Printable Dice Game Instructions
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Pig is a simple dice game first described in print by John Scarne in 1945.[1] Players take turns to roll a single die as many times as they wish, adding all roll results to a running total, but losing their gained score for the turn if they roll a 1. Fruit machine games.
As with many games of folk origin, Pig is played with many rule variations, including the use of two dice instead of one. Commercial variants of two-dice Pig include Pass the Pigs, Pig Dice,[2] and Skunk[3]. Pig is commonly used by mathematics teachers to teach probability concepts.
Pig is one of a family of dice games described by Reiner Knizia as 'jeopardy dice games', where the dominant type of decision is whether or not to jeopardize previous gains by rolling for potential greater gains.[4]
Gameplay[edit]
Each turn, a player repeatedly rolls a die until either a 1 is rolled or the player decides to 'hold':
- If the player rolls a 1, they score nothing and it becomes the next player's turn.
- If the player rolls any other number, it is added to their turn total and the player's turn continues.
- If a player chooses to 'hold', their turn total is added to their score, and it becomes the next player's turn.
The first player to score 100 or more points wins.
For example, the first player, Donald, begins a turn with a roll of 5. Donald could hold and score 5 points, but chooses to roll again. Donald rolls a 2, and could hold with a turn total of 7 points, but chooses to roll again. Donald rolls a 1, and must end his turn without scoring. The next player, Alexis, rolls the sequence 4-5-3-5-5, after which she chooses to hold, and adds her turn total of 22 points to her score.
Optimal play[edit]
Optimal play for 2-player Pig was computed by Todd W. Neller[5] and visualized by Clifton G. M. Presser in 2001.[6] At any time, the relevant decision information includes the player's score, the opponent's score, and the turn total. Such information corresponds to a 3D point in the graph's space. If this point is inside the gray solid, the player should roll. Otherwise, the player should hold.
Many 2-dice variants have been analysed,[7] and human-playable Pig strategies have been compared to optimal play.[8]
Variations[edit]
Common rule variations include:[9]
- Two dice: two dice are rolled instead of one (See 'Two Dice Pig' below)
- Any number of dice ('Hog' variation): the player rolls only once per turn with an arbitrary number of dice.
- 6 is bad: a roll of 6 is treated as a roll of 1.
Two-Dice Pig[edit]
This variation is the same as Pig, except: https://softwareaurora.mystrikingly.com/blog/how-to-remove-macbook-air-password.
- Two standard dice are rolled. If neither shows a 1, their sum is added to the turn total.
- If a single 1 is rolled, the player scores nothing and the turn ends.
- If two 1s are rolled, the player's entire score is lost, and the turn ends.
- If a double is rolled, the point total is added to the turn total as with any roll but the player is obligated to roll again (possible sub-variation of the two-dice game)
Big Pig[edit]
This variation is the same as Two-Dice Pig, except:
- If two 1s are rolled, the player adds 25 to the turn total.
- If other doubles are rolled, the player adds twice the value of the dice to the turn total.
Skunk[edit]
Skunk (or Think) is a variation of Two-Dice Pig that is played with large groups. Rather than rolling in turn, all players begin the round standing. At any point in the round, a player may hold by sitting down. The round continues until a 1 is rolled, or all players have sat down. Skunk is played in five rounds, and scoring is recorded in a 5-column table with columns labeled with the letters of the word 'SKUNK'. The first round score is entered in the 'S'-column, the next in the first 'K'-column, and so on. After five rounds, the highest-scoring player is the winner.[10]
Teaching[edit]
Pig often serves as a simple example for teaching probability concepts from the middle school level upwards. The game also provides exercises for teaching Computer Science in areas ranging from introductory courses to advanced machine learning material.[11]
References[edit]
- ^Scarne, John (1945). Scarne on Dice. Harrisburg, Pennsylvania: Military Service Publishing Co.
- ^Pig at BoardGameGeek
- ^Pig at BoardGameGeek
- ^Reiner Knizia, Dice Games Properly Explained. Elliot Right-Way Books, 1999
- ^Todd W. Neller and Clifton G.M. Presser. Optimal Play of the Dice Game Pig, The UMAP Journal 25(1) (2004), pp. 25–47.
