- Wikipedia Poker Probability Distribution
- Wikipedia Poker Probability Games
- Wikipedia Poker Probability Cheat
- Probabilities of Poker Hands Each of the 2,598,960 possible hands of poker is equally likely when dealt 5 cards from a standard poker deck. Because of this, one can use probability by outcomes to compute the probabilities of each classification of poker hand. The binomial coefficient can be used to calculate certain combinations of cards.
- Poker Probability Texas Holdem Wikipedia For instance, when you have a pocket pair and are facing only one opponent with a lower pocket pair, you are about a 4.5:1 favorite, meaning that for every eleven times the hand plays out you are likely to win nine.
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).
Three Card Poker is a casino table game based on poker.
History[edit]
The casino variant of Three Card Poker was first created by Derek Webb in 1994 and patented in 1997.[1] Slot machines at foxwoods casino. Webb's goal was to create a version of poker that played with the speed of other table games. It was important to Webb that he got the correct mix of three important factors for any casino game: the game rules were easy to understand, the payouts were large enough to attract players, and the house edge was enough that casino owners would be interested in adopting the game.
Hotels near 4 casino beach boardwalk pensacola beach fl 32561. Webb established a business called Prime Table Games to market the game in both the United States and United Kingdom.[2] The British Casino Association, now known as the National Casino Industry Forum (NCiF) suggested that Webb gain some experience in the US first, since the UK had regulations against such a table game and his application was not strong enough to convince regulators to make significant changes to their rules and regulations for a new game.
The first to adopt the game was Barry Morris, Vice President of Grand Casino Gulfport in Mississippi, after Webb had unsuccessful sales pitches with casino owners in Reno, Las Vegas, and Atlantic City. A key aspect of Webb's offer to Morris was to stand on the floor to train the dealers himself, as well as watch to make sure the game was being played correctly.[3] United Kingdom gambling regulations were changed to allow the introduction of Three Card Poker in 2002.
Prime Table Games continued marketing Three Card Poker until 1999, when Shuffle Master acquired the rights to the game outside the British Isles. The sale was prompted by a lawsuit filed that year in US federal court by Progressive Gaming International Corporation (PGIC), the then-owners of Caribbean stud poker, alleging patent infringement; Shuffle Master agreed to defend that litigation as part of the purchase. Subsequently in 2007, Prime Table Games showed in a countersuit that the 1999 PGIC litigation was based on invalid patent claims; PGIC settled for $20 million.[4] Further, Prime Table Games filed suit against Shuffle Master in 2008 alleging in part that Shuffle Master had undisclosed knowledge that the PGIC claims were invalid prior to the 1999 purchase; it was later settled for over $2 million.[5]
Rules[edit]
Three Card Poker is played as heads-up between the player's hand and the dealer's hand. After all ante wagers are placed, three cards are dealt to each player and the dealer. Players have a choice to either fold or continue in the game by placing a 'play' wager equal to their ante. Hands are then exposed and wagers resolved.[6]
The dealer's hand must be Queen high or better for the dealer hand to play. If the dealer does not play, then there is no action on play wagers and ante wagers are paid 1 to 1. If the dealer does play, the dealer and player hands are compared. If the player hand loses, both the ante and play wagers are lost. If the player hand wins both the ante and play wagers are paid 1 to 1. If the hands are tied, then there is no action on either wager.[6]
Additional optional bets are offered. The Pair Plus wager is a bet that the player's hand will be a pair or better. The Pair Plus wager wins if the player has at least a pair of twos. The payoff applies regardless of the dealer's hand, as the Pair Plus wager is not in competition against the dealer's hand. Some casinos also offer an Ante Bonus, which is paid on the ante wager for a straight or better. The typical Ante Bonus paytable pays 5 to 1 for a straight flush, 4 to 1 for a three of a kind, and 1 to 1 for a straight. Like the Pair Plus wager, the Ante Bonus pays regardless of whether that hand beats the dealer's hand.[6]
Hand ranks[edit]
Straight flush
Wikipedia Poker Probability Distribution
Three of a kind
Straight
Flush
Pair
High card
| Hand Ranks of Three Card Poker[7] | |||
|---|---|---|---|
| Rank | Description | Frequency | Probability |
| Straight flush | Three suited cards in sequence | 48 | 0.22% |
| Three of a kind | Three cards of same rank | 52 | 0.24% |
| Straight | Three cards in sequence | 720 | 3.26% |
| Flush | Three suited cards | 1,096 | 4.96% |
| Pair | Two cards of same rank | 3,744 | 16.94% |
| High card | None of the above | 16,440 | 74.39% |
| Total hands | - | 22,100 | - |
Wikipedia Poker Probability Games
Probability of Queen high or better is 69.59%[citation needed]
Variations[edit]
Some venues have added a wager called Prime in United Kingdom casinos and the game is known as Prime Three Card Poker. The Prime wager is optionally placed before cards are dealt and pays on the color of the player cards. If all three cards are the same color the payoff is 3 to 1. However, when included with the dealer hand if all six cards are the same color then the payoff is increased to 4 to 1.
