Blackjack (also known as 21) is one of the most popular casino
card games in the world. Much of blackjack's popularity is due to the mix of chance with
elements of skill, and the publicity that surrounds card counting (keeping track of which
cards have been played since the last shuffle). Blackjack's precursor was vingt-et-un ("twenty-one"), which originated in
French casinos around 1700, and did not offer the 3:2 bonus for a two-card 21.
When 21 was first introduced in the United States it was not very popular, so gambling
houses tried offering various bonus payouts to get the players to the tables. One such bonus was a 10-to-1 payout if the player's
hand consisted of the ace of spades and a black Jack (either the Jack of clubs or the Jack of spades). This hand was called a
"blackjack" and the name stuck to the game even though the bonus payout was soon abolished. As the game is currently played, a
"blackjack" may not necessarily contain a jack or any black cards at all.
Insurance
If the dealer's upcard is an Ace, the player is offered the option of taking Insurance before the dealer checks his
'hole card'.
The player who wishes to take Insurance can bet an amount up to half his original bet. The Insurance bet is placed separately
on a special portion of the table, which usually carries the words "Insurance Pays 2:1". The player who is taking Insurance is
betting that the dealer was dealt a natural, i.e. a two-card 21 (a blackjack), and this bet by the player pays off 2:1 if
it wins. It is called insurance since if the dealer has a blackjack, the bet wins the same amount of the player's Blackjack
wager, such that if insurance is taken and the player doesn't have blackjack but dealer does, no money is lost. Of course the
dealer can end up not having blackjack and the player can still win or lose the blackjack bet.
Insurance is a bad bet for the non-counting player who has no knowledge of the hole card because it has a house edge of 2 to
15%, depending on number of decks used and visible 10-cards [1]. Essentially, taking insurance amounts to betting that the dealer's hole card is a ten or face card.
Since in an infinite deck, 4/13 of the cards are tens or face cards, an unbiased insurance wager would actually pay 9:4, or
2.25:1; since the bet only pays 2:1, the house has a strong advantage. However, if the player has been counting cards, he may
know that more than a third of the deck is ten-value cards, in which case insurance becomes a good bet.
If a player has a natural (an ace and a ten or face-card) and the dealer is showing an ace, the dealer usually asks the player
"Even money?" instead of offering insurance. If the player accepts the offer, he is immediately paid 1:1 for his natural,
regardless of whether the dealer has blackjack. Thus, accepting "even money" has exactly the same payout as buying insurance: if
the dealer does not have blackjack, the player would forfeit the insurance bet and win 3:2 on the natural, thus receiving a net
payout equal to the original bet; if the dealer does have blackjack, the player would push on the natural and win 2:1 on the
insurance wager, again receiving a net payout equal to the original bet. Since taking "even money" is equivalent to buying
insurance, it is likewise a bad choice for the player, unless he has been counting cards and knows the deck has an unusually high
proportion of ten-value cards.
In casinos where a hole card is dealt, a dealer who is showing a card with a value of Ace or 10 may slide the corner of
his or her facedown card over a small mirror or electronic sensor on the tabletop in order to check whether he has a natural.
This practice minimizes the risk of inadvertently revealing the hole card, which would give the sharp-eyed player a considerable
advantage.
Basic strategy
Because blackjack has an element of player choice, players can reduce casino advantage to less than 1% by playing optimally.
The complete set of optimal plays is known as basic strategy. There are slight variations depending on the house rules and
number of decks.
