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Poker Dice Winning Hands

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A set of poker dice and a dice cup

Poker dice are dice which, instead of having number pips, have representations of playing cards upon them. Poker dice have six sides, one each of an Ace, King, Queen, Jack, 10, and 9, and are used to form a poker hand.

Each variety of poker dice varies slightly in regard to suits, though the ace of spades is almost universally represented. 9♣ and 10♦ are frequently found, while face cards are traditionally represented not by suit, but instead by color: red for kings, green for queens and blue for jacks. Manufacturers have not standardized the colors of the face sides. The game can also be played with ordinary dice.

The game of poker is a card game played among two or more players for several rounds. There are several varieties of the game, but they all tend to have these aspects in common: The game begins with each player putting down money allocated for betting. During each round of play, players are dealt cards from a standard 52-card deck, and the goal of each player is to have the best 5-card hand at. The goal of the game is to roll the strongest hand in two out of three hands. Place your bet and left-click 'roll dice'. Choose whether to raise the bet. Select any dice you wish to re-roll. Texas Hold'em Winning Poker Hands Ranking. In this guide, you'll see that there are a total of 10 hands in Texas Hold'em poker (or 9 if you don't count ‘no pair' as a hand), and we'll detail these below. (The winning poker hands chart below shows a list of poker hands, ranked best, to worst).

As a game[edit]

Three sets of poker dice

The classic poker dice game is played with 5 dice and two or more players. Each player has a total of 3 rolls and the ability to hold dice in between rolls. After the three rolls, the best hand wins.

In most variations, a straight only counts as a Bust (high-card). A Straight is less probable than a Full House, so, if counted, it should rank above a Full House, though tradition usually ranks it below Full House, as in card poker. Neither a 'flush' nor a 'straight flush' is a possible hand, due to the lack of suits on the dice.

In some rules, only a straight to a King is called a Straight, while a straight to an Ace is called (somewhat incorrectly) a Flush. Each one has an exact probability of 120 / 7776. Under these rules, a Straight beats a Full House (unlike in card poker, but correctly reflecting its probability) but does not beat a Four of a Kind (incorrectly reflecting its lower probability). A Flush beats a Four of a Kind (as in card poker, and correctly reflecting its lower probability).

Probabilities[edit]

The poker dice hand rankings and the corresponding probabilities of rolling that hand are as follows[1][2](not sorted by probability but from highest to lowest ranking):

HandExact probabilityPercentage1 in ..Example
Five of a kind6 / 77760.08%1296J J J J J
Four of a kind150 / 77761.93%51.810 10 10 10 A
Full house300 / 77763.86%25.9K K K 9 9
Straight240 / 77763.09%32.4A K Q J 10
Three of a kind1200 / 777615.43%6.59 9 9 K J
Two pair1800 / 777623.15%4.3Q Q 9 9 A
One pair3600 / 777646.30%2.210 10 K Q 9
Bust (high card; no pair, no straight)480 / 7776*6.17%16.2A K Q J 9

*Busts have much lower probability than in card poker, because there are only 6 values instead of 13, making pairs and straights much more likely than with cards. In poker dice there are in fact only four possible bust hands: [A K Q J 9], [A K Q 10 9], [A K J 10 9], and [A Q J 10 9]; both other no-pair hands (i.e., in which either the A or the 9 are missing) are straights. Consequently, in some variants of the rules, straights are counted as busts.[3]

Variants[edit]

Marlboro once marketed a set of octahedral poker dice that included suits; each die had slightly different numberings, ranging from 7 up to ace. A similar set is currently manufactured by Koplow Games.[4][5]

In 1974, Aurora produced a set of 12-sided poker dice called 'Jimmy the Greek Odds Maker Poker Dice'[6] and in 2000, Aurora/Rex Games produced a similar set under the name 'Royal Poker Dice'.[7] The sets featured five 12-sided dice allowing for all 52 playing cards to be represented. The remaining 8 faces featured stars and acted as wild cards allowing for every possible poker hand to be rolled.

