Poker Famous Hands

The Poker Hands. Here’s a ranking chart of the Poker hands. The chart lists the rankings with an example for each ranking. The examples are a good reminder of the definitions. The highest ranking of them all is the royal flush, which consists of 5 consecutive cards in one suit with the highest card being Ace. There is only one such hand in. There are exactly 169 possible starting hands in a game of Texas Hold’em Poker. The most famous ones of all are the goodies – the pocket Aces, the A-K suited, or even the worst possible 7-2 off-suit, things of this nature.

The game of poker was developed some time during the early 19th century in the United States. Since those early beginnings, poker has grown to become an extremely popular pastime throughout the world.

19th century[edit]

In the 1837 edition of Foster's Complete Hoyle, R. F. Foster wrote: 'the game of poker, as first played in the United States, five cards to each player from a twenty-card pack, is undoubtedly the Persian game of As-Nas.' By the 1990s some gaming historians including David Parlett started to challenge the notion that poker is a direct derivative of As-Nas.^{[citation needed]} There is evidence that a game called poque, a French game similar to poker, was played around the region where poker is said to have originated. The name of the game likely descended from the Irish Poca (Pron. Pokah) ('Pocket') or even the Frenchpoque, which descended from the Germanpochen ('to brag as a bluff' lit. 'to knock'). Yet it is not clear whether the origins of poker itself lie with the games bearing those names. It is commonly regarded as sharing ancestry with the Renaissance game of primero and the French brelan. The English game brag (earlier bragg) clearly descended from brelan and incorporated bluffing (though the concept was known in other games by that time). It is quite possible that all of these earlier games influenced the development of poker as it exists now.

A modern school of thought rejects these ancestries,^[1] as they focus on the card play in poker, which is trivial and could have been derived from any number of games or made up on general cardplay principles.^[2] The unique features of poker have to do with the betting, and do not appear in any known older game.^[1] In this view poker originated much later, in the early or mid-18th century, and spread throughout the Mississippi River region by 1800. It was played in a variety of forms, with 52 cards, and included both straight poker and stud. 20 card poker was a variant for two players (it is a common English practice to reduce the deck in card games when there are fewer players).^[3] The development of poker is linked to the historical movement that also saw the invention of commercial gambling.^[4][5]

English actor Joseph Cowell^[6] reported that the game was played in New Orleans in 1829, with a deck of 20 cards, and four players betting on which player's hand was the most valuable. Jonathan H. Green's book, An Exposure of the Arts and Miseries of Gambling (G. B. Zieber, Philadelphia, 1843), described the spread of the game from there to the rest of the country by Mississippiriverboats, on which gambling was a common pastime. As it spread north along the Mississippi River and to the West during the gold rush, it is thought to have become a part of the frontier pioneer ethos.

Soon after this spread, the full 52-card French deck was used and the flush was introduced. The draw was added prior to 1850 (when it was first mentioned in print in a handbook of games).^[7] During the American Civil War, many additions were made including stud poker (the five-card variant), and the straight. Further American developments followed, such as the wild card (around 1875), lowball and split-pot poker (around 1900), and community card poker games (around 1925).

Early books discussing poker[edit]

• Hildreth, J. (1836) Dragoon Campaigns to the Rocky Mountains, Wiley & Long, New York: mentions poker
• Green, Jonathan H. (1843). Exposure of the Arts and Miseries of Gambling, Philadelphia: Zieber
• Cowell, Joe (1844). Thirty Years Passed Among the Players in England and America
• Anners, Henry F. (1845) Hoyle’s Games: refers to Poker or Bluff, 20-deck Poker, and 20-deck Poke
• Bohn, Henry George (1850) New Handbook of Games: stated the rules of poker in print for the first time
• Dick, Willium B. (1866) The American card player
• Trumps (1868) The Modern Pocket Hoyle New York: Dick & Fitzgerald
• Steinmetz, Andrew (1870) The Gaming Table: Its Votaries and Victims, London: Tinsley Brothers
• Schenck, Robert C. (1872)Rules for Playing Poker, private circulation
• Winterblossom, Henry T (1875) The Game of Draw Poker Mathematically Illustrated
• Blackbridge (1875) The Complete Card Player

20th century[edit]

Developments in the 1970s led to poker becoming far more popular than it was before. Modern tournament play became popular in American casinos after the World Series of Poker began, in 1970.^[8] Notable champions from these early WSOP tournaments include Johnny Moss, Amarillo Slim, Bobby Baldwin, Doyle Brunson, and Puggy Pearson. Later in the 1970s, the first serious poker strategy books appeared, notably Super/System by Doyle Brunson (ISBN1-58042-081-8) and Caro's Book of Poker Tells by Mike Caro (ISBN0-89746-100-2), followed later by The Theory of Poker by David Sklansky (ISBN1-880685-00-0).