| Your hand |
Dealer's face-up card |
| 2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
A |
| Hard totals |
| 17-20 |
S |
S |
S |
S |
S |
S |
S |
S |
S |
S |
| 16 |
S |
S |
S |
S |
S |
H |
H |
SU |
SU |
SU |
| 15 |
S |
S |
S |
S |
S |
H |
H |
H |
SU |
H |
| 13-14 |
S |
S |
S |
S |
S |
H |
H |
H |
H |
H |
| 12 |
H |
H |
S |
S |
S |
H |
H |
H |
H |
H |
| 11 |
Dh |
Dh |
Dh |
Dh |
Dh |
Dh |
Dh |
Dh |
Dh |
H |
| 10 |
Dh |
Dh |
Dh |
Dh |
Dh |
Dh |
Dh |
Dh |
H |
H |
| 9 |
H |
Dh |
Dh |
Dh |
Dh |
H |
H |
H |
H |
H |
| 5-8 |
H |
H |
H |
H |
H |
H |
H |
H |
H |
H |
| Soft totals |
|
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
A |
| A,8 A,9 |
S |
S |
S |
S |
S |
S |
S |
S |
S |
S |
| A,7 |
S |
Ds |
Ds |
Ds |
Ds |
S |
S |
H |
H |
H |
| A,6 |
H |
Dh |
Dh |
Dh |
Dh |
H |
H |
H |
H |
H |
| A,4 A,5 |
H |
H |
Dh |
Dh |
Dh |
H |
H |
H |
H |
H |
| A,2 A,3 |
H |
H |
H |
Dh |
Dh |
H |
H |
H |
H |
H |
| Pairs |
|
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
A |
| A,A |
SP |
SP |
SP |
SP |
SP |
SP |
SP |
SP |
SP |
SP |
| 10,10 |
S |
S |
S |
S |
S |
S |
S |
S |
S |
S |
| 9,9 |
SP |
SP |
SP |
SP |
SP |
S |
SP |
SP |
S |
S |
| 8,8 |
SP |
SP |
SP |
SP |
SP |
SP |
SP |
SP |
SP |
SP |
| 7,7 |
SP |
SP |
SP |
SP |
SP |
SP |
H |
H |
H |
H |
| 6,6 |
SP |
SP |
SP |
SP |
SP |
H |
H |
H |
H |
H |
| 5,5 |
Dh |
Dh |
Dh |
Dh |
Dh |
Dh |
Dh |
Dh |
H |
H |
| 4,4 |
H |
H |
H |
SP |
SP |
H |
H |
H |
H |
H |
| 2,2 3,3 |
SP |
SP |
SP |
SP |
SP |
SP |
H |
H |
H |
H |
The above is a basic strategy table for 3 or more decks, dealer stands on soft 17, double on any 2 cards, double after split
allowed, dealer peeks for blackjack, and blackjack pays 3:2. Key:
- S = Stand
- H = Hit
- Dh = Double (if not allowed then hit)
- Ds = Double (if not allowed then stand)
- SP = Split
- SU = Surrender (if not allowed, then hit)
Most Las Vegas strip casinos hit on soft 17. This rule change requires a slightly modified basic strategy table -- double on
11 vs A, double on A/7 vs 2, and double on A/8 vs 6. Most casinos outside of Vegas still stand on soft 17.
[citation needed]
Card counting
-
Basic strategy provides the player with the optimal play for any blackjack situation based on millions of hands played in the
long run. However in the short run, as the cards are dealt from the deck, the remaining deck is no longer complete. By keeping
track of the cards that have already been played, it is possible to know when the cards remaining in the deck are advantageous
for the player.
Card counting creates two opportunities:
- The player can make larger bets when he or she has the advantage. For example, the player can increase the starting bet if
there are many aces and tens left in the deck, in the hope of hitting a blackjack.
- The player can use information about the remaining cards to improve upon the basic strategy rules for specific hands played.
For example, with many tens left in the deck, the player may double down in more situations since there is a better chance of
making a strong hand.
Virtually all card counting systems do not require the player to remember which cards have been played. Rather, a point system
is established for the cards, and the player keeps track of a simple point count as the cards are played out from the dealer.
Depending on the particular blackjack rules in a given casino, basic strategy reduces the house advantage to near 0 with some
single-deck games, and less than one percent in a multi-deck game.[2] Card counting, if done correctly, can give the player an advantage in the other direction, typically
ranging from 0 to 2% over the house.[3] To counter card
counting, many casinos switched from a single deck to multiple decks, with the cards dealt out of a container known as a
"shoe".
In most US jurisdictions, card counting is legal and is not considered cheating.[4] However, most casinos have the right to ban players, with or without cause, and card counting is
frequently used as a justification to ban a player. Usually, the casino host will simply inform the player that he is no longer
welcome to play at that casino. Players must be careful not to signal the fact that they are counting. The use of electronic or
other counting devices is usually illegal.