See also[edit]

References[edit]

  1. ^Deep, Ronald (2006), Probability and statistics with integrated software routines, Elsevier Inc., ISBN0-12-369463-9Chapter 1 p 42
  2. ^Bărboianu, Cătălin (2006), Probability Guide to Gambling: The Mathematics of Dice, Slots, Roulette, Baccarat, Blackjack, Poker, Lottery and Sport Bets, INFAROM Publishing, p. 224, ISBN973-87520-3-5Extract of page 224
  3. ^Arneson, Erik (2012). 'The Complete Rules for the Dice Game Poker Dice'. About.com. New York Times Company. 'Board / Card Games' subsite. Archived from the original on 2014-04-12.CS1 maint: unfit url (link)
  4. ^Koplow Games
  5. ^8-sided poker dice on BoardGameGeek.com
  6. ^Jimmy the Greek Odds Maker Poker Dice on BoardGameGeek.com
  7. ^Royal Poker Dice on BoardGameGeek.com

External links[edit]

Poker dice winning hands game
  • Rules for Dice Poker at BrainKing.com (similar to Yahtzee)
  • Arneson, Erik (2012). 'The Complete Rules for the Dice Game Poker Dice'. About.com. New York Times Company. 'Board / Card Games' subsite. Archived from the original on 2014-04-12.CS1 maint: unfit url (link) (no straights)
  • Poker dice at Britannica.com
Retrieved from 'https://en.wikipedia.org/w/index.php?title=Poker_dice&oldid=981922974'

Below is the complete guide for determining how to rank various poker hands. This article covers all poker hands, from hands in standard games of poker, to lowball, to playing with a variety of wild cards. Scroll to the end to find an in-depth ranking of suits for several countries, including many European countries and North American continental standards.

Standard Poker Rankings

A standard deck of cards has 52 in a pack. Individually cards rank, high to low:

Poker

Ace, King, Queen, Jack, 10, 9, 8, 7, 6, 5, 4, 3, 2

In standard poker (in North America) there is no suit ranking. A poker hand has 5 cards total. Higher ranked hands beat lower ones, and within the same kind of hand higher value cards beat lower value cards.

#1 Straight Flush

In games without wild cards, this is the highest ranking hand. It consists of five cards in sequence of the same suit. When comparing flushes, the hand with the highest value high card wins. Example: 5-6-7-8-9, all spades, is a straight flush. A-K-Q-J-10 is the highest ranking straight flush and is called a Royal Flush. Flushes are not permitted to turn the corner, for example, 3-2-A-K-Q is not a straight flush.

#2 Four of a Kind (Quads)

A four of a kind is four cards of equal rank, for example, four jacks. The kicker, the fifth card, may be any other card. When comparing two four of a kinds, the highest value set wins. For example, 5-5-5-5-J is beat by 10-10-10-10-2. If two players happen to have a four of a kind of equal value, the player with the highest ranking kicker wins.

#3 Full House (Boat)

A full house consists of 3 cards of one rank and 2 cards of another. The three cards value determines rank within Full Houses, the player with the highest rank 3 cards wins. If the three cards are equal rank the pairs decide. Example: Q-Q-Q-3-3 beats 10-10-10-A-A BUT 10-10-10-A-A would beat 10-10-10-J-J.

#4 Flush

Any five cards of the same suit. The highest card in a flush determines its rank between other flushes. If those are equal, continue comparing the next highest cards until a winner can be determined.

#5 Straight

Five cards in sequence from different suits. The hand with the highest ranking top card wins within straights. Ace can either be a high card or low card, but not both. The wheel, or the lowest straight, is 5-4-3-2-A, where the top card is five.

#6 Three of a Kind (Triplets/Trips)

A three of a kind is three card of equal rank and two other cards (not of equal rank). The three of a kind with the highest rank wins, in the event they are equal, the high card of the two remaining cards determines the winner.

#7 Two Pairs

A pair is two cards that are equal in rank. A hand with two pairs consists of two separate pairs of different ranks. For example, K-K-3-3-6, where 6 is the odd card. The hand with the highest pair wins if there are multiple two pairs regardless of the other cards in hand. To demonstrate, K-K-5-5-2 beats Q-Q-10-10-9 because K > Q, despite 10 > 5.

#8 Pair

A hand with a single pair has two cards of equal rank and three other cards of any rank (as long as none are the same.) When comparing pairs, the one with highest value cards wins. If they are equal, compare the highest value oddball cards, if those are equal continue comparing until a win can be determined. An example hand would be: 10-10-6-3-2

#9 High Card (Nothing/No Pair)

If your hand does not conform to any of the criterion mentioned above, does not form any sort of sequence, and are at least two different suits, this hand is called high card. The highest value card, when comparing these hands, determines the winning hand.

Low Poker Hand Ranking

In Lowball or high-low games, or other poker games which lowest ranking hand wins, they are ranked accordingly.

A low hand with no combination is named by it's highest ranking card. For example, a hand with 10-6-5-3-2 is described as '10-down' or '10-low.'

