Black Jack Ace

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  3. Black Jack Ace Value
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According to one very popular estimate, a player who knows when an ace will be dealt as the first card in their new blackjack hand gains a 50.4% advantage over the dealer. That estimate includes the other popular estimate that a player has a nearly 31% chance to draw a blackjack or there is a high probability for the player to make a strong hand with any other total. Related products. 5 Bullet Pack – Blackjack 131 grain ACE Match Bullet (5 ct) $ 8.50 Read more Blackjack 131 grain ACE Match Bullet 1,000 ct $ 379.00 Add to cart Sample Pack – Blackjack 131 grain ACE Match Bullet (20 ct). Many people believe that blackjack takes its name from combining a black (the suit being either a spade or club) ace and jack. However, it’s been claimed by a French card historian, Thierry Depaulis, that the name is a reference to zinc blende, a mineral linked to silver and gold deposits that is also known as black-jack.

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Two aces and two eights in a standard deck of playing cards.

Splittingaces and eights is part of blackjackbasic strategy. Rules vary across gambling establishments regarding resplitting, doubling, multiple card draws, and the payout for blackjack, and there are conditional strategic responses that depend upon the number of decks used, the frequency of shuffling and dealer's cards. However, regardless of the various situations, the common strategic wisdom in the blackjack community is to 'Always split aces and eights' when dealt either pair as initial cards.[1] This is generally the first rule of any splitting strategy.[2]

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Splitting[edit]

The object of blackjack is for a player to defeat the dealer by obtaining a total as close to 21 as possible without accumulating a total that exceeds this number.[3] In blackjack, the standard rule is that if the player is dealt a pair of identically ranked initial cards, known as a pair, the player is allowed to split them into separate hands and ask for a new second card for each while placing a full initial bet identical to the original wager with each. After placing the wager for the split hands the dealer gives the player an additional card for each split card. The two hands created by splitting are considered independently in competition against the dealer.[4][5] Splitting allows the gambler to turn a bad hand into one or two hands with a good possibility of winning. It also allows the player to double the bet when the dealer busts.[2] Some rules even allow for resplitting until the player has as many as four hands[4] or allow doubling the bet after a split so that each hand has a bet double the original.[6][7] The standard rules are that when a bet is doubled on a hand, the player is only allowed to draw one more card for that hand.[8][9]

Aces[edit]

A pair of aces gives the blackjack player a starting hand value of either a 2 or a soft 12 which is a problematic starting hand in either case.[2][10] Splitting aces gives a player two chances to hit 21.[11] Splitting aces is so favorable to the player that most gambling establishments have rules limiting the player's rights to do so.[2][10] In most casinos the player is only allowed to draw one card on each split ace.[8][10] As a general rule, a ten on a split ace (or vice versa) is not considered a natural blackjack and does not get any bonus.[6] Prohibiting resplitting and redoubling is also common.[2] Regardless of the payout for blackjack, the rules for resplitting, the rules for doubling, the rules for multiple card draws and the dealer's cards, one should always split aces.[10][12][13]

Eights[edit]

Black

If a player is dealt a pair of eights, the total of 16 is considered a troublesome hand. In fact, the value 16 is said to be the worst hand one can have in blackjack.[10] Since sixteen of the other fifty cards have a value of 10 and four have a value of 11, there is a strong chance of getting at least an 18 with either or both split cards. A hand totaling 18 or 19 is much stronger than having a 16.[6] Splitting eights limits one's losses and improves one's hand.[10][11][12] Probabilistic research of expected value scenarios shows that by splitting eights one can convert a hand that presents an expected loss to two hands that may present an expected profit or a reduced loss, depending on what the dealer is showing.[14] A split pair of eights is expected to win against dealer upcards of 2 through 7 and to lose less against dealer upcards of 8 through ace.[15] If a player hits on a pair of eights, he is expected to lose $52 for a $100 bet. If the player splits the eights, he is expected to lose only $43 for a $100 bet.[16]

History[edit]

Blackjack's 'Four Horsemen' (Roger Baldwin, Wilbert Cantey, Herbert Maisel and James McDermott), using adding machines, determined that splitting eights was less costly than playing the pair of eights as a 16.[17] They were part of a 1950s group that discovered that strategy could reduce the house edge to almost zero in blackjack.[18] Now a typical strategy involves the following sequence of playing decisions: one decides whether to surrender, whether to split, whether to double down, and whether to hit or stand.[19]

One of the earliest proponents of the strategy of splitting eights is Ed Thorp, who developed the strategy on an IBM 704 as part of an overall blackjack strategic theory published in Beat the Dealer: A Winning Strategy for the Game of Twenty-One in 1962.[18][20][21] Thorp was the originator of the card counting system for blackjack.[18]

Notes[edit]

  1. ^Gros, p. 60
  2. ^ abcdeOrtiz, p. 56
  3. ^Gros, p. 48
  4. ^ abGros, p. 51
  5. ^Jensen, pp. 22–23
  6. ^ abcSchneider, p. 47
  7. ^Gros, p. 52
  8. ^ abSchneider, p. 49
  9. ^Gros, p. 50
  10. ^ abcdefJensen, p. 53
  11. ^ abJensen, p. 56
  12. ^ abHagen and Wiess, pp. 68
  13. ^Schneider, p. 48
  14. ^Hagen and Wiess, pp. 66–67
  15. ^Scoblete, Frank. 'Why Splitting Eights At Blackjack Is An Iron Clad Rule'. Golden Touch Craps. Retrieved 24 July 2009.
  16. ^Tamburin, Henry (25 October 1999). 'Splitting Aces and Eights'. Casino city Times. Retrieved 24 July 2009.
  17. ^Snyder, Arnold (2005). 'Blackjack Basic Strategy: Aces and Eights'. Player Magazine (republished).
  18. ^ abcGros, p. 44
  19. ^Jensen, p. 51
  20. ^Thorpe, Beat the Dealer as cited in Snyder, Arnold citation below
  21. ^Levinger, Jeff (10 February 1961). 'Thorpe, 704 Beat Blackjack'(PDF). The Tech. Retrieved 30 May 2009.

References[edit]

Black Jack Ace
  • Dunki-Jacobs, Frits. Betting on Blackjack: A non-counter’s Breakthrough Guide to Making Profits at the Tables. Adams Media. pp. 28–34. ISBN1-58062-951-2.
  • Gros, Roger. The Winner's Guide To Casino Gambling. Carlton Books Limited. pp. 44–69. ISBN1-85868-899-X.
  • Hagen, Tom & Sonia Weiss (2005). The Everything Blackjack Strategy Book: Surefire ways to beat the house every time. Adams Media. pp. 66–68. ISBN1-59337-306-6.
  • Jensen, Marten (2003). Beat Multiple Deck Blackjack. Cardoza Publishing. pp. 22–23, 51–56. ISBN1-58042-069-9.
  • Ortiz, Darwin. Casino Gambling For The Clueless. Carol Publishing Group. pp. 55–59. ISBN0-8184-0609-7.
  • Schneider, Meg Elaine. The Everything Casino Gambling Book (2nd ed.). Adams Media. pp. 47–49. ISBN1-59337-125-X.
  • Thorp, Ed (1966). Beat the Dealer: A Winning Strategy for the Game of Twenty-One. Vintage. ISBN0-394-70310-3.
Retrieved from 'https://en.wikipedia.org/w/index.php?title=Aces_and_eights_(blackjack)&oldid=943811612'

In order to understand how the best strategy is computed, lets have a look at the Blackjack rules. Blackjack is played with 1 to 9 decks of 52 cards each. The values of the cards correspond to their numerical value from 2-10. All face cards (Jack, Queen, King) count 10 and the Ace either 1 or 11, as the holders desires. A score with an ace valued as 11 is named soft-hand. A soft-hand score of 17 is denoted as 7/17.

The color of the cards does not have any effect.

The goal of the game is to reach a score (=sum of the cards) as high as possible but not more than 21. A Blackjack (Ace and a card whose value is 10) beats all other combination of cards. If the final sum is higher than the sum of the dealer, the player gets a play-off of 1:1 of his initial stake. If the players combination is Blackjack, the play-off is 3:2 of the initial stake. If the sum of the dealer is higher, the player loses his bet. If the sum is equal, then nobody wins. If the player holds a score of 22 or more, he busted and thus he loses his bet immediately. If the dealer busts, the players wins independently of his final score.

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Blackjack can be played from one to seven players against one dealer. The dealer shuffles the cards. Now all the players must place their bets. Then each player and the dealer receives one card. The cards all lie face up. Thereafter the player receive a second card. The player now can continue to buy further cards, one by one, until he believes that he is near enough to 21. If the player believes to have reached a score high enough he must signalize the dealer to stay, which means not to ask for any further card.

Doubling down

The player has some more possibility's other than buy and stay. If he reached a score of nine, ten or eleven with his first two cards, he can double his bet. However if he does so, he will be dealt only one more card.

Splitting

If the first two cards are of the same value, the player has the possibility to split his hand, which means that each of the cards are used to start with a separate bet. For each split hand, an additional bet equal to the first is required. There is one exception: If the player splits two Aces, he receives only one more card and in such a case a score of 21 is not considered as Blackjack.

Dealers turn

Jack

Black Jack Ace Value

Once the last player has decided to stay with his score, the dealer starts to draw a second card. If his result is reaching a score of 17 or more, he will deal himself no further cards. If the dealer has a score of 16 or less, he must draw until he has reached 17 or more. If the dealer exceeds 21, he busts. This is the basic knowledge You have: The dealer can not split nor double; he must play according to strict rules: Dealer must stand on all 17. That's the players advantage! On the other side, if both the player and the dealer busts, these scores are not considered as equal and the player looses his stake. That's the dealers advantage!

How to compute the correct strategy

Casino blackjack rules

The analyst sees the shoe as black box which computes him a probability for drawing a card of a certain value. Say we have 6 decks of 52 cards, so the probability of drawing an Ace is 6*4/6*52 = 24/312 = 7.7%. The probability of drawing a second Ace without reshuffle is 23/311 = 7.4% and so on. As the game goes on without reshuffle, the probabilities to draw certain cards will raise or decline, depending on which cards have gone in the past. From our point of view the shoe behaves like a wheel of fortune with varying distances between the nails.

The first thing to do, is to calculate the probabilities of the dealers last hand. This computation is straight forward as the dealer has no way of doing any decision. So it is quit easy to find out the probabilities of his final score.

Ace

The next thing is to find out the probabilities of what would be if ... . If the players score is 16, what's the probability of achieving 17, 18, 19, 20, 21 or busting. Probabilities also have to be calculated for splitting and doubling.

Because the player knows the dealers first hand before deciding what to do, he can compare the probabilities of the dealers last hand against the probabilities of possible final scores for each intermediate score he has. With this comparison, winning expectations can be calculated, gaining information about the best playing strategy.

Knowing the best playing strategy and knowing the probabilities for each final score, the dealer and the player will reach, the total expectation can be calculated. The total expectation is the magic number playing Blackjack. If it is below zero the player has to place minimum bets as with this card distribution he will lose on the long term. If however the total expectation is above zero (unfortunately thats quite rare) the player has to place high bets.

Interpret the strategy tables

For each decision a player can do the best strategy can be computed. There are 20 possible conditions where the player has to take decisions. These are:

  • Buy or stay if the score is 12, 13, 14, 15, 16, 7/17 or 8/18.
  • Double or buy, if the sum of the first two cards is 9, 10 or 11.
  • Split, buy or stay, if the first two cards have the same value.

All these decisions depend upon the dealers first card, making a total of 200. There are some fundamental rules, which never change and must always be obeyed:

  • Alway buy if the score is below 12.
  • Always buy if the score is below or equal to 7/17. With a soft hand You can't bust, so there is no reason to stay if the score is 17 or less.
  • Never buy if the score is 17 or higher.
  • Never split 5-5. A score of 10 is a good point to start with, so use it.
  • Never split X-X. A score of 20 is too good, to take any further risks.
  • Never ever double a Blackjack.

For other decisions consult the expectation and probability tables computed on the Blackjack strategy pages.

Stakes height

Casino Blackjack Rules

The stake has to be placed before the player can see the dealers first card. So during that decision, very little information is available. The only information the player here, is the total expectation for the current card distribution in the shoe. If this is above zero, he shall place high bets.