Play Backgammon

How to Play Backgammon: Rules, Odds, Tactics and History

A race for two players: move all 15 of your checkers around the board and off it before your opponent does. The dice decide how far you go. The skill is in what you do with them, and in catching your opponent's lone checkers and sending them back to the start.

1The board and the setup

The board has 24 narrow triangles called points, in four quarters of six, with a ridge down the middle called the bar. Points are numbered from your side: your home board is points 1 to 6, your outer board 7 to 12, then your opponent's outer board (13 to 18) and their home board (19 to 24). Your opponent numbers them the other way round, so your 24 point is their 1 point.

You move your checkers from 24 down to 1: along the top from right to left, down, along the bottom from left to right, and finally off the board. Your opponent goes the opposite way, so the two armies pass each other.

Add up how far every checker still has to go and you get your pip count: 167 each at the start. It is the simplest way to see who is ahead in the race.

2Moving: two dice, and doubles

Roll two dice. Each number is a separate move: you can move two checkers, one by each number, or one checker by both, one number after the other.

A 5 and a 3: move one checker 5 points and another 3, or one checker 5 and then 3 more.

A checker can land on any point that is empty, holds your own checkers, or holds just one enemy checker. It can never land on a point with two or more enemy checkers. When you move one checker by both numbers, the point it stops on in between has to be open too.

Doubles play four times: a double 4 is four moves of 4. You'll roll doubles one roll in 6.

Two more rules decide what you have to play:

Our board never asks you to work this out: it only lets you pick moves that keep to these rules. If you can't move at all, it passes your turn for you; otherwise you tap Done once your dice are played.

On average a roll moves you 8.17 pips, counting doubles four times. A double 6 is worth 24.

3Hitting, and the odds of being hit

A checker on its own is a blot. If your opponent lands on it, it is hit: it goes onto the bar, and it has to come back in at the far end and start its whole journey again. A blot deep in your home board loses almost all its progress. Two or more checkers on a point are safe.

How likely a hit is depends on the distance. Within 6 pips, a single die can do it, so the chance is high: 31% to 47%. From 7 pips on it takes both dice, and the chance falls to 17% or less:

Rolls out of 36 that hit a blot this many pips in front of one enemy checker, with nothing in between to block the way. Exactly 6 pips away is the worst place to stop.

Beyond 12 pips only doubles reach, and only some distances: a blot 15, 16, 18 or 20 pips away is hit by just 1 roll in 36, and at 13 or 14 pips one checker can't hit it at all. Every point your opponent can't land on between the hitter and your blot blocks some of these rolls, which is one more reason to make points.

4The bar: coming back in

A checker on the bar re-enters in your opponent's home board: a roll of 1 puts it on your 24 point, a 2 on your 23 point, and so on to a 6 on your 19 point. It can enter only on a point that is open to you.

Every point your opponent closes in their home board makes it harder to get back in:

Points they have closedOne checker on the bar: it gets inTwo on the bar: both get in
197%69%
289%44%
375%25%
456%11%
531%3%
6 (closed out)0%0%

It works both ways. Each point you make in your home board shuts a door on your opponent's hit checkers. Close all six and a checker on the bar can't come in at all until you open one.

5Bearing off

Once all 15 of your checkers are in your home board, you can start taking them off. A roll of 6 bears off a checker from the 6 point, a 5 from the 5 point, and so on. You can also use a number to move a checker inside your home board instead.

Near the end it's all about the dice. Two checkers left on your 1 and 2 points come off with any roll (100%). Two on your 6 and 5 points need a 6-5 or a big double: 6 rolls in 36 (17%). Two on the 6 point need a double 3 or higher: 11%.

6Winning: gammons and backgammons

The first player to bear off all 15 checkers wins. How big the win is depends on the loser:

ResultWhen
Single winThe loser has borne off at least one checker.
GammonThe loser hasn't borne off any checkers.
BackgammonA gammon where the loser also still has a checker on the bar or in the winner's home board.

In our game a gammon or a backgammon earns you extra XP on top of the win. They are not rare: when we played our computer opponent at its strongest against itself, 18% of games ended in a gammon and another 7% in a backgammon.