Ace to Five

The most common system for ranking low hands. Aces are always low card and straights and flushes do not count. Under Ace-to-5, 5-4-3-2-A is the best hand. As with standard poker, hands compared by the high card. So, 6-4-3-2-A beats 6-5-3-2-A AND beats 7-4-3-2-A. This is because 4 < 5 and 6 < 7.

The best hand with a pair is A-A-4-3-2, this is often referred to as California Lowball. In high-low games of poker, there is often a conditioned employed called 'eight or better' which qualifies players to win part of the pot. Their hand must have an 8 or lower to be considered. The worst hand under this condition would be 8-7-6-5-4.

Duece to Seven

The hands under this system rank almost the same as in standard poker. It includes straights and flushes, lowest hand wins. However, this system always considers aces as high cards (A-2-3-4-5 is not a straight.) Under this system, the best hand is 7-5-4-3-2 (in mixed suits), a reference to its namesake. As always, highest card is compared first. In duece-to-7, the best hand with a pair is 2-2-5-4-3, although is beat by A-K-Q-J-9, the worst hand with high cards. This is sometimes referred to as 'Kansas City Lowball.'

Ace to Six

This is the system often used in home poker games, straights and flushes count, and aces are low cards. Under Ace-to-6, 5-4-3-2-A is a bad hand because it is a straight. The best low hand is 6-4-3-2-A. Since aces are low, A-K-Q-J-10 is not a straight and is considered king-down (or king-low). Ace is low card so K-Q-J-10-A is lower than K-Q-J-10-2. A pair of aces also beats a pair of twos.

In games with more than five cards, players can choose to not use their highest value cards in order to assemble the lowest hand possible.

Hand Rankings with Wild Cards

Poker
HandExact probabilityPercentage1 in ..Example
Five of a kind6 / 77760.08%1296J J J J J
Four of a kind150 / 77761.93%51.810 10 10 10 A
Full house300 / 77763.86%25.9K K K 9 9
Straight240 / 77763.09%32.4A K Q J 10
Three of a kind1200 / 777615.43%6.59 9 9 K J
Two pair1800 / 777623.15%4.3Q Q 9 9 A
One pair3600 / 777646.30%2.210 10 K Q 9
Bust (high card; no pair, no straight)480 / 7776*6.17%16.2A K Q J 9

*Busts have much lower probability than in card poker, because there are only 6 values instead of 13, making pairs and straights much more likely than with cards. In poker dice there are in fact only four possible bust hands: [A K Q J 9], [A K Q 10 9], [A K J 10 9], and [A Q J 10 9]; both other no-pair hands (i.e., in which either the A or the 9 are missing) are straights. Consequently, in some variants of the rules, straights are counted as busts.[3]

Variants[edit]

Marlboro once marketed a set of octahedral poker dice that included suits; each die had slightly different numberings, ranging from 7 up to ace. A similar set is currently manufactured by Koplow Games.[4][5]

In 1974, Aurora produced a set of 12-sided poker dice called 'Jimmy the Greek Odds Maker Poker Dice'[6] and in 2000, Aurora/Rex Games produced a similar set under the name 'Royal Poker Dice'.[7] The sets featured five 12-sided dice allowing for all 52 playing cards to be represented. The remaining 8 faces featured stars and acted as wild cards allowing for every possible poker hand to be rolled.

See also[edit]

References[edit]

  1. ^Deep, Ronald (2006), Probability and statistics with integrated software routines, Elsevier Inc., ISBN0-12-369463-9Chapter 1 p 42
  2. ^Bărboianu, Cătălin (2006), Probability Guide to Gambling: The Mathematics of Dice, Slots, Roulette, Baccarat, Blackjack, Poker, Lottery and Sport Bets, INFAROM Publishing, p. 224, ISBN973-87520-3-5Extract of page 224
  3. ^Arneson, Erik (2012). 'The Complete Rules for the Dice Game Poker Dice'. About.com. New York Times Company. 'Board / Card Games' subsite. Archived from the original on 2014-04-12.CS1 maint: unfit url (link)
  4. ^Koplow Games
  5. ^8-sided poker dice on BoardGameGeek.com
  6. ^Jimmy the Greek Odds Maker Poker Dice on BoardGameGeek.com
  7. ^Royal Poker Dice on BoardGameGeek.com

External links[edit]

  • Rules for Dice Poker at BrainKing.com (similar to Yahtzee)
  • Arneson, Erik (2012). 'The Complete Rules for the Dice Game Poker Dice'. About.com. New York Times Company. 'Board / Card Games' subsite. Archived from the original on 2014-04-12.CS1 maint: unfit url (link) (no straights)
  • Poker dice at Britannica.com
Retrieved from 'https://en.wikipedia.org/w/index.php?title=Poker_dice&oldid=981922974'

Below is the complete guide for determining how to rank various poker hands. This article covers all poker hands, from hands in standard games of poker, to lowball, to playing with a variety of wild cards. Scroll to the end to find an in-depth ranking of suits for several countries, including many European countries and North American continental standards.

