Provided you’re sticking to card counting, hole carding, and other legitimate – and legally protected – advantage play methods, there’s no reason to consider counting taboo. But as the movie 21 made clear, counting as a lone wolf is far less effective than playing as part of a team. The name of the game in card counting is turning blackjack into a positive expectation game. Peter Griffin’s book “The Theory of Blackjack” worked out some numbers pertinent to card counters. Using standard Las Vegas rules and a basic High-Low card counting system, a player’s advantage with perfect strategy when the count is zero is -0.56%.
Moreover, the amount of variance in Blackjack means that card counting can prove a fruitful method only in the long run, after hundreds of hours of play. With that in mind, let’s begin. Initially introduced in the distant 1963, the Hi-Lo card counting is the most efficient. Instead, there are a number of card counting systems that use whole numbers that remain constant throughout the counting process to provide an estimation of the advantage. The accuracy of their estimation often comes at the cost of increased complexity, hence difficulty to learn and implement. Here are some of the more popular card counting.
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Intro
Though in online cribbage you don't need to score manually the counting your cribbage hand correctly is a very important part of the game of Cribbage. Moreover, you can select the 'Manual' option or play non-online cribbage with Muggins variation. Muggins is when a person misses points and the other person takes them. To simplify calculation, order your cribbage hand left to right from low cards to high. Of course, in online cribbage it is done already.
In explanation below we use card notation of all our card games, 'Suit Value', DJ means Jack of Diamonds, S0 means 10 of Spades etc.
The Scoring points
Let's recall cribbage scoring, rules and the the combinations that give points:
15: Any combination of cards adding up to 15 pips scores 2 points. For example king, jack, five, five would count 8 points (four fifteens as the king and the jack can each be paired with either five). This combination would be marked as fifteen: 8.
Pair: A pair of cards of the same rank score 2 points. Three cards of the same rank contain 3 different pairs and thus score a total of 6 points for pair royal. Four of a kind contain 6 pairs and so score 12 points.
Run: Three cards of consecutive rank (irrespective of suit), such as ace-2-3, score 3 points for a run. A hand such as 6-7-7-8 contains two runs of 3 (as well as two fifteens and a pair) and so would score 12 altogether. A run of four cards, such as 9-10-J-Q scores 4 points (this is slightly illogical - you might expect it to score 6 because it contains two runs of 3, but it doesn't. The runs of 3 within it don't count - you just get 4), and a run of five cards scores 5.
Flush: If all four cards of the hand are the same suit, 4 points are scored for flush. If the start card is the same suit as well, the flush is worth 5 points. There is no score for having 3 hand cards and the start all the same suit. Note also that there is no score for flush during the play - it only counts in the show.
One For His Nob: If the hand contains the jack of the same suit as the start card, you peg One for his nob.
Cribbage hand scoring order
In general the best approach is to count your 15's, then pairs, then runs, then Nobs, then finally flushes. The same approach we use on checking your hands on our servers and gaming program.
Counting 15s in hand
It is a good idea to remember 3 typical pairs, that give you 15 in total
i.e. 7+8, 6+9, 5+10
If you do not see the above template pairs, but have at least one card from such pairs, you can try to find 3-card combinations to complete the sum to 15 with using the same pattern. For example
See, we have one card from the above pairs and form the other card as a sum of 2 cards (D3+S4 will give 7). To go futher we can extend this method to 4 and 5 cards. If you cannot find 7s, 8s, or 9s or Try to sum any 2 cards to get
Repeat your search not to omit any combination. Start from the bigger value cards and try to gather 15 to it. For example:
HQ and DA+S4, D8 and DA+C2+S4
Some cribbage hands cause confusion for people who forget about the low cards in the hand - they can be added to other cards in hand to form the 'seed' 7s, 8s, or 9s. Example:
S8 and H7, S8 and C6+DA, S8 and C6+CA, and the last one - H7 and C6+DA+CA will give you 8 points on 15s. As for this example, there is also a pair of Aces (2 points) and a run 6,7,8 (3 points) - total 13.
The next confusing cribbage hand type for 15s counting is a hand contaning many pairs. For example
We see, that here we can form pattern '7+8'. Just start from every high value card and search for all the others. C8 and C6+DA, C8 and H6+DA, S8 and C6+DA, S8 and H6+DA, 8 points for 15s (and 4 for two pairs). So each card pair simply doubles the initial combination 8,6,A. You will see the same rule later in runs counting.