By the 1980s, poker was being depicted in popular culture as a commonplace recreational activity. For example, it was featured in at least 10 episodes of Star Trek: The Next Generation as a weekly event of the senior staff of the fictional ship's crew.^[9]

Two significant events in the late 1980s led to the first poker 'boom'. In 1987, California legalized the flop games of hold'em and Omaha, as well as stud. Previously only draw games were allowed. While there were more poker games in California than anywhere else before this, the number of games and the action hold'em brought both increased dramatically. Cavernous poker rooms like the Commerce Casino and the Bicycle Club began operating in the LA area.^[10] In 1988 Congress passed the Indian Gaming Regulatory Act (IGRA),^[11] which legalized casino games on Indian lands. Poker rooms began rapidly opening within a few short years. Limit Texas hold'em was the most widely played game by far in the west, and seven card stud was the most widely played game in the east from the late 1980s until 2003.^[12]

In the 1990s, poker and casino gambling spread across the United States, most notably to Atlantic City, New Jersey.^[13] In 1998, Planet Poker dealt the first real money online poker game. In 1999, Late Night Poker debuted on British television.^[14]

21st century[edit]

Poker's popularity experienced an unprecedented spike at the beginning of the 21st century, largely because of the introduction of online poker and hole-card cameras, which turned the game into a spectator sport. Not only could viewers now follow the action and drama of the game on television, they could also play the game in the comfort of their own home. Broadcasts of poker tournaments such as the World Series of Poker and World Poker Tour brought in huge audiences for cable and satellite TV distributors. Because of the increased coverage of poker events, poker pros became celebrities, with poker fans all over the world entering into tournaments for the chance to compete with them. Television coverage also added an important new dimension to the poker professional's game, as any given hand could now be aired later, revealing information not only to the other players at the table, but to anyone who cared to view the broadcast.

Following the surge in popularity, new poker tours soon emerged, including the World Poker Tour and European Poker Tour, both televised, and the latter sponsored by online poker company PokerStars. Subsequent tours have since been created by PokerStars, such as Latin American Poker Tour and Asia Pacific Poker Tour, as well as other national tours. Beginning in 2003, major poker tournament fields grew dramatically, in part because of the growing popularity of online satellite-qualifier tournaments where the prize is an entry into a major tournament. The 2003 and 2004 World Series of Poker champions, Chris Moneymaker and Greg Raymer, respectively, won their seats to the main event by winning online satellites.^[15] In 2009 the International Federation of Poker was founded in Lausanne, Switzerland, becoming the official governing body for poker and promoting the game as a mind sport. In 2011 it announced plans for two new events: The Nations Cup, a duplicate poker team event, to be staged on the London Eye on the banks of the River Thames and 'The Table', the invitation-only IFP World Championship, featuring roughly 130 of the world's best poker players, in an event to find the 2011 official 'World Champion'.

After the passage of the UIGEA in October 2006, attendance at live tournaments as well as participation in live and online cash games initially slowed; however, they are still growing and far more popular today than they were before 2003. The growth and popularity of poker can be seen in the WSOP which had a record 7,319 entrants to the 2010 main event.^[16] The only nations in Europe that prohibit live poker are Norway, Poland and Albania, according to Dagbladet in 2011.^[17]

References[edit]

