Poker Dice Table
Poker dice have six sides, one each of an Ace, King, Queen, Jack, 10, and 9, and are used to form a poker hand. Poker Dice Rules In this simple little dice game, your goal is to roll the best possible poker hand. To play, you'll need five regular 6-sided dice, although having special Poker Dice certainly adds to the fun.
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.
As a game[edit]
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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):
Hand | Exact probability | Percentage | 1 in ... | Example |
---|---|---|---|---|
Five of a kind | 6 / 7776 | 0.08% | 1296 | J J J J J |
Four of a kind | 150 / 7776 | 1.93% | 51.8 | 10 10 10 10 A |
Full house | 300 / 7776 | 3.86% | 25.9 | K K K 9 9 |
Straight | 240 / 7776 | 3.09% | 32.4 | A K Q J 10 |
Three of a kind | 1200 / 7776 | 15.43% | 6.5 | 9 9 9 K J |
Two pair | 1800 / 7776 | 23.15% | 4.3 | Q Q 9 9 A |
One pair | 3600 / 7776 | 46.30% | 2.2 | 10 10 K Q 9 |
Bust (high card; no pair, no straight) | 480 / 7776* | 6.17% | 16.2 | A 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]
- ^Deep, Ronald (2006), Probability and statistics with integrated software routines, Elsevier Inc., ISBN0-12-369463-9Chapter 1 p 42
- ^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
- ^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)
- ^Koplow Games
- ^8-sided poker dice on BoardGameGeek.com
- ^Jimmy the Greek Odds Maker Poker Dice on BoardGameGeek.com
- ^Royal Poker Dice on BoardGameGeek.com
Poker Dice Game Table
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
On This Page
Introduction
Poker Dice is a game of chance available at Internet casinos using Wager Gaming Technology and 1x2 Gaming software. The game is based on rolling five poker dice and trying to form a paying poker hand.
Rules
- The player makes a bet.
- The game uses five poker dice. A poker die has on its six faces a 9, 10, jack, queen, king, and ace.
- The player is paid according to the poker value of the five dice, according to one of the following pay tables. All pays are on a 'for one' basis.
Wager Gaming Pay Table
Hand | Pays |
---|---|
Five of a kind | 100 |
High straight | 6 |
Low straight | 5 |
Four of a kind | 4 |
Full house | 3 |
Three of a kind | 2 |
Two pair | 1 |
Loser | 0 |
1x2 Gaming Pay Table
Hand | Pays |
---|---|
Golden royal | 50 |
Golden straight | 35 |
Five of a kind | 20 |
High straight | 6 |
Low straight | 5 |
Four of a kind | 4 |
Full house | 3 |
Three of a kind | 2 |
Two pair | 1 |
Pair of aces | 0.5 |
A Golden royal is a sequential and ascending straight to the ace. I guess there is a specific way they order the dice. A Golden straight is a sequential and ascending straight to the king. Dice in the correct order are shown in a golden color.
Wager Gaming Analysis
The following table shows the number of combinations, probability, and return from each outcome. The lower right cell shows a return of 97.99%.
Valley Poker Dice Table Machine
Return Table
Hand | Pays | Permutations | Probability | Return |
---|---|---|---|---|
Five of a kind | 100 | 6 | 0.000772 | 0.077160 |
High straight | 6 | 120 | 0.015432 | 0.092593 |
Low straight | 5 | 120 | 0.015432 | 0.077160 |
Four of a kind | 4 | 150 | 0.019290 | 0.077160 |
Full house | 3 | 300 | 0.038580 | 0.115741 |
Three of a kind | 2 | 1,200 | 0.154321 | 0.308642 |
Two pair | 1 | 1,800 | 0.231481 | 0.231481 |
Loser | 0 | 4,080 | 0.524691 | 0.000000 |
Total | 7,776 | 1.000000 | 0.979938 |
1x2 Gaming Analysis
The following table shows the number of combinations, probability, and return from each outcome. The lower right cell shows a return of 96.63%.
Return Table
Hand | Pays | Permutations | Probability | Return |
---|---|---|---|---|
Golden royal | 50 | 1 | 0.000129 | 0.006430 |
Golden straight | 35 | 1 | 0.000129 | 0.004501 |
Five of a kind | 20 | 6 | 0.000772 | 0.015432 |
High straight | 6 | 119 | 0.015303 | 0.091821 |
Low straight | 5 | 119 | 0.015303 | 0.076517 |
Four of a kind | 4 | 150 | 0.019290 | 0.077160 |
Full house | 3 | 300 | 0.038580 | 0.115741 |
Three of a kind | 2 | 1,200 | 0.154321 | 0.308642 |
Two pair | 1 | 1,800 | 0.231481 | 0.231481 |
Pair of aces | 0.5 | 600 | 0.077160 | 0.038580 |
All other | 0 | 3,480 | 0.447531 | 0.000000 |
Total | 7,776 | 1.000000 | 0.966307 |
Valley Poker Dice Table For Sale
Math Lesson
I explain how the number of permutations of each hand in my page on Dazzling Dice, except the two pair, which doesn't pay in that game.
In a two pair, there are combin(6,2)=15 possible ways to choose two ranks out of five for the two pair. Then there are four ways left to choose the rank of the singleton. Then there are combin(5,2)=10 ways to choose the positions of the first pair. Then there are combin(3,2)=3 ways to choose the positions of the second pair. Thus, the total number of permutations for a two pair are 15×4×10×3 = 1,800.
External Links
- Poker Dice on the F1x2 platform — Specifications for the 1x2 Gaming version of Poker Dice. Without this, I'd have never known what a Golden Royal and Golden Straight were.
- What is a Golden Royal — Discussion about my frustration with determining what a Golden Royal is.
Written by:Michael Shackleford