Composition-dependent strategy
Basic strategy is based on a player's point total and the dealer's visible card. A player's ideal decision may depend on the
composition of his or her hand, not just the information considered in the basic strategy. For example, a player should
ordinarily stand when holding 12 against a dealer 4. However, in a single deck game, the player should hit if his or her 12
consists of a 10 and a 2; this is because the player wants to receive any card other than a 10 if hitting, and the 10 in the
player's hand is one less card available to cause a bust for the player or the dealer.[5]
However, in situations where basic and composition-dependent strategy lead to different actions, the difference in expected
value between the two decisions will be small. Additionally, as the number of decks used in a blackjack game rises, both the
number of situations where composition determines the correct strategy and the house edge improvement from using a
composition-dependent strategy will fall. Using a composition-dependent strategy only reduces house edge by 0.0031% in a six-deck
game, less than one tenth the improvement in a single-deck game (0.0387%).[6]
Shuffle tracking
Techniques other than card counting can swing the advantage of casino blackjack towards 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. Thorp. [citation needed] One technique, mainly applicable in multi-deck games, involves tracking
groups of cards (aka slugs, clumps, packs) during the play of the shoe, following them through the shuffle and then playing and
betting accordingly when those cards come into play from the new shoe. This technique, which is admittedly much more difficult
than straight card counting and requires excellent eyesight and powers of visual estimation, has the additional benefit of
fooling the casino people who are monitoring the player's actions and the count, since the shuffle tracker could be, at times,
betting and/or playing opposite to how a straightforward card counter would. [citation needed]
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. Jerry L. Patterson
also developed and published a shuffle-tracking method for tracking favorable clumps of cards and cutting them into play and
tracking unfavorable clumps of cards and cutting them out of play. [7] [8] [9] Other legal methods of gaining a player advantage at blackjack include a wide
variety of techniques for gaining information about the dealer hole-card or the next card to be dealt.
Variants
Pontoon is an English variation of blackjack with significant rule and strategy differences. However, in Australia and
Malaysia, Pontoon is an unlicensed version of the American game Spanish 21 played without a hole card; despite the name, it bears no relation to English Pontoon.
Spanish 21 provides players with many liberal blackjack rules, such as doubling down any
number of cards (with the option to 'rescue', or surrender only one wager to the house), payout bonuses for five or more card
21's, 6-7-8 21's, 7-7-7 21's, late surrender, and player blackjacks always winning and player 21's always winning, at the cost of
having no 10 cards in the deck (though there are jacks, queens, and kings).
21st Century Blackjack (also known as "Vegas Style" Blackjack) is commonly found in many
California card rooms. In this form of the game, a player bust does not always result in an automatic loss; there are a handful
of situations where the player can still push if the dealer busts as well, provided that the dealer busts with a higher
total.
Certain rules changes are employed to create new variant games. These changes, while attracting the novice player, actually
increase the house edge in these games. Double Exposure Blackjack is a variant
in which the dealer's cards are both face-up. This game increases house edge by paying even
money on blackjacks and players losing ties. Double Attack Blackjack has
very liberal blackjack rules and the option of increasing one's wager after seeing the dealer's up card. This game is dealt from
a Spanish shoe, and blackjacks only pay even money.
The French and German variant "Vingt-et-un" (Twenty-one) and "Siebzehn und Vier" (Seventeen and Four) don't include splitting.
An ace can only count as eleven, but two aces count as a Blackjack. This variant is seldom found in casinos, but in private
circles and barracks. Card Strategy 2 3 4 5 6 7 8 9 10 J Q K A KO 1 1 1 1 1 1 0 0 -1 -1 -1 -1 -1 Hi-Lo 1 1 1 1 1 0 0 0 -1 -1 -1
-1 -1 Hi-Opt I 0 1 1 1 1 0 0 0 -1 -1 -1 -1 0 Hi-Opt II 1 1 2 2 1 1 0 0 -2 -2 -2 -2 0 Zen Count 1 1 2 2 2 1 0 0 -2 -2 -2 -2 -1
Omega II 1 1 2 2 2 1 0 -1 -2 -2 -2 -2 0
Chinese Blackjack is played by many in Asia, having no splitting of cards, but with
other card combination regulations.
