Dice are among the oldest known instruments of chance in human history. The first objects resembling dice were knucklebones — animal astragali — found in archaeological sites in Mesopotamia dating back more than 5,000 years. At Ur, in present-day Iraq, cubic clay dice were discovered in a royal tomb dated to around 2600 BC. In ancient Egypt, four-sided bone dice were found in tombs of the 18th Dynasty (around 1550–1292 BC). The oldest known cubic die was unearthed at Shahr-e Sukhteh, in Iran, and dates to approximately 2800–2500 BC. In the Indus Valley civilization, terracotta dice were found at the site of Mohenjo-daro, demonstrating that dice games were practiced independently on several continents.
In the Middle Ages, dice were ubiquitous in Europe, to the point of alarming religious and civil authorities. King Louis IX (Saint Louis) banned dice games in France by an ordinance of 1254, viewing them as a source of blasphemy and ruin. In England, Richard the Lionheart imposed a law in 1190, during the Third Crusade, prohibiting soldiers below the rank of knight from playing dice to avoid desertion and brawls. Despite these bans, dice games flourished in taverns. Hazard, the ancestor of modern craps, appeared in England in the 13th century — its name derives from the Arabic "az-zahr" (the die), evidence of cultural exchanges between East and West. During the Renaissance, dicemakers formed specialized guilds in Paris.
In the 17th and 18th centuries, dice played a crucial role in the birth of probability theory. In 1654, the Chevalier de Méré posed to mathematician Blaise Pascal the famous "problem of points" concerning the fair division of stakes in an interrupted dice game. The ensuing correspondence between Pascal and Pierre de Fermat laid the foundations of probability theory. Before them, Italian physician and mathematician Girolamo Cardano had written around 1564 the "Liber de Ludo Aleae" (The Book on Games of Chance), the first systematic treatise on probability applied to dice, though it was not published until 1663. In the 19th century, French emigration to New Orleans transformed Hazard into "craps," which became the iconic dice game of American casinos.
From a mathematical perspective, the standard cubic die (D6) offers perfect symmetry: each face has exactly a 1/6 probability of appearing. The convention whereby opposite faces of a die always total 7 (1–6, 2–5, 3–4) dates back to antiquity and became standardized in Europe from the 14th century onward. Polyhedral dice — D4 (tetrahedron), D8 (octahedron), D10 (pentakis dodecahedron), D12 (dodecahedron), and D20 (icosahedron) — correspond to Platonic solids described in the "Timaeus" around 360 BC. In 2022, a study published by researchers from the University of California at Davis analyzed 110 ancient Roman dice and found that their shape gradually standardized over the centuries, moving from irregular forms to near-perfect cubes.
The psychology of dice players is fascinating. The phenomenon of "the illusion of control," identified by psychologist Ellen Langer in 1975 at Harvard, shows that dice rollers unconsciously believe they can influence the outcome through their gesture. Craps players at the casino throw harder when they want a high number and more gently for a low number. Dice cheating has a long history: loaded dice (weighted or deformed) have been found in Roman and Viking archaeological excavations. In Pompeii, loaded bone dice from the 1st century were discovered in a tavern. Today, Las Vegas casinos use "precision" dice manufactured to a tolerance of 1/10,000th of an inch, transparent so that no weighting can be concealed.
The contemporary use of dice was revolutionized by role-playing games. In 1974, Gary Gygax and Dave Arneson published Dungeons & Dragons, popularizing the use of polyhedral dice (D4, D8, D10, D12, D20) to resolve character actions. The D20 became so iconic that it symbolizes the entire role-playing game culture. The global dice market is estimated at several billion dollars, fueled by the revival of board and role-playing games. Virtual dice, which appeared with the digital age, use pseudo-random number generators (PRNG) that offer superior mathematical fairness to physical dice — a well-implemented algorithm produces a uniform distribution of 16.667% per face, without the micro-imperfections of a real die. Platforms like Roll20 process hundreds of millions of virtual dice rolls per year for online role-playing sessions.