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Texas Holdem Hands Wiki

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A pair of aces is the best pre-flop hand in Texas Hold'em Poker

In the poker game of Texas hold 'em, a starting hand consists of two hole cards, which belong solely to the player and remain hidden from the other players. Five community cards are also dealt into play. Betting begins before any of the community cards are exposed, and continues throughout the hand. The player's 'playing hand', which will be compared against that of each competing player, is the best 5-card poker hand available from his two hole cards and the five community cards. Unless otherwise specified, here the term hand applies to the player's two hole cards, or starting hand.

Essentials[edit]

There are 1326 distinct possible combinations of two hole cards from a standard 52-card deck in hold 'em, but since suits have no relative value in this poker variant, many of these hands are identical in value before the flop. For example, AJ and AJ are identical in value, because each is a hand consisting of an ace and a jack of the same suit.

Therefore, there are 169 non-equivalent starting hands in hold 'em, which is the sum total of : 13 pocket pairs, 13 × 12 / 2 = 78 suited hands and 78 unsuited hands (13 + 78 + 78 = 169).

Know each and every one of the Texas Hold 'Em card combinations and their hierarchy. Hand ranks low to high - High Card (no pair), One Pair, Two Pair, Three of a Kind, Straight, Flush, Full House, Four of a Kind, Straight Flush. There are websites which allow you to play for free, without any risk (but without any winnings too). Poker hands are rated according to the likelihood that a player will receive them. Equivalent poker hands are rated according to which player holds cards of the highest values, called the stronger hand. You can learn poker hands for most poker games using a memory device called a mnemonic. Texas hold 'em (also known as Texas holdem, hold 'em, and holdem) is one of the most popular variants of the card game of poker. Two cards, known as hole cards, are dealt face down to each player, and then five community cards are dealt face up in three stages.

These 169 hands are not equally likely. Hold 'em hands are sometimes classified as having one of three 'shapes':


  • Pairs, (or 'pocket pairs'), which consist of two cards of the same rank (e.g. 99). One hand in 17 will be a pair, each occurring with individual probability 1/221 (P(pair) = 3/51 = 1/17).
Holdem
Alternative means of making this calculation
First Step
As confirmed above.
There are 1326 possible combination of opening hand.
Second Step
There are 6 different combos of each pair. 9h9c, 9h9s, 9h9d, 9c9s, 9c9d, 9d9s. Therefore, there are 78 possible combinations of pocket pairs (6 multiplied by 13 i.e. 22-AA)
To calculate the odds of being dealt a pair
78 (the number of any particular pair being dealt. As above) divided by 1326 (possible opening hands)
78/1326 = 0.058 or 5.8%


  • Suited hands, which contain two cards of the same suit (e.g. A6). 23.5% of all starting hands are suited.

Probability of first card is 1.0 (any of the 52 cards)Probability of second hand suit matching the first:There are 13 cards per suit, and one is in your hand leaving 12 remaining of the 51 cards remaining in the deck. 12/51=.2353 or 23.5%


  • Offsuit hands, which contain two cards of a different suit and rank (e.g. KJ). 70.6% of all hands are offsuit hands

Offsuit pairs = 78Other offsuit hands = 936

It is typical to abbreviate suited hands in hold 'em by affixing an 's' to the hand, as well as to abbreviate non-suited hands with an 'o' (for offsuit). That is,

QQ represents any pair of queens,
KQ represents any king and queen,
AKo represents any ace and king of different suits, and
JTs represents any jack and ten of the same suit.

Limit hand rankings[edit]

Texas

Some notable theorists and players have created systems to rank the value of starting hands in limit Texas hold'em. These rankings do not apply to no limit play.