Counting pairs in hand
It's quite simple, just not to forget to count a pair in your hand after difficult 15s scoring. Remember, that all cards above 10 (J,Q,K) have the same value 10 in cribbage and result a pair in any combination. Also, the royal pair (3 cards of the same rank) can be imagined as 3 simple pairs and thus give the score of 3 pairs, i.e. 2 * 3 = 6 points. The same is for Four of a kind - (4 cards of the same rank) - it is 6 simple pairs, that gives you 2 * 6 = 12 points.
Scoring runs in hand
There is a simple rule for runs in cribbage - how many cards run has - the same number of points you gets. So that single run counting is easy. Some more complicated run is a double run - sometimes people just learning the game don't really understand how a double run works. The idea is that you can count each completely different set of cards that be combined for a run.
2,3,4 is a run, but you have here H2 and C2, so that, each of them gives you a separate run of 3 cards. You can remember here our rule that each pair in the combination doubles its score points. Run H2,S3,D4 gives 3 points, run C2, S3, D4 gives another 3 points. To use this hand completely let's recount it, first 15s: S9 and D4+H2, S9 and D4+C2 (9-6 pattern) - 4 points for 15s. A pair H2C2 - 2 points, 6+4+2 = 12 points in your hand. Remember, that such a double-run with the lenght of 3 cards gives 8 points automatically - 6 for runs and 2 for the pair
A double-double run (always involves all 5 cards in hand - 4 plus a starter card) itself is worth 16 points, you get 4 times of 3 points = 12 for the runs and 4 for two pairs
After detecting a double-double run you should concentrate on 15s, having in mind, that 16 points is a standard sum for the double-double run total. In the above example we also have 2 extra points for 15s - sum all the cards in your hand (7+8 pattern).
Scoring flushes
Flushes can give 4 or 5 points - again, on the number of cards in it. 4 points for all four cards in your hand of the same suit and 5 points, if a starter card has the same suit. If you have only 3 cards in your hand of one suit and a starter card of the same suit it will NOT be a flush. Example:
It would be a co-called bust hand, but we have one suit for all the cards, so it worth 5 poitns.
Scoring Nobs
Pay attention to Jacks in your hand, one of them can give you one extra point if the starter card has the same suit. Let's modify the previous example a little:
Here we do not have flush now, but with the Hearts suit of the starter HA and a Jack of Hearts in our hand give us 1 point.
The MIT Blackjack Team was a group of students and ex-students from the Massachusetts Institute of Technology, Harvard University, and other leading colleges who used card counting techniques and more sophisticated strategies to beat casinos at blackjack worldwide. The team and its successors operated successfully from 1979 through the beginning of the 21st century. Many other blackjack teams have been formed around the world with the goal of beating the casinos.
Blackjack can be legally beaten by a skilled player. Beyond the basic strategy of when to hit and when to stand, individual players can use card counting, shuffle tracking, or hole carding to improve their odds. Since the early 1960s, a large number of card counting schemes have been published, and casinos have adjusted the rules of play in an attempt to counter the most popular methods. The idea behind all card counting is that, because a low card is usually bad and a high card usually good, and as cards already seen since the last shuffle cannot be at the top of the deck and thus drawn, the counter can determine the high and low cards that have already been played. They thus know the probability of getting a high card (10,J,Q,K,A) as compared to a low card (2,3,4,5,6).
In 1979, six MIT students and residents of the Burton-Conner House at MIT taught themselves card-counting. They traveled to Atlantic City during the spring break to win their fortune. The group went their separate ways when most of them graduated in May of that year. Most never gambled again, but some of them maintained an avid interest in card counting and remained in Cambridge, Massachusetts. Two of them, J.P. Massar and Jonathan, offered a course on blackjack for MIT's January, 1980 Independent Activities Period (IAP), during which classes may be offered on almost any subject.
In late November 1979, Dave, a professional blackjack player contacted one of the card-counting students, J.P. Massar, after seeing a notice for the blackjack course. He proposed forming a new group to go to Atlantic City to take advantage of the New Jersey Casino Control Commission's recent ruling that made it illegal for the Atlantic City casinos to ban card counters. Casinos instead have to take other countermeasures like shuffling the cards earlier than normal, using more decks of cards, or offering games with worse rules to destroy the advantage gained by counting—even though these all negatively impact the non-counter as well.[1]
The group of four players, a professional gambler, and an investor who put up most of their capital ($5,000), went to Atlantic City in late December. They recruited more MIT students as players at the January blackjack class. They played intermittently through May 1980 and increased their capital four-fold, but were nonetheless more like a loose group sharing capital than a team with consistent strategies and quality control.