Another variant is Blackjack Switch, a version of blackjack in which a player is
dealt two hands and is allowed to switch cards. For example, if the player is dealt 10-6 and 10-5, then the player can switch two
cards to make hands of 10-10 and 6-5. Natural blackjacks are paid 1:1 instead of the standard 3:2, and a dealer 22 is a push.
Recently, thanks to the popularity of poker, Elimination Blackjack has begun to
gain a following. Elimination Blackjack is a tournament format of blackjack.
Many casinos offer optional side bets at standard blackjack tables. For example, one common side-bet is "Royal Match", in
which the player is paid if his first two cards are in the same suit, and receives a higher payout if they are a suited queen and
king (and a jackpot payout if both the player and the dealer have a suited queen-king hand). These side bets invariably offer
worse odds than well-played blackjack.
Blackjack Hall of Fame
-
In 2002, professional gamblers around the world were invited to nominate great blackjack players for admission into the
Blackjack Hall of Fame. Seven members were inducted in 2002, with new inductees
every year afterwards. The physical hall of fame is located at the Barona Casino in
San Diego, California. Members include Edward O.
Thorp, author of the 1960s book Beat the Dealer which proved that the game could be beaten with a combination of
basic strategy and card counting; Ken Uston, who
popularized the concept of team play; Arnold Snyder, author and editor of the
Blackjack Forum trade journal; Stanford
Wong, author and popularizer of the "Wonging" technique of only playing at a positive count, and several others.
Notes
- ^ Blackjack Insurance Exceptions
- ^ Rules & House Edge Table
- ^ Theory of Blackjack, p. 5
- ^ Theory of Blackjack, pp 6-7
- ^ The Wizard of Odds. Fine points of basic strategy in single-deck blackjack.
Retrieved on December 8, 2006.
- ^ The Wizard of Odds. Total Dependent and Composition Dependent Basic Strategy in
Blackjack. Retrieved on December 19, 2006.
- ^ The Gambling Times Guide to Blackjack; Gambling Times Incorporated,
Hollywood, CA; © 1984; Page 110; ISBN 0-89746-015-4 Shuffle-Tracking An Easy Way to Start ]
- ^ Break the Dealer; by Jerry L. Patterson and Eddie Olsen; Perigee
Books; A Division of Penguin Putnam; © 1986; ISBN 0-399-51233-0 Shuffle-Tracking; Chapter 6, Page 83]
- ^ Blackjack: A Winner’s Handbook; by Jerry L. Patterson; Perigee
Books; A Division of Penguin Putnam; © 1990; ISBN 0-399-51598-4 Shuffle-Tracking; Chapter 4, Page 51]
Sources
- Beat the Dealer : A Winning Strategy for the Game of Twenty-One, Edward O.
Thorp, 1966, ISBN 978-0-394-70310-7
- Blackbelt in Blackjack, Arnold Snyder, 1998 (1980), ISBN 978-0-910575-05-8
- Blackjack: A Winner’s Handbook, Jerry L. Patterson, 2001, (1978), ISBN
0-399-52638-8
- Ken Uston on Blackjack, Ken Uston, 1986, ISBN 978-0-8184-0411-5
- Knock-Out Blackjack, Olaf Vancura and Ken Fuchs, 1998, ISBN 978-0-929712-31-4
- Luck, Logic, and White Lies: The Mathematics of Games, Jörg Bewersdorff, 2004, ISBN 978-1-56881-210-6, 121-134
- Million Dollar Blackjack, Ken Uston, 1994 (1981), ISBN 978-0-89746-068-2
- Playing Blackjack as a Business, Lawrence Revere, 1998 (1971), ISBN
978-0-8184-0064-3
- Professional Blackjack, Stanford Wong, 1994 (1975), ISBN 978-0-935926-21-7
- The Theory of Blackjack, Peter Griffin, 1996 (1979), ISBN 978-0-929712-12-3
- The Theory of Gambling and Statistical Logic, Richard A. Epstein, 1977, ISBN 978-0-12-240761-1, 215-251
- The World's Greatest Blackjack Book, Lance Humble and Carl Cooper, 1980, ISBN 978-0385153829
Regulation in the United Kingdom
External links
Blackjack calculators
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