Standard Poker Rankings

A standard deck of cards has 52 in a pack. Individually cards rank, high to low:

Ace, King, Queen, Jack, 10, 9, 8, 7, 6, 5, 4, 3, 2

In standard poker (in North America) there is no suit ranking. A poker hand has 5 cards total. Higher ranked hands beat lower ones, and within the same kind of hand higher value cards beat lower value cards.

#1 Straight Flush

In games without wild cards, this is the highest ranking hand. It consists of five cards in sequence of the same suit. When comparing flushes, the hand with the highest value high card wins. Example: 5-6-7-8-9, all spades, is a straight flush. A-K-Q-J-10 is the highest ranking straight flush and is called a Royal Flush. Flushes are not permitted to turn the corner, for example, 3-2-A-K-Q is not a straight flush.

#2 Four of a Kind (Quads)

A four of a kind is four cards of equal rank, for example, four jacks. The kicker, the fifth card, may be any other card. When comparing two four of a kinds, the highest value set wins. For example, 5-5-5-5-J is beat by 10-10-10-10-2. If two players happen to have a four of a kind of equal value, the player with the highest ranking kicker wins.

#3 Full House (Boat)

A full house consists of 3 cards of one rank and 2 cards of another. The three cards value determines rank within Full Houses, the player with the highest rank 3 cards wins. If the three cards are equal rank the pairs decide. Example: Q-Q-Q-3-3 beats 10-10-10-A-A BUT 10-10-10-A-A would beat 10-10-10-J-J.

#4 Flush

Any five cards of the same suit. The highest card in a flush determines its rank between other flushes. If those are equal, continue comparing the next highest cards until a winner can be determined.

#5 Straight

Five cards in sequence from different suits. The hand with the highest ranking top card wins within straights. Ace can either be a high card or low card, but not both. The wheel, or the lowest straight, is 5-4-3-2-A, where the top card is five.

#6 Three of a Kind (Triplets/Trips)

A three of a kind is three card of equal rank and two other cards (not of equal rank). The three of a kind with the highest rank wins, in the event they are equal, the high card of the two remaining cards determines the winner.

#7 Two Pairs

A pair is two cards that are equal in rank. A hand with two pairs consists of two separate pairs of different ranks. For example, K-K-3-3-6, where 6 is the odd card. The hand with the highest pair wins if there are multiple two pairs regardless of the other cards in hand. To demonstrate, K-K-5-5-2 beats Q-Q-10-10-9 because K > Q, despite 10 > 5.

#8 Pair

A hand with a single pair has two cards of equal rank and three other cards of any rank (as long as none are the same.) When comparing pairs, the one with highest value cards wins. If they are equal, compare the highest value oddball cards, if those are equal continue comparing until a win can be determined. An example hand would be: 10-10-6-3-2

#9 High Card (Nothing/No Pair)

If your hand does not conform to any of the criterion mentioned above, does not form any sort of sequence, and are at least two different suits, this hand is called high card. The highest value card, when comparing these hands, determines the winning hand.

Low Poker Hand Ranking

In Lowball or high-low games, or other poker games which lowest ranking hand wins, they are ranked accordingly.

A low hand with no combination is named by it's highest ranking card. For example, a hand with 10-6-5-3-2 is described as '10-down' or '10-low.'

Ace to Five

The most common system for ranking low hands. Aces are always low card and straights and flushes do not count. Under Ace-to-5, 5-4-3-2-A is the best hand. As with standard poker, hands compared by the high card. So, 6-4-3-2-A beats 6-5-3-2-A AND beats 7-4-3-2-A. This is because 4 < 5 and 6 < 7.

The best hand with a pair is A-A-4-3-2, this is often referred to as California Lowball. In high-low games of poker, there is often a conditioned employed called 'eight or better' which qualifies players to win part of the pot. Their hand must have an 8 or lower to be considered. The worst hand under this condition would be 8-7-6-5-4.

Duece to Seven

The hands under this system rank almost the same as in standard poker. It includes straights and flushes, lowest hand wins. However, this system always considers aces as high cards (A-2-3-4-5 is not a straight.) Under this system, the best hand is 7-5-4-3-2 (in mixed suits), a reference to its namesake. As always, highest card is compared first. In duece-to-7, the best hand with a pair is 2-2-5-4-3, although is beat by A-K-Q-J-9, the worst hand with high cards. This is sometimes referred to as 'Kansas City Lowball.'

