dealer subsequently busts.
The loss rate of players who deviate from basic strategy through ignorance is generally expected to be greater. Surrender, for those games that allow it, is usually not permitted against a dealer blackjack; if the dealer's first card is an ace or ten, the hole card is checked to make sure there is no blackjack before surrender is offered.
This rule protocol is consequently known as "late" surrender. The alternative, "early" surrender, gives player the option to surrender before the dealer checks for blackjack, or in a no-hole-card game. Early surrender is much more favorable to the player than late surrender. Most medium-strength hands should be surrendered against a dealer Ace if the hole card has not been checked.
For late surrender, however, while it is tempting to opt for surrender on any hand which will probably lose, the correct strategy is to only surrender on the very worst hands, because having even a one in four chance of winning the full bet is better than losing half the bet and pushing the other half, as entailed by surrendering. With no hole card, it is almost never correct basic strategy to double or split against a dealer ten or ace, since a dealer blackjack will result in the loss of the split and double bets; the only exception is with a pair of A's against a dealer 10, where it is still correct to split.
In all other cases, a stand, hit or surrender is called for. For instance, holding 11 against a dealer 10, the correct strategy is to double in a hole card game where the player knows the dealer's second card is not an ace , but to hit in a no hole card game. The no hole card rule adds approximately 0.
The "original bets only" rule variation appearing in certain no hole card games states that if the player's hand loses to a dealer blackjack, only the mandatory initial bet "original" is forfeited, and all optional bets, meaning doubles and splits, are pushed. Each blackjack game has a basic strategy , which is playing a hand of any total value against any dealer's up-card, which loses the least money to the house in the long term.
An example of basic strategy is shown in the table below, and includes the following parameters: The bulk of basic strategy is common to all blackjack games, with most rule variations calling for changes in only a few situations.
For example, if the above game used the hit on soft 17 rule, common in Las Vegas Strip casinos, only 6 cells of the table would need to be changed: A, surrender 15 or 17 vs. A, double on A,7 vs. Also when playing basic strategy never take insurance or "even money.
Estimates of the house edge for blackjack games quoted by casinos and gaming regulators are generally based on the assumption that the players follow basic strategy and do not systematically change their bet size. Most blackjack games have a house edge of between 0.
Casino promotions such as complimentary matchplay vouchers or 2: Basic strategy is based upon a player's point total and the dealer's visible card. Players may be able to improve on this decision by considering the precise composition of their hand, not just the point total. For example, players should ordinarily stand when holding 12 against a dealer 4. However, in a single deck game, players should hit if their 12 consists of a 10 and a 2. The presence of a 10 in the player's hand has two consequences: However, even when basic and composition-dependent strategy lead to different actions, the difference in expected reward is small, and it becomes even smaller with more decks.
Using a composition-dependent strategy rather than basic strategy in a single deck game reduces the house edge by 4 in 10,, which falls to 3 in , for a six-deck game. Blackjack has been a high-profile target for advantage players since the s. Advantage play is the attempt to win more using skills such as memory, computation, and observation.
These techniques, while generally legal, can be powerful enough to give the player a long-term edge in the game, making them an undesirable customer for the casino and potentially leading to ejection or blacklisting if they are detected.
The main techniques of advantage play in blackjack are as follows:. During the course of a blackjack shoe, the dealer exposes the dealt cards. Careful accounting of the exposed cards allows a player to make inferences about the cards which remain to be dealt.
These inferences can be used in the following ways:. A card counting system assigns a point score to each rank of card e. When a card is exposed, a counter adds the score of that card to a running total, the 'count'. A card counter uses this count to make betting and playing decisions according to a table which they have learned.
The count starts at 0 for a freshly shuffled deck for "balanced" counting systems. Unbalanced counts are often started at a value which depends on the number of decks used in the game.
Blackjack's house edge is usually between 0. Card counting is most rewarding near the end of a complete shoe when as few as possible cards remain. Single-deck games are therefore particularly susceptible to card counting. As a result, casinos are more likely to insist that players do not reveal their cards to one another in single-deck games. In games with more decks of cards, casinos limit penetration by ending the shoe and reshuffling when one or more decks remain undealt.
Casinos also sometimes use a shuffling machine to reintroduce the exhausted cards every time a deck has been played. Card counting is legal and is not considered cheating as long as the counter isn't using an external device, : Sometimes a casino might ban a card counter from the property.
The use of external devices to help counting cards is illegal in all US states that license blackjack card games. Techniques other than card counting can swing the advantage of casino blackjack toward the player. All such techniques are based on the value of the cards to the player and the casino as originally conceived by Edward O.
Shuffle tracking requires excellent eyesight and powers of visual estimation but is more difficult to detect since the player's actions are largely unrelated to the composition of the cards in the shoe. Arnold Snyder's articles in Blackjack Forum magazine brought shuffle tracking to the general public. His book, The Shuffle Tracker's Cookbook, mathematically analyzed the player edge available from shuffle tracking based on the actual size of the tracked slug. Il se joue avec un jeu de 52 cartes et un joker.
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