1. Texas Holdem Poker Odds
2. Zynga Texas Holdem Poker
3. Texas Holdem Probability Chart
4. Poker Probability Texas Holdem Wikipedia Codes

See also Poker probability (Texas hold 'em) and Poker probability (Omaha) for probabilities specific to those games. In poker, the probability of each type of 5-card hand can be computed by calculating the proportion of hands of that type among all possible hands. Probabilities in Texas Hold'em Introduction An understanding of basic probabilities will give your poker game a stronger foundation, for all game types. This article discusses all the important, and interesting, probabilities that you should be aware of. Probabilities in poker Probability means the degree of certainty that a possible event will occur.

Six-plus hold 'em (also known as short-deck hold 'em) is a community card poker game variant of Texas hold 'em, where the 2 through 5 cards are removed from the deck. Each player is dealt two cards face down and seeks to make the best five card poker hand from any combination of the seven cards (five community cards and their own two hole cards).^[1]

Rules[edit]

The rules in terms of betting structures, play of the hand, and showdown are the same as in Texas hold 'em. However before play begins all cards 2 through 5 are removed (16 cards), thus the total number of cards in the deck is 36. Aces are high, but same as in Texas hold 'em, can make both low and high end of straights. For example the lowest straight would be (9x-8x-7x-6x-Ax) and the highest (Ax-Kx-Qx-Jx-10x). This changes the probability of hands and alters hand rankings.^[2]

Modified hand rankings[edit]

^†Flush ranks higher than full house. In theory, three-of-a-kind ranks higher than a straight as the probability of achieving three-of-a-kind is lower than a straight in short-deck, however recent games have been ranking straight higher than three-of-a-kind which has become standard.^[3] Some variations of six-plus hold 'em plays with standard Texas hold 'em hand rankings. When calculating for 5 card six-plus hold 'em where each player gets only 5 cards, straights rank higher than three-of-a-kind.

The 2018 Triton Poker tournament series hosted the first televised six-plus hold 'em tournaments. The first Triton Super High Roller HK$250,000 short deck ante-only event was won by Phil Ivey, earning him US$617,396.^[4] The 2018 Triton tournaments ranked straights higher than three-of-a-kind.^[5]

History[edit]

The game originated in 2014 and is popular among high stakes gamblers in Asia due to its high variance.^{[clarification needed]} In 2015, Phil Ivey and Tom Dwan promoted the game in an online video showing this variant of Texas hold 'em which is frequently played in Macau, Hong Kong and Manila.^[6][7]

Notes[edit]

1. ^'Six Plus Hold'em'. PokerVIP. 13 June 2015. Retrieved 2017-08-28.
2. ^Gheorghe, Florain (14 March 2016). 'The New Six Plus Holdem'. PokerTube. Retrieved 2017-08-28.
3. ^DellaFave, Robert (2016-02-25). 'Six Plus Holdem Launches - How Will It Impact iPoker Liquidity?'. Online Poker Report. Retrieved 2017-08-28.
4. ^Fast, Erik (2018-05-14). 'Phil Ivey Wins Triton Poker Montenegro $250,000 HKD Short Deck Event'. cardplayer.com. Retrieved 2018-05-17.
5. ^CardsChat Tournament News (2018-05-14). 'Phil Ivey Wins 'Short Deck' Poker Tournament in Montenegro for $605K'. Cardschat. Retrieved 2018-05-17.
6. ^Rettmuller, Charles (10 June 2015). ''Six Plus Hold'em' Promoted by Tom Dwan and Phil Ivey'. PokerTube. Retrieved 2017-08-28.
7. ^Weldon, Alex (2015-06-11). 'What the Heck is Six-Plus Hold'em?'. Part Time Poker. Retrieved 2017-08-28.

External links[edit]

• Six Plus Hold'em on PokerNews
• Beginners Tips on Sixplusholdem.com

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, A♥J♥ and A♠J♠ 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).

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. 9♠9♣). One hand in 17 will be a pair, each occurring with individual probability 1/221 (P(pair) = 3/51 = 1/17).

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. A♣6♣). 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. K♠J♥). 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]

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]

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).

Texas Holdem Poker Odds

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)

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

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

Statistics based on real online play[edit]

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

Nicknames for starting hands[edit]

Zynga Texas Holdem Poker

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.

Texas Holdem Probability Chart

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.

Poker Probability Texas Holdem Wikipedia Codes