Ace to Six

This is the system often used in home poker games, straights and flushes count, and aces are low cards. Under Ace-to-6, 5-4-3-2-A is a bad hand because it is a straight. The best low hand is 6-4-3-2-A. Since aces are low, A-K-Q-J-10 is not a straight and is considered king-down (or king-low). Ace is low card so K-Q-J-10-A is lower than K-Q-J-10-2. A pair of aces also beats a pair of twos.

In games with more than five cards, players can choose to not use their highest value cards in order to assemble the lowest hand possible.

Hand Rankings with Wild Cards

Wild cards may be used to substitute any card a player may need to make a particular hand. Jokers are often used as wild cards and are added to the deck (making the game played with 54 as opposed to 52 cards). If players choose to stick with a standard deck, 1+ cards may be determined at the start as wild cards. For example, all the twos in the deck (deuces wild) or the 'one-eyed jacks' (the jacks of hearts and spades).

Wild cards can be used to:

  • substitute any card not in a player's hand OR
  • make a special 'five of a kind'

Five of a Kind

Five of a Kind is the highest hand of all and beats a Royal Flush. When comparing five of a kinds, the highest value five cards win. Aces are the highest card of all.

The Bug

Some poker games, most notably five card draw, are played with the bug. The bug is an added joker which functions as a limited wild card. It may only be used as an ace or a card needed to complete a straight or a flush. Under this system, the highest hand is a five of a kind of aces, but no other five of a kind is legal. In a hand, with any other four of a kind the joker counts as an ace kicker.

Wild Cards – Low Poker

During a low poker game, the wild card is a 'fitter,' a card used to complete a hand which is of lowest value in the low hand ranking system used. In standard poker, 6-5-3-2-joker would be considered 6-6-5-3-2. In ace-to-five, the wild card would be an ace, and deuce-to-seven the wild card would be a 7.

Lowest Card Wild

Home poker games may play with player's lowest, or lowest concealed card, as a wild card. This applies to the card of lowest value during the showdown. Aces are considered high and two low under this variant.

Double Ace Flush

This variant allows the wild card to be ANY card, including one already held by a player. This allows for the opportunity to have a double ace flush.

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Natural Hand v. Wild Hand

There is a house rule which says a 'natural hand' beats a hand that is equal to it with wild cards. Hands with more wild cards may be considered 'more wild' and therefore beat by a less wild hand with only one wild card. This rule must be agreed upon before the deal begins.

Incomplete Hands

If you are comparing hands in a variant of poker which there are less than five cards, there are no straights, flushes, or full houses. There is only four of a kind, three of a kind, pairs (2 pairs and single pairs), and high card. If the hand has an even number of cards there may not be a kicker.

Examples of scoring incomplete hands:

10-10-K beats 10-10-6-2 because K > 6. However, 10-10-6 is beat by 10-10-6-2 because of the fourth card. Also, a 10 alone will beat 9-6. But, 9-6 beats 9-5-3, and that beats 9-5, which beats 9.

Ranking Suits

In standard poker, suits are NOT ranked. If there are equal hands the pot is split. However, depending on the variant of poker, there are situations when cards must be ranked by suits. For example:

  • Drawing cards to pick player's seats
  • Determining the first better in stud poker
  • In the event an uneven pot is to be split, determining who gets the odd chip.

Poker Dice Winning Hands Wins

Typically in North America (or for English speakers), suits are ranked in reverse alphabetical order.

  • Spades (highest suit), Hearts, Diamonds, Clubs (lowest suit)

Suits are ranked differently in other countries/ parts of the world:

  • Spades (high suit), Diamonds, Clubs, Hearts (low suit)
  • Hearts (high suit), Spades, Diamonds, Clubs (low suit) – Greece and Turkey
  • Hearts (high suit), Diamonds, Spades, Clubs (low suit) – Austria and Sweden
  • Hearts (high suit), Diamonds, Clubs, Spades (low suit) – Italy
  • Diamonds (high suit), Spades, Hearts, Clubs (low suit) – Brazil
  • Clubs (high suit), Spades, Hearts, Diamonds (low suit) – Germany

REFERENCES:

http://www.cardplayer.com/rules-of-poker/hand-rankings

https://www.pagat.com/poker/rules/ranking.html

Python - Poker Hand Evaluator Using NumPy

https://www.partypoker.com/how-to-play/hand-rankings.html





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