In May 1980, J. P. Massar, known as 'Mr. M' in the History Channel documentary, overheard a conversation about professional blackjack at a Chinese restaurant in Cambridge. He introduced himself to the speaker, Bill Kaplan, a 1980 Harvard MBA graduate who had run a successful blackjack team in Las Vegas three years earlier. Kaplan had earned his BA at Harvard in 1977 and delayed his admission to Harvard Business School for a year, when he moved to Las Vegas and formed a team of blackjack players using his own research and statistical analysis of the game. Using funds he received on graduation as Harvard's outstanding scholar-athlete, Kaplan generated more than a 35 fold rate of return in fewer than nine months of play.[2]
Kaplan continued to run his Las Vegas blackjack team as a sideline while attending Harvard Business School but, by the time of his graduation in May 1980, the players were so 'burnt out' in Nevada they were forced to hit the international circuit. Not feeling he could continue to manage the team successfully while they traveled throughout Europe and elsewhere, encountering different rules, playing conditions, and casino practices, Kaplan parted ways with his teammates, who then splintered into multiple small playing teams in pursuit of more favorable conditions throughout the world.
After meeting Kaplan and hearing about his blackjack successes, Massar asked Kaplan if he was interested in going with a few of Massar's blackjack-playing friends to Atlantic City to observe their play. Given the fortuitous timing (Kaplan's parting with his Las Vegas team), he agreed to go in the hopes of putting together a new local team that he could train and manage.
Kaplan observed Massar and his teammates playing for a weekend in Atlantic City. He noted that each of the players used a different, and overcomplicated, card counting strategy. This resulted in error rates that undermined the benefits of the more complicated strategies. Upon returning to Cambridge, Kaplan detailed the problems he observed to Massar.
Kaplan said he would back a team but it had to be run as a business with formal management procedures, a required counting and betting system, strict training and player approval processes, and careful tracking of all casino play. A couple of the players were initially averse to the idea. They had no interest in having to learn a new playing system, being put through 'trial by fire' checkout procedures before being approved to play, being supervised in the casinos, or having to fill out detailed player sheets (such as casino, cash in and cash out totals, time period, betting strategy and limits, and the rest) for every playing session. However, their keen interest in the game coupled with Kaplan's successful track record won out.
The newly capitalised 'bank' of the MIT Blackjack Team started on 1 August 1980. The investment stake was $89,000, with both outside investors and players putting up the capital. Ten players, including Kaplan, Massar, Jonathan, Goose, and 'Big Dave' (aka 'coach', to distinguish from the Dave in the first round) played on this bank. Ten weeks later they more than doubled the original stake. Profits per hour played at the tables were $162.50, statistically equivalent to the projected rate of $170/hour detailed in the investor offering prospectus. Per the terms of the investment offering, players and investors split the profits with players paid in proportion to their playing hours and computer simulated win rates. Over the ten-week period of this first bank, players, mostly undergraduates, earned an average of over $80/hour while investors achieved an annualized return in excess of 250%.
The team often recruited students through flyers and the players' friends from college campuses across the country. The team tested potential members to find out if they were suitable candidates and, if they were, the team thoroughly trained the new members for free. Fully trained players had to pass an intense 'trial by fire,' consisting of playing through 8 six-deck shoes with almost perfect play, and then undergo further training, supervision, and similar check-outs in actual casino play until they could become full stakes players.
The group combined individual play with a team approach of counters and big players to maximize opportunities and disguise the betting patterns that card counting produces. In a 2002 interview in Blackjack Forum magazine,[3] John Chang, an MIT undergrad who joined the team in late 1980 (and became MIT team co-manager in the mid-1980s and 1990s), reported that, in addition to classic card counting and blackjack team techniques, at various times the group used advanced shuffle and ace tracking techniques. While the MIT team's card counting techniques can give players an overall edge of about 2 percent, some of the MIT team's methods have been established as gaining players an overall edge of about 4 percent.[citation needed] In his interview, Chang reported that the MIT team had difficulty attaining such edges in actual play, and their overall results had been best with straight card counting.