- ^http://cs.gettysburg.edu/projects/pig/pigVis.html
- ^Todd W. Neller and Clifton G.M. Presser. Pigtail: A Pig Addendum, The UMAP Journal 26(4) (2005), pp. 443–458.
- ^Todd W. Neller and Clifton G.M. Presser. Practical Play of the Dice Game Pig, The UMAP Journal 31(1) (2010), pp. 5–19.
- ^http://cs.gettysburg.edu/projects/pig/piglinks.html
- ^http://illuminations.nctm.org/index_d.aspx?id=248
- ^Todd W. Neller, Clifton G.M. Presser, Ingrid Russell, Zdravko Markov. Pedagogical Possibilities for the Dice Game Pig. Journal of Computing Sciences in Colleges, vol. 21, no. 6, pp. 149–161, June 2006.
External links[edit]
Sic bo (骰寶), also known as tai sai (大細), dai siu (大小), big and small or hi-lo Do casinos cheat. , is an unequal game of chance of ancient Chinese origin played with three dice. Grand hazard and chuck-a-luck are variants, both of English origin. The literal meaning of sic bo is 'precious dice', while dai siu and dai sai mean 'big [or] small'.
Sic bo is a casino game, popular in Asia and widely played (as dai siu) in casinos in Macau. It is played in the Philippines as hi-lo.[1] It was introduced to the United States by Chinese immigrants in the early 20th century, and can now be found in most American casinos. Since 2002, it can be played legally in licensed casinos in the United Kingdom.
Gameplay involves betting that a certain condition (e.g. that all three dice will roll the same) will be satisfied by a roll of the dice.[2]
Gameplay[edit]
Players place their bets on certain areas of the table as shown in the picture above. The dealer then picks up a small chest containing the dice, which he/she closes and shakes. Download microsoft word 2017 pc. Finally the dealer opens the chest to reveal the combination.
Comparison to craps[edit]
Sic bo is one of two casino games involving dice, the other being craps. Sic bo is strictly a game of chance because every roll on the dice results a win or loss on any bet. In craps, some bets require certain rolls before they can become winning or losing bets, thus encouraging strategy.
Betting options[edit]
Type | Wager | Probability | United Kingdom | New Zealand | Macau | No House Edge | |||
---|---|---|---|---|---|---|---|---|---|
Odds | House Edge | Odds | House Edge | Odds | House Edge | Odds | |||
Big (大) | The total score will be from 11 to 17 (inclusive) with the exception of a triple | 48.61% | 1 to 1 | 2.78% | 1 to 1 | 2.78% | 1 to 1 | 2.78% | 37 to 35 |
Small (小) | The total score will be from 4 to 10 (inclusive) with the exception of a triple | 48.61% | 1 to 1 | 2.78% | 1 to 1 | 2.78% | 1 to 1 | 2.78% | 37 to 35 |
Odd | The total score will be an odd number with the exception of a triple | 48.61% | 1 to 1 | 2.78% | 1 to 1 | 2.78% | 37 to 35 | ||
Even | The total score will be an even number with the exception of a triple | 48.61% | 1 to 1 | 2.78% | 1 to 1 | 2.78% | 37 to 35 | ||
Specific 'Triples' or 'Alls' (圍一 圍二 圍三 圍四 圍五 圍六) | A specific number will appear on all three dice | 0.46% | 180 to 1 | 16.2% | 180 to 1 | 16.2% | 150 to 1 | 30.1% | 215 to 1 |
Specific Doubles | A specific number will appear on at least two of the three dice | 7.41% | 10 to 1 | 18.5% | 11 to 1 | 11.1% | 8 to 1 | 33.3% | 25 to 2 |
Any Triple or All 'Alls' (全圍) | Any of the triples will appear | 2.8% | 30 to 1 | 13.9% | 31 to 1 | 11.1% | 24 to 1 | 30.6% | 35 to 1 |
Three Dice Total (a specific total score in the range of 4 to 17 inclusive) | 4 or 17 | 1.4% | 60 to 1 | 15.3% | 62 to 1 | 12.5% | 50 to 1 | 29.2% | 71 to 1 |
5 or 16 | 2.8% | 30 to 1 | 13.9% | 31 to 1 | 11.1% | 18 to 1 | 47.2% | 35 to 1 | |
6 or 15 | 4.6% | 18 to 1 | 12% | 18 to 1 | 12% | 14 to 1 | 30.6% | 103 to 5 | |
7 or 14 | 6.9% | 12 to 1 | 9.7% | 12 to 1 | 9.7% | 12 to 1 | 9.7% | 67 to 5 | |
8 or 13 | 9.7% | 8 to 1 | 12.5% | 8 to 1 | 12.5% | 8 to 1 | 12.5% | 65 to 7 | |
9 or 12 | 11.6% | 7 to 1 | 7.4% | 7 to 1 | 7.4% | 6 to 1 | 19% | 191 to 25 | |
10 or 11 | 12.5% | 6 to 1 | 12.5% | 6 to 1 | 12.5% | 6 to 1 | 12.5% | 7 to 1 | |
Dice Combinations | Two of the dice will show a specific combination of two different numbers (for example, a 3 and a 4) | 13.9% | 6 to 1 | 2.8% | 6 to 1 | 2.8% | 5 to 1 | 16.7% | 31 to 5 |
Single Dice Bet | The specific number 1, 2, 3, 4, 5, or 6 will appear on one, two, or all three dice | 1: 34.72% 2: 6.94% 3: 0.46% | 1: 1 to 1 2: 2 to 1 3: 3 to 1 | 7.9% | 1: 1 to 1 2: 2 to 1 3: 12 to 1 | 3.7% | 1: 1 to 1 2: 2 to 1 3: 3 to 1 | 7.9% | 1: 1 to 1 2: 3 to 1 3: 5 to 1 (simplest version) |
Four Number Combination | Any three of the four numbers in one of the following specific combinations will appear: 6, 5, 4, 3; 6, 5, 3, 2; 5, 4, 3, 2; or 4, 3, 2, 1 | 11.1% | 7 to 1 | 11.1% | 7 to 1 | 11.1% | 7 to 1 | 11.1% | 8 to 1 |
Three Single Number Combination | The dice will show a specific combination of three different numbers | 2.8% | 30 to 1 | 13.9% | 30 to 1 | 13.9% | 35 to 1 | ||
Specific Double and Single Number Combination | Two of the dice will show a specific double and the third die will show a specific, different number | 1.4% | 50 to 1 | 29.2% | 60 to 1 | 15.3% | 71 to 1 |
The most common wagers are 'Big' and 'Small'.
Big Dice Game
Variants[edit]
Grand Hazard is a gambling game of English origin, also played with three dice. It is distinct from Hazard, another gambling game of English origin, played with two dice. The dice are either thrown with a cup or rolled down a chute containing a series of inclined planes ('hazard chute') that tumble the dice as they fall.[3] Threes-of-a-kind are known as 'raffles' and pay out at 18 to 1.
Chuck-a-luck, also known as 'sweat cloth', 'chuckerluck' and birdcage,[3] is a variant in the United States, which has its origins in grand hazard. The three dice are kept in a device that resembles a wire-frame bird cage and that pivots about its centre. The dealer rotates the cage end over end, with the dice landing on the bottom. Chuck-a-luck usually features only the single-number wagers, sometimes with an additional wager for any 'triple' (all three dice showing the same number) with odds of 30 to 1 (or thereabouts). Chuck-a-luck was once common in Nevada casinos but is now rare, frequently having been replaced by sic bo tables.
See also[edit]
- Cee-lo - a gambling game played with three six-sided dice
Notes[edit]
- ^Online Online Sic Bo Guide
- ^'Rules and Strategies for Sic Bo'. Retrieved December 3, 2010.
- ^ abThe Official World Encyclopaedia of Sports and Games 1979 Diagram Group p 128
References[edit]
Regulation in the United Kingdom
Roll A Die! Online Dice!
Regulation in New Zealand Hp envy scan to computer software.