Another variation is 'six card bonus', in which the players are given a payout based on the best five-card poker hand that can be made using any combination of the player's three cards and the dealer's three cards. Payoff ranges from 5 to 1 for three of a kind to 1000 to 1 for royal flush. Payoffs are paid regardless of whether any other bets pay.
See also[edit]
References[edit]
- ^'Three Card Poker'. Retrieved August 29, 2017.
- ^'Intellectual Property Office patent entry'. Retrieved May 27, 2011.
- ^'3CardPoker.com'. Retrieved November 5, 2013.
- ^Stutz, Howard (November 7, 2007). 'Progressive agrees to pay $20 million to end lawsuit'. Las Vegas Review-Journal. Retrieved August 13, 2018.
- ^Stutz, Howard (January 14, 2011). 'Charge hurts Shuffle Master earnings'. Las Vegas Review-Journal. Retrieved August 13, 2018.
- ^ abcMatt Villano (August 27, 2014). 'Winning a 3-card poker can be tough'. SfGate.
- ^'Three Card Poker - Wizard of Odds'. wizardofodds.com. Retrieved 2020-02-01.
Wikipedia Poker Probability Cheat
Wikipedia Poker Probability Distribution
Three of a kind
Straight
Flush
Pair
High card
| Hand Ranks of Three Card Poker[7] | |||
|---|---|---|---|
| Rank | Description | Frequency | Probability |
| Straight flush | Three suited cards in sequence | 48 | 0.22% |
| Three of a kind | Three cards of same rank | 52 | 0.24% |
| Straight | Three cards in sequence | 720 | 3.26% |
| Flush | Three suited cards | 1,096 | 4.96% |
| Pair | Two cards of same rank | 3,744 | 16.94% |
| High card | None of the above | 16,440 | 74.39% |
| Total hands | - | 22,100 | - |
Wikipedia Poker Probability Games
Probability of Queen high or better is 69.59%[citation needed]
Variations[edit]
Some venues have added a wager called Prime in United Kingdom casinos and the game is known as Prime Three Card Poker. The Prime wager is optionally placed before cards are dealt and pays on the color of the player cards. If all three cards are the same color the payoff is 3 to 1. However, when included with the dealer hand if all six cards are the same color then the payoff is increased to 4 to 1.
Another variation is 'six card bonus', in which the players are given a payout based on the best five-card poker hand that can be made using any combination of the player's three cards and the dealer's three cards. Payoff ranges from 5 to 1 for three of a kind to 1000 to 1 for royal flush. Payoffs are paid regardless of whether any other bets pay.
See also[edit]
References[edit]
- ^'Three Card Poker'. Retrieved August 29, 2017.
- ^'Intellectual Property Office patent entry'. Retrieved May 27, 2011.
- ^'3CardPoker.com'. Retrieved November 5, 2013.
- ^Stutz, Howard (November 7, 2007). 'Progressive agrees to pay $20 million to end lawsuit'. Las Vegas Review-Journal. Retrieved August 13, 2018.
- ^Stutz, Howard (January 14, 2011). 'Charge hurts Shuffle Master earnings'. Las Vegas Review-Journal. Retrieved August 13, 2018.
- ^ abcMatt Villano (August 27, 2014). 'Winning a 3-card poker can be tough'. SfGate.
- ^'Three Card Poker - Wizard of Odds'. wizardofodds.com. Retrieved 2020-02-01.
Wikipedia Poker Probability Cheat
| Alternative names | Short-deck hold 'em |
|---|---|
| Type | Community card poker |
| Players | 2-10 |
| Skills required | Probability, psychology |
| Cards | 36 |
| Deck | French |
| Play | Clockwise |
| Card rank (highest first) | A K Q J 10 9 8 7 6 |
| Random chance | High |
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]
| Rank | Name | Example |
|---|---|---|
| 1 | Royal flush | |
| 2 | Straight flush | |
| 3 | Four of a kind | |
| 4 | Flush† | |
| 5 | Full house† | |
| 6 | Straight† | |
| 7 | Three of a kind† | |
| 8 | Two pair | |
| 9 | One pair | |
| 10 | High card |
†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. Table a langer a roulettes et etageres vertbaudet. 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]
- ^'Six Plus Hold'em'. PokerVIP. 13 June 2015. Retrieved 2017-08-28.
- ^Gheorghe, Florain (14 March 2016). 'The New Six Plus Holdem'. PokerTube. Retrieved 2017-08-28.
- ^DellaFave, Robert (2016-02-25). 'Six Plus Holdem Launches - How Will It Impact iPoker Liquidity?'. Online Poker Report. Retrieved 2017-08-28.
- ^Fast, Erik (2018-05-14). 'Phil Ivey Wins Triton Poker Montenegro $250,000 HKD Short Deck Event'. cardplayer.com. Retrieved 2018-05-17.
- ^CardsChat Tournament News (2018-05-14). 'Phil Ivey Wins 'Short Deck' Poker Tournament in Montenegro for $605K'. Cardschat. Retrieved 2018-05-17.
- ^Rettmuller, Charles (10 June 2015). ''Six Plus Hold'em' Promoted by Tom Dwan and Phil Ivey'. PokerTube. Retrieved 2017-08-28.
- ^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