The MIT Team's approach was originally developed by Al Francesco, elected by professional gamblers as one of the original seven inductees into the Blackjack Hall of Fame. Blackjack team play was first written about by Ken Uston, an early member of Al Francesco's teams. Uston's book on blackjack team play, Million Dollar Blackjack, was published shortly before the founding of the first MIT team. Kaplan enhanced Francesco's team methods and used them for the MIT team. The team concept enabled players and investors to leverage both their time and money, reducing their 'risk of ruin' while also making it more difficult for casinos to detect card counting at their tables.
The MIT Blackjack Team continued to play throughout the 1980s, growing to as many as 35 players in 1984 with a capitalization of as much as $350,000. Having played and run successful teams since 1977, Kaplan reached a point in late 1984 where he could not show his face in any casino without being followed by the casino personnel in search of his team members. As a consequence he decided to fall back on his growing real estate investment and development company, his 'day job' since 1980, and stopped managing the team. He continued for another year or so as an occasional player and investor in the team, now being run by Massar, Chang and Bill Rubin, a player who joined the team in 1984.
The MIT Blackjack Team ran at least 22 partnerships in the time period from late 1979 through 1989. At least 70 people played on the team in some capacity (either as counters, Big Players, or in various supporting roles) over that time span. Every partnership was profitable during this time period, after paying all expenses as well as the players' and managers' share of the winnings, with returns to investors ranging from 4%/year to over 300%/year.
In 1992, Bill Kaplan, J.P. Massar, and John Chang decided to capitalize on the opening of Foxwoods Casino in nearby Connecticut, where they planned to train new players. Acting as the General Partner, they formed a Massachusetts Limited Partnership in June 1992 called Strategic Investments to bankroll the new team. Structured similar to the numerous real estate development limited partnerships that Kaplan had formed, the limited partnership raised a million dollars, significantly more money than any of their previous teams, with a method based on Edward Thorp's high low system. It involved three players: a big player, a controller, and a spotter. The spotter checked when the deck went positive with card counting, the controller would bet small constantly, wasting money, and verifying the spotter's count. Once the controller found a positive, he would signal to the big player. He would make a massive bet, and win big. Confident with this new funding, the three general partners ramped up their recruitment and training efforts to capitalize on the opportunity.
Over the next two years, the MIT Team grew to nearly 80 players, including groups and players in Cambridge, New York, New Jersey, Pennsylvania, California, Illinois, and Washington. Sarah McCord, who joined the team in 1983 as an MIT student and later moved to California, was added as a partner soon after SI was formed and became responsible for training and recruitment of West Coast players.
At various times, there were nearly 30 players playing simultaneously at different casinos around the world, including Native American casinos throughout the country, Las Vegas, Atlantic City, Canada, and island locations. Never before had casinos throughout the world seen such an organized and scientific onslaught directed at the game. While the profits rolled in, so did the 'heat' from the casinos, and many MIT Team members were identified and barred. These members were replaced by fresh players from MIT, Harvard, and other colleges and companies, and play continued. Eventually, investigators hired by casinos realized that many of those they had banned had addresses in or near Cambridge, and the connection to MIT and a formalized team became clear. The detectives obtained copies of recent MIT yearbooks and added photographs from it to their image database.
With its leading players banned from most casinos and other more lucrative investment opportunities opening up at the end of the recession, Strategic Investments paid out its substantial earnings to players and investors and dissolved its partnership on December 31, 1993.
After the dissolution of Strategic Investments, a few of the players took their winnings and split off into two independent groups. The Amphibians were primarily led by Semyon Dukach, with Dukach as the big player, Katie Lilienkamp (a controller), and Andy Bloch (a spotter). The other team was the Reptiles, led by Mike Aponte, Manlio Lopez and Wes Atamian. These teams had various legal structures, and at times million dollar banks and 50+ players. By 2000 the 15+ year reign of the MIT Blackjack Teams came to an end as players drifted into other pursuits.
In 1999, a member of the Amphibians won at Max Rubin's 3rd Annual Blackjack Ball competition. The event was featured in an October 1999 Cigar Aficionado article, which said the winner earned the unofficial title 'Most Feared Man in the Casino Business'.[4]
Several members of the two teams have used their expertise to start public speaking careers as well as businesses teaching others how to count cards. For example: