Suppose that you are playing blackjack against the dealer. In a freshly shuffled deck (standard $52$ cards), what is the probability that neither of you are dealt a blackjack. Splitting aces and eights is part of blackjack basic 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.
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Introduction
Basic strategy blackjack players sometimes ask me for a simple way to overcome the small house edge in blackjack, with little worry over being recognized as a card counter. This is often done with the motive of milking the casinos for comps and offers. What follows is, in my opinion, the easiest card counting strategy to achieve the above goal and still put the odds in the player's favor.
How It Works
- Establish what your minimum and maximum bets will be. Usually the maximum will be 8, 16, or 32 times the minimum bet, or any power of 2, but you can use whatever bet spread you wish.
- At the beginning of each shoe, start with your minimum bet, and a count of zero.
- For each five observed, add one to the count.
- For each ace observed, subtract one from the count.
- If the count is greater than or equal to two, then double your last bet, up to your maximum bet.
- If the count is less than or equal to one, then make the minimum bet.
- Use basic strategy for all playing decisions.
This strategy was designed to be most effective on a six- or eight-deck game. I recommend playing only on games with liberal Strip rules, which are as follows:
- 4-8 decks
- Blackjack pays 3 to 2
- Dealer stands on soft 17
- Double after split allowed
- Late surrender allowed
- Re-splitting aces allowed
- 75%+ penetration
Such games are easy to find in Las Vegas, although sometimes a higher minimum bet is required. In the low-roller pits, the dealer will usually hit on a soft 17, which is bad, costing the player 0.22%.
Simulation Results
The following results were provided by Norm Wattenberger using his Casino Vérité software. The rules above were used, with six decks, and 75% penetration. In my opinion, Casino Vérité is the most robust and accurate blackjack simulation software on the market. It can be used to test just about any card counting strategy under any set of rules and conditions.
Ace/Five Count Statistics
| Spread | Player Advantage | Average Initial Bet | SCORE |
|---|---|---|---|
| 1-8 | 0.30% | 2.7 | 3.1 |
| 1-16 | 0.45% | 4.2 | 5.3 |
| 1-32 | 0.57% | 7.1 | 6.5 |
SCORE is an acronym, coined by Don Schlesinger, for Standardized Comparison Of Risk and Expectation. It is defined as the advantage squared divided by the variance. The SCORE may also be interpreted as the expected hourly win per hand for a player with a $10,000 bankroll, who sizes his bets according to the Kelly Criterion, to achieve a 13.5% risk of ruin. As a basis of comparison, a Hi-Lo counter, with a 1 to 8 spread, under the same rules, has a SCORE of 8.40, compared to the 3.1 of the Ace/Five count.
Source: 'Blackjack Attack,' third edition by Don Schlesinger.
Earlier Strategies
After publishing this section, somebody accused me of stealing the idea from Edward Thorp. Indeed, in 1969 Thorp did discuss a similar strategy in his book 'Beat the Dealer,' in the fourth chapter titled 'A Winning Strategy.' The difference is that Thorp's strategy tracks fives remaining against total cards remaining. Later, in 1971, Lawrence Revere published a similar strategy as Thorp's in 'Playing Blackjack as a Business,' chapter 7 titled 'The Revere Five Count Strategy.'
Practice
Practice your card counting skills with our trainer.
Acknowledgments
- Norm Wattenberger: For the simulation results, using his Casino Vérité software.
- Don Schlesinger: For his many edits to this page.
Written by: Michael Shackleford
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]
- 1Splitting
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]
Ace Blackjack 21 Cider
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]
In Blackjack What Is The Red Card Do
Eights[edit]
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]
- ^Gros, p. 60
- ^ abcdeOrtiz, p. 56
- ^Gros, p. 48
- ^ abGros, p. 51
- ^Jensen, pp. 22–23
- ^ abcSchneider, p. 47
- ^Gros, p. 52
- ^ abSchneider, p. 49
- ^Gros, p. 50
- ^ abcdefJensen, p. 53
- ^ abJensen, p. 56
- ^ abHagen and Wiess, pp. 68
- ^Schneider, p. 48
- ^Hagen and Wiess, pp. 66–67
- ^Scoblete, Frank. 'Why Splitting Eights At Blackjack Is An Iron Clad Rule'. Golden Touch Craps. Retrieved 24 July 2009.
- ^Tamburin, Henry (25 October 1999). 'Splitting Aces and Eights'. Casino city Times. Retrieved 24 July 2009.
- ^Snyder, Arnold (2005). 'Blackjack Basic Strategy: Aces and Eights'. Player Magazine (republished).
- ^ abcGros, p. 44
- ^Jensen, p. 51
- ^Thorpe, Beat the Dealer as cited in Snyder, Arnold citation below
- ^Levinger, Jeff (10 February 1961). 'Thorpe, 704 Beat Blackjack'(PDF). The Tech. Retrieved 30 May 2009.
References[edit]
- 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.
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