Sklansky hand groups[edit]

Texas Holdem Hands Wikipedia

David Sklansky and Mason Malmuth[1] assigned in 1999 each hand to a group, and proposed all hands in the group could normally be played similarly. Stronger starting hands are identified by a lower number. Hands without a number are the weakest starting hands. As a general rule, books on Texas hold'em present hand strengths starting with the assumption of a nine or ten person table. The table below illustrates the concept:

Chen formula[edit]

The 'Chen Formula' is a way to compute the 'power ratings' of starting hands that was originally developed by Bill Chen.[2]

Highest Card
Based on the highest card, assign points as follows:
Ace = 10 points, K = 8 points, Q = 7 points, J = 6 points.
10 through 2, half of face value (10 = 5 points, 9 = 4.5 points, etc.)
Pairs
For pairs, multiply the points by 2 (AA=20, KK=16, etc.), with a minimum of 5 points for any pair. 55 is given an extra point (i.e., 6).
Suited
Add 2 points for suited cards.
Closeness
Subtract 1 point for 1 gappers (AQ, J9)
2 points for 2 gappers (J8, AJ).
4 points for 3 gappers (J7, 73).
5 points for larger gappers, including A2 A3 A4
Add an extra point if connected or 1-gap and your highest card is lower than Q (since you then can make all higher straights)

Texas Holdem Hands Wiki

Phil Hellmuth's: 'Play Poker Like the Pros'[edit]

Phil Hellmuth's 'Play Poker Like the Pros' book published in 2003.

TierHandsCategory
1AA, KK, AKs, QQ, AKTop 12 Hands
2JJ, TT, 99
388, 77, AQs, AQ
466, 55, 44, 33, 22, AJs, ATs, A9s, A8sMajority Play Hands
5A7s, A6s, A5s, A4s, A3s, A2s, KQs, KQ
6QJs, JTs, T9s, 98s, 87s, 76s, 65sSuited Connectors

Statistics based on real online play[edit]

Statistics based on real play with their associated actual value in real bets.[3]

TierHandsExpected Value
1AA, KK, QQ, JJ, AKs2.32 - 0.78
2AQs, TT, AK, AJs, KQs, 990.59 - 0.38
3ATs, AQ, KJs, 88, KTs, QJs0.32 - 0.20
4A9s, AJ, QTs, KQ, 77, JTs0.19 - 0.15
5A8s, K9s, AT, A5s, A7s0.10 - 0.08
6KJ, 66, T9s, A4s, Q9s0.08 - 0.05
7J9s, QJ, A6s, 55, A3s, K8s, KT0.04 - 0.01
898s, T8s, K7s, A2s0.00
987s, QT, Q8s, 44, A9, J8s, 76s, JT(-) 0.02 - 0.03

Nicknames for starting hands[edit]

Texas Hold'em Hands Wiki

In poker communities, it is common for hole cards to be given nicknames. While most combinations have a nickname, stronger handed nicknames are generally more recognized, the most notable probably being the 'Big Slick' - Ace and King of the same suit, although an Ace-King of any suit combination is less occasionally referred to as an Anna Kournikova, derived from the initials AK and because it 'looks really good but rarely wins.'[4][5] Hands can be named according to their shapes (e.g., paired aces look like 'rockets', paired jacks look like 'fish hooks'); a historic event (e.g., A's and 8's - dead man's hand, representing the hand held by Wild Bill Hickok when he was fatally shot in the back by Jack McCall in 1876); many other reasons like animal names, alliteration and rhyming are also used in nicknames.

Notes[edit]

  1. ^David Sklansky and Mason Malmuth (1999). Hold 'em Poker for Advanced Players. Two Plus Two Publications. ISBN1-880685-22-1
  2. ^Hold'em Excellence: From Beginner to Winner by Lou Krieger, Chapter 5, pages 39 - 43, Second Edition
  3. ^http://www.pokerroom.com/poker/poker-school/ev-stats/total-stats-by-card/[dead link]
  4. ^Aspden, Peter (2007-05-19). 'FT Weekend Magazine - Non-fiction: Stakes and chips Las Vegas and the internet have helped poker become the biggest game in town'. Financial Times. Retrieved 2010-01-10.
  5. ^Martain, Tim (2007-07-15). 'A little luck helps out'. Sunday Tasmanian. Retrieved 2010-01-10.
Hold
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The card game of poker has many variations, most of which were created in the United States in the mid-1900s. The standard order of play applies to most of these games, but to fully specify a poker game requires details about which hand values are used, the number of betting rounds, and exactly what cards are dealt and what other actions are taken between rounds.