1. ^ ^abReuven and Gabrielle Brenner, and Aaron Brown, A World of Chance: Betting on Religion, Games, Wall Street, Cambridge University Press (2008), ISBN978-0-521-88466-2
2. ^Stephen Longstreet, Win or Lose: A Social History of Gambling in America, Bobbs-Merrill (1977), ISBN978-0-672-52253-6
3. ^Aaron Brown, The Poker Face of Wall Street, John Wiley & Sons (2006), ISBN978-0-470-12731-5
4. ^David G. Schwartz, Roll the Bones: The History of Gambling, Gotham (2007), ISBN978-1-59240-316-5
5. ^Timothy O'Brien, Bad Bet : The Inside Story of the Glamour, Glitz, and Danger of America's Gambling Industry, Crown Business (1998), ISBN978-0-8129-2807-5
6. ^Williamson, G. R. (15 May 2012). Frontier Gambling. G.R. Williamson. ISBN9780985278014. Retrieved 16 December 2018 – via Google Books.
7. ^Henry G. Bond (ed.), Bohn's New Handbook of Games, Henry F. Anners (1850)
8. ^'World Series of Poker: A Retrospective'. Gaming.unlv.edu. 2007-10-22. Retrieved 2009-03-20.
9. ^'Poker & Pop Culture: 'Star Trek: The Next Generation''. www.pokernews.com. Retrieved 16 December 2018.
10. ^Badger, Steve. 'California Hold'em Poker - Texas Holdem Comes to California Poker'. www.stevebadger.com.
11. ^'Industry Overview'. Indian Gaming: The National Information Site of the American Indian Gaming Industry. Liberty Lake, Washington: ArrowPoint Media, Inc. 2017. Retrieved 11 July 2017.
12. ^'WSOP NEWS: A WILDER RIDE'. www.wsop.com. Retrieved 16 December 2018.
13. ^'United States of Poker: New Jersey'. Pokerplayernewspaper.com. Retrieved 2009-03-20.
14. ^'Late Night Poker: About the Show'. Channel4.com. Retrieved 2009-03-20.
15. ^'Chris Moneymaker on'. Answers.com. 1975-11-21. Retrieved 2009-03-20.
16. ^'WSOP 2010 Results - World Series of Poker Champion Jonathan Duhamel'. PokerStars.com. 2011-01-22. Retrieved 2011-01-22.
17. ^LøvikSivilingeniør, DEBATTINNLEGGPål Skønberg (15 September 2011). 'Legaliser poker'. Dagbladet.no. Retrieved 16 December 2018.

This post works with 5-card Poker hands drawn from a standard deck of 52 cards. The discussion is mostly mathematical, using the Poker hands to illustrate counting techniques and calculation of probabilities

Working with poker hands is an excellent way to illustrate the counting techniques covered previously in this blog – multiplication principle, permutation and combination (also covered here). There are 2,598,960 many possible 5-card Poker hands. Thus the probability of obtaining any one specific hand is 1 in 2,598,960 (roughly 1 in 2.6 million). The probability of obtaining a given type of hands (e.g. three of a kind) is the number of possible hands for that type over 2,598,960. Thus this is primarily a counting exercise.

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Preliminary Calculation

Usually the order in which the cards are dealt is not important (except in the case of stud poker). Thus the following three examples point to the same poker hand. The only difference is the order in which the cards are dealt.

These are the same hand. Order is not important.

The number of possible 5-card poker hands would then be the same as the number of 5-element subsets of 52 objects. The following is the total number of 5-card poker hands drawn from a standard deck of 52 cards.

The notation is called the binomial coefficient and is pronounced “n choose r”, which is identical to the number of -element subsets of a set with objects. Other notations for are , and . Many calculators have a function for . Of course the calculation can also be done by definition by first calculating factorials.

Thus the probability of obtaining a specific hand (say, 2, 6, 10, K, A, all diamond) would be 1 in 2,598,960. If 5 cards are randomly drawn, what is the probability of getting a 5-card hand consisting of all diamond cards? It is

This is definitely a very rare event (less than 0.05% chance of happening). The numerator 1,287 is the number of hands consisting of all diamond cards, which is obtained by the following calculation.

The reasoning for the above calculation is that to draw a 5-card hand consisting of all diamond, we are drawing 5 cards from the 13 diamond cards and drawing zero cards from the other 39 cards. Since (there is only one way to draw nothing), is the number of hands with all diamonds.

If 5 cards are randomly drawn, what is the probability of getting a 5-card hand consisting of cards in one suit? The probability of getting all 5 cards in another suit (say heart) would also be 1287/2598960. So we have the following derivation.

Thus getting a hand with all cards in one suit is 4 times more likely than getting one with all diamond, but is still a rare event (with about a 0.2% chance of happening). Some of the higher ranked poker hands are in one suit but with additional strict requirements. They will be further discussed below.

Another example. What is the probability of obtaining a hand that has 3 diamonds and 2 hearts? The answer is 22308/2598960 = 0.008583433. The number of “3 diamond, 2 heart” hands is calculated as follows:

One theme that emerges is that the multiplication principle is behind the numerator of a poker hand probability. For example, we can think of the process to get a 5-card hand with 3 diamonds and 2 hearts in three steps. The first is to draw 3 cards from the 13 diamond cards, the second is to draw 2 cards from the 13 heart cards, and the third is to draw zero from the remaining 26 cards. The third step can be omitted since the number of ways of choosing zero is 1. In any case, the number of possible ways to carry out that 2-step (or 3-step) process is to multiply all the possibilities together.

Poker Famous Hands Games

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The Poker Hands

Here’s a ranking chart of the Poker hands.

The chart lists the rankings with an example for each ranking. The examples are a good reminder of the definitions. The highest ranking of them all is the royal flush, which consists of 5 consecutive cards in one suit with the highest card being Ace. There is only one such hand in each suit. Thus the chance for getting a royal flush is 4 in 2,598,960.

Royal flush is a specific example of a straight flush, which consists of 5 consecutive cards in one suit. There are 10 such hands in one suit. So there are 40 hands for straight flush in total. A flush is a hand with 5 cards in the same suit but not in consecutive order (or not in sequence). Thus the requirement for flush is considerably more relaxed than a straight flush. A straight is like a straight flush in that the 5 cards are in sequence but the 5 cards in a straight are not of the same suit. For a more in depth discussion on Poker hands, see the Wikipedia entry on Poker hands.

The counting for some of these hands is done in the next section. The definition of the hands can be inferred from the above chart. For the sake of completeness, the following table lists out the definition.

Definitions of Poker Hands

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Counting Poker Hands

Straight Flush
Counting from A-K-Q-J-10, K-Q-J-10-9, Q-J-10-9-8, …, 6-5-4-3-2 to 5-4-3-2-A, there are 10 hands that are in sequence in a given suit. So there are 40 straight flush hands all together.

Four of a Kind
There is only one way to have a four of a kind for a given rank. The fifth card can be any one of the remaining 48 cards. Thus there are 48 possibilities of a four of a kind in one rank. Thus there are 13 x 48 = 624 many four of a kind in total.

Full House
Let’s fix two ranks, say 2 and 8. How many ways can we have three of 2 and two of 8? We are choosing 3 cards out of the four 2’s and choosing 2 cards out of the four 8’s. That would be = 4 x 6 = 24. But the two ranks can be other ranks too. How many ways can we pick two ranks out of 13? That would be 13 x 12 = 156. So the total number of possibilities for Full House is

Note that the multiplication principle is at work here. When we pick two ranks, the number of ways is 13 x 12 = 156. Why did we not use = 78?

Flush
There are = 1,287 possible hands with all cards in the same suit. Recall that there are only 10 straight flush on a given suit. Thus of all the 5-card hands with all cards in a given suit, there are 1,287-10 = 1,277 hands that are not straight flush. Thus the total number of flush hands is 4 x 1277 = 5,108.

Straight
There are 10 five-consecutive sequences in 13 cards (as shown in the explanation for straight flush in this section). In each such sequence, there are 4 choices for each card (one for each suit). Thus the number of 5-card hands with 5 cards in sequence is . Then we need to subtract the number of straight flushes (40) from this number. Thus the number of straight is 10240 – 10 = 10,200.

Three of a Kind
There are 13 ranks (from A, K, …, to 2). We choose one of them to have 3 cards in that rank and two other ranks to have one card in each of those ranks. The following derivation reflects all the choosing in this process.

Two Pair and One Pair
These two are left as exercises.

Famous Movie Poker Hands

High Card
The count is the complement that makes up 2,598,960.

Famous Hands In Poker

The following table gives the counts of all the poker hands. The probability is the fraction of the 2,598,960 hands that meet the requirement of the type of hands in question. Note that royal flush is not listed. This is because it is included in the count for straight flush. Royal flush is omitted so that he counts add up to 2,598,960.

Famous Poker Hands

Probabilities of Poker Hands

Poker Famous Hands Clip Art

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2017 – Dan Ma