7Four habits, tested

Backgammon strategy fills books. These are the beginner habits that made the biggest difference when we put them to the test. We took our own computer opponent at its strongest and played 4,000 games against a copy of itself with one habit changed, swapping seats and who rolls first every game.

  1. Hit when you can. Sending a checker back costs your opponent every pip it had travelled, plus a turn spent getting back in.
  2. Count the shots before you leave a blot. Use the chart above: 6 pips in front of an enemy checker is 47%; 11 pips is 6%.
  3. Worry about shots, not blots. A blot nothing can reach is fine. Breaking up your position to leave fewer blots is not.
  4. Don't play scared. The play that leaves no shot at all is not always the best one.
The habitAgainst a copy that…Games won by the habit
Hit when you cannever hits unless every play hits78%
Count the shotsignores the risk to its own blots69%
Shots, not blotsjust leaves as few blots as it can72%
Don't play scaredalways takes a play that leaves no shot, if there is one57%

The last one is "count the shots" turned into a blunt rule, and it loses: safety matters, but not at any price. Hitting matters enormously too. Weigh the two against each other on each roll.

What about making points, building a wall, not stacking? They matter: the entry table above shows what a closed home board does. But as separate habits, on top of hitting and counting shots, each one added little in our games (53% for valuing home-board points, 51% for walls of points in a row, 52% for not piling checkers up). A made point is two checkers, so a player who counts shots is already making them.

Does going first matter? Against our computer opponent you always roll first, and it makes no real difference: across 12,000 games between two copies of our strongest opponent, whoever rolled first won 50%.

8TriGammon: backgammon for three

TriGammon is our three-player version, on a Y-shaped board: 3 arms of 12 points each, 36 points in all, and 15 checkers for each of the 3 players.

TriGammon comes from a page on William A. Sethares's website, where each player meets one opponent in the first half of the journey and the other in the second.[1] That page leaves the opening roll and the order of finish open, so those two are our own rules.

Play TriGammon

9Our rules, and other versions

Our Backgammon plays the standard moves: the setup, the dice, hitting, the bar and bearing off above are the rules you'll find on any board. Where we differ is in what sits around the game:

The rules you'll meet elsewhere:

And other games on the same board:

10A short history

An old family, a younger game. Backgammon belongs to one of the oldest families of board games. The game with that name, and with the doubling cube, took shape much later, between the 1600s and the 1920s.

The Romans played a dice race on a board of three rows of twelve, divided into sixes. It was called the game of twelve lines, duodecim scripta, and later simply alea, "dice".[11] According to the classicist R. G. Austin, a quicker game grew out of it when the middle row was dropped, leaving two rows of twelve.[12] The oldest game we can be sure had backgammon's numbers is in a Greek poem by Agathias, written in the 6th century AD. It describes a position from a game of tabla played by the Emperor Zeno, who reigned from 474 to 491: count the points and pieces and you get 24 points and 15 pieces a side, just as in backgammon. But Zeno threw three dice, not two.[13][12]

In Persia the game is nard. Persian tradition puts its invention in the 3rd or the 6th century AD, and the oldest object that shows it is a 7th-century bowl of gilded silver.[11] A Middle Persian text, the Wizārišn ī čatrang, tells how the sage Wuzurgmihr invented it: the board stands for the earth, the 30 pieces for the days and nights of a month, and the throw for the turning of the stars.[11][14] Scholars date the core of the text to the late Sasanian period, but treat the story itself as legend.[14]

Not 5,000 years old. A board from the Burnt City (Shahr-e Sukhteh) in Iran is often called the world's oldest backgammon set. It isn't backgammon: it is a 20-square race board, from the same family as the Royal Game of Ur, and backgammon's board doesn't come from that family.[11]

Medieval Europe played many games on the backgammon board. In 1283 Alfonso X of Castile's Book of Chess, Dice and Tables described a whole family of them, one of which, todas tablas, was set up like modern backgammon.[15][16] The English word backgammon is first recorded in the mid-1600s. Where it comes from is uncertain, though "gammon" may be an old form of "game".[17][18] In 1743 Edmond Hoyle published A Short Treatise on the Game of Back-Gammon, with "The Laws of the Game".[19]

Doubling, the idea behind the cube, reached New York's clubs in the late 1920s, and the doubling cube itself appears by 1930.[20][21] In 1931 a committee at New York's Racquet and Tennis Club, organised by Wheaton Vaughan, drew up Laws of Backgammon that included doubling.[20] The game boomed again in the 1960s. In 1964 Prince Alexis Obolensky held the first international tournament, in the Bahamas,[22][23] and in 1967 Las Vegas hosted the first event called a World Championship, won by Tim Holland.[22][24]

Backgammon also made computer history. In the early 1990s Gerald Tesauro, at IBM, built TD-Gammon, a program that taught itself the game by playing against itself, and it came close to the level of the best human players.[25]

Sources

  1. William A. Sethares, "TriGammon – Backgammon for Three Players", University of Wisconsin–Madison. sethares.engr.wisc.edu
  2. U.S. Backgammon Federation (USBGF Education Team), "Backgammon Basics: How to Play", rules text from Tom Keith's Backgammon Galore. usbgf.org
  3. Ministry of Sport of the Russian Federation, Rules of the sport "nardy" (Правила вида спорта «нарды»), order no. 347, 30 April 2025, §§ 20, 26. pravo.ppt.ru
  4. Encyclopaedia Britannica, "backgammon". britannica.com
  5. U.S. Backgammon Federation, Tournament Rules, 2025. usbgf.org (PDF)
  6. World Backgammon Federation, Tournament Rules, edition 2.1, 2023, § 4.4. wbgf.info (PDF)
  7. Kit Woolsey, "Nackgammon", GammOnLine, September 2001, reprinted at bkgm.com. bkgm.com
  8. GNU Backgammon manual. gnu.org
  9. Encyclopaedia Britannica, "acey-deucey". britannica.com
  10. Tom Keith, Backgammon Galore: "Portes", "Plakoto" and "Fevga". bkgm.com
  11. Ulrich Schädler and Anne-Elizabeth Dunn-Vaturi, "Board Games in pre-Islamic Persia", Encyclopaedia Iranica, 2009. iranicaonline.org
  12. R. G. Austin, "Greek Board Games", Antiquity 14, 1940, pp. 257–271. web.archive.org
  13. Agathias, in W. R. Paton (trans.), The Greek Anthology, vol. III, Loeb Classical Library, 1915, Book IX, no. 482, pp. 268–269. archive.org
  14. Antonio Panaino, "Wizārišn ī čatrang ud nihišn ī nēw-ardaxšīr", Encyclopaedia Iranica, 2017. iranicaonline.org
  15. Universidad Complutense de Madrid, Biblioteca, Alfonso X, Libro del ajedrez, dados y tablas, 1283 (El Escorial, RBME Ms. T-I-6). biblioteca.ucm.es
  16. Ludii Portal (Digital Ludeme Project), "Todas Tablas", after the Libro de los juegos and H. J. R. Murray (1951). ludii.games
  17. Dictionary.com (Random House), "backgammon" and "gammon". dictionary.com
  18. Collins English Dictionary, "backgammon". thefreedictionary.com
  19. Edmond Hoyle, A Short Treatise on the Game of Back-Gammon, London, 1743. archive.org
  20. Albert Steg, "A 1930's Chronology", BG Museum, New England Backgammon Club. nebackgammon.org
  21. Oswald Jacoby, "Backgammon History", Las Vegas Backgammon Magazine, December 1981, reprinted at bkgm.com. bkgm.com
  22. U.S. Backgammon Federation, American Backgammon Hall of Fame, "Alexis Obolensky". usbgf.org
  23. Edwin Shrake, "Everyone for Backgammon", Sports Illustrated, 3 May 1964, reprinted at bkgm.com. bkgm.com
  24. U.S. Backgammon Federation, American Backgammon Hall of Fame, "Tim Holland". usbgf.org
  25. Gerald Tesauro, "Temporal Difference Learning and TD-Gammon", Communications of the ACM 38(3), 1995. bkgm.com

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