Popular poker variants[edit]

The three most popular poker variants are spread in casinos and poker rooms worldwide and can be divided into the following groups:

  • Draw poker: Games in which players are dealt a complete hand, hidden, and then improve it by replacing cards. The most common of these is five-card draw.
  • Stud poker: Games in which each player receives a combination of face-up cards and face-down cards in multiple betting rounds. The most common of these are five-card stud and seven-card stud. These two variants are further played in other different formats.
  • Community card poker: Games in which each player's incomplete hidden hand is combined with shared face-up cards. The most common of these are Texas hold 'em and Omaha hold 'em.

Here are more common rule variations:

  1. Lowball: The lowest hand wins the pot. There are different rules about whether or not aces count as low, and the effects of straights and flushes. The most common variants are Razz and 2-7 Triple Draw
  2. High-low split: the highest and lowest hands split the pot. Generally there is a qualifier for the low hand. For example, the low hand must have 5 cards with ranks of 8 or less. In most high-low games the usual rank of poker hands is observed, so that an unsuited broken straight (7-5-4-3-2) wins low (see Morehead, Official Rules of Card Games). In a variant, based on Lowball, where only the low hand wins, a straight or a flush does not matter for a low hand. So the best low hand is 5-4-3-2-A, suited or not.
  3. Players can pass cards to each other. An example of this would be Anaconda.
  4. Kill game: When a fixed limit game is played and a player wins two pots in a row, the stakes are doubled. In some split-pot games, a player winning both halves of the pot may also cause a kill. In some variants of Lowball, a player may choose to kill by placing a double bet after seeing his first two cards.
  5. Wild cards are added. This can range from simply making deuces wild to the 7-card stud variant named baseball.
  6. A twist round in which players can buy another card from the deck. If a player does not like the purchased card, the player can purchase another one by adding money to the pot. This is sometimes called a 'tittle.'
  7. A stripped deck may be used. Poker was first played with only 20 cards. In the spirit of poker history, players will sometimes only play with a stripped deck. A popular poker game in Spain is played with cards 8-A. It is played similar to hold'em, except that one card is dealt at a time and a player must use both hole cards.
  8. Roll your own is played in stud games, and allows the player to determine which of his or her cards are turned up and visible to the other players. In a game like Seven-card Stud, the 'roll' action only applies to the first 3 cards, all of which are dealt face down. Each player then determines which card to expose. Play then continues as with regular Seven-card Stud. But a game like Mexican stud applies the roll option throughout the game. Two cards are dealt face down, and the players roll one card up. The game continues just as in Five-card Stud, except the cards are dealt face down, and each player then decides which of the two down cards is exposed.[1]

Mixed poker games[edit]

Poker can be played in a mixed game format, for example one half-hour of Texas hold 'em followed by one half-hour of Seven-card stud. There are many types of mixed poker games. The most notable mixed poker variation is H.O.R.S.E. poker. H.O.R.S.E. is a mix of Texas hold 'em, Omaha high-low, Razz, Seven-card stud and Seven-card stud Eight-or-better. Each game will usually be played for a fixed number of hands or time and then the players will move on to the next game.

Other mixed games include:

  • H.O.S.E. – same as H.O.R.S.E., except without Razz.
  • H.O.E. – same as H.O.R.S.E, except no Razz or Seven-card stud.
  • H.O. – Texas hold 'em and Omaha high-low
  • O.E. – Omaha high-low and Seven-card Stud Eight or better.
  • H.A. – Pot limit Texas hold 'em and pot limit Omaha.
  • Omaha High-low Mixed – Fixed limit Omaha and pot limit Omaha high-low
  • Holdem Mixed – Fixed limit and no limit Texas hold 'em.
  • Eight Game Mix – Fixed limit 2-7 Triple Draw, fixed limit Texas hold 'em, fixed limit Omaha Hi-Low Eight or better, Razz, fixed limit Seven-card stud, fixed limit Seven-card stud Hi-Low eight or better, no limit Texas hold 'em and pot limit Omaha.
  • Ten Game Mix (introduced at 2011 World Series of Poker) – No limit Hold'em, fixed limit Seven-card Razz, fixed limit Hold'em, fixed limit Badugi, fixed limit Seven-card Stud, no limit 2-7 Single Draw, fixed limit Omaha Hi-Low eight or better, pot limit Omaha, fixed limit 2-7 Triple Draw and fixed limit Seven-card stud Hi-Low eight or better (played with 6 players on a table).

Specific poker variant games[edit]

Some poker games don't fit neatly into the above categories, and some have features of more than one of these categories. These variants are most often played in home games, usually as part of a dealer's choice format.

High Chicago or Low Chicago[edit]

Either of these two versions can be played in any stud high game. In High Chicago, or sometimes simply called Chicago, the player with the highest spade face down (referred to as in the hole) receives half the pot. In Low Chicago, the player with the lowest spade in the hole receives half of the pot, with the A♠ being the lowest. If the player with the highest hand also has the highest/lowest spade in the hole, then that player receives the entire pot - having won both sides of the bet.

Follow the Queen[edit]

Texas Holdem Hands Wiki

This 7-card stud game uses a wild-card designated as whichever card is immediately dealt (exposed, or face-up) after any queen previously dealt (exposed). In the event that the final card dealt (exposed) is itself a queen, then all queens are wild. If no queens are dealt (exposed), then there are no wilds for that hand. Betting is the same as in normal 7-card stud games. Follow the Queen is a typical game variant in Dealer's Choice poker games.[2][3]

Countdown[edit]

In this 5-card game, the dealer gives each player 5 cards face down. After the first round of betting, each player may choose to replace zero to three cards. A second round of betting follows and then players may opt to replace zero to two cards. Upon completing another round of betting, each player may replace one card of the cards in their hand. After a final round of betting, any remaining players show their hands, and the highest 5 card hand wins. The cost of cards doubles each round. For example, if the dealer says each replacement card costs $10 in the first round, then each card costs $20 in the second round, and $40 in the final round. When players purchase cards to replace ones in their hand, they put the cost of the cards in the pot.[4]

This game will only work with 4 players (or fewer) otherwise you will run out of cards.

Billabong and Shanghai[edit]

Just as Oxford stud is a mixed stud/community card version of Texas hold 'em, Billabong is a mixed version of Manila. Each player is dealt two down-cards and one up-card. Low up-card starts the betting with a Bring-in if you are playing with one, otherwise high card starts the betting. Next, two community cards are dealt, followed by a second betting round, beginning with the player with the best exposed partial poker hand (counting the community cards, as in Oxford stud). Then a third community card is dealt, followed by a third betting round. Finally a fourth community card is dealt, followed by a fourth betting round and showdown. Each player plays the best five-card hand he can make from the three in his hand plus the four on the board in any combination.

Shanghai is the same game with an extra hole card, but no more than two hole cards play. That is, the game begins with each player being dealt three down-cards and one up-card; each player must discard one of his hole cards at some point during the game as determined ahead of time. The most common variation is to discard immediately as in Pineapple; the second most common is to discard just before showdown as in Tahoe.

Guts[edit]

Guts is a family of games that are cousins of poker rather than poker variants. They usually involve hands of 3 or fewer cards, ranked similarly to hands in poker, and multiple successive rounds of betting each of which consist of the decision to be 'in' or 'out', and each with its own showdown. The losers of rounds of guts generally match or double the pot, which grows rapidly.

Five-O poker[edit]

Five-O Poker is a heads-up poker variant in which both players must play five hands of five cards simultaneously. Four of the five cards in each hand are face-up. Once all five hands are down, there is a single round of betting. The winner is determined by matching each hand to the corresponding hand of the opponent. The player with the stronger poker hand in three (or more) out of the five columns, wins, unless a player folds on a bet that was made. If a player beats their opponent with all five hands, this is called a “Five-O” win.

Texas Holdem Starting Hands Wiki

Chinese poker[edit]

Chinese poker is a 2-4 player poker game with thirteen cards. The idea is to make three poker hands with increasing rank : two with five cards and one with three cards. If one of the hands does not adhere to increasing rank (i.e. is mis-set), the hand is declared dead and results in some sort of penalty.

Kuhn poker[edit]

Kuhn poker, using a three card deck, is more of game theory problem than an actual game people play, but it can be played by two players.[5]

See also[edit]

References[edit]

  1. ^Pagat.com: Roll Your Own
  2. ^Pokernews.com: Fun Home Poker Game Rules - Follow the Queen
  3. ^Pokerrules.net: How to Play Follow the Queen
  4. ^Pokerrules.net: How to Play Countdown Poker
  5. ^'A Parameterized Family of Equilibrium Profiles for Three-Player Kuhn Poker'(PDF).
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