Craps

History and Development

Craps is a descendant of dice games with very long pedigrees. The basic act of casting two six-sided dice and interpreting combinations for outcomes dates back to antiquity, but the identifiable lineage of modern craps is generally traced to European games such as the English game of "hazard" and various street dice games played in the 18th and 19th centuries. The transition from hazard to what became known as craps is attributable to regional simplifications and American innovations during the early 19th century. Several historical accounts position the formalization of the game in North America during the early 1800s, when immigrants and sailors brought dice games to port cities where they evolved in taverns and on riverboats.

The name "craps" is often reputed to derive from a corruption of the French word "crapaud" (toad), used in some dialects for low dice rolls, though etymological evidence is mixed. Another line of etymology connects craps to the word "crabs," a term historically used for certain unlucky dice throws. By the mid-19th century, simplified hazard-like rules were in circulation among gamblers in New Orleans and other urban centers, and these regional variants gradually coalesced into the set of rules recognized today. The game’s popularity expanded with the spread of casinos and organized gambling venues.

In the 20th century, craps became a staple of both land-based casinos and riverboat gambling in the United States. During Prohibition and afterward, the game frequently appeared in underground gambling houses and legitimate establishments alike. The introduction of modern casino operations standardized table layouts, commission structures, and administrative rules. The rise of Las Vegas as a gaming center in the mid-20th century established craps as one of the signature social table games, notable for its communal atmosphere and fast pace.

"Craps in casinos matured as a codified, communal game, where the rhythm of the dice and the call-and-response of bettors define both entertainment and probability."

Regulatory regimes in different jurisdictions have influenced the way craps is operated. Various municipalities introduced licensing requirements, table minimums, and bet restrictions that shaped local practice. In the late 20th and early 21st centuries, the game migrated to regulated online platforms as well, with digital implementations preserving the rule structure while automating dice generation and bet handling. Historical milestones include the categorization of specific wagers, adoption of layout conventions, and formalization of the come-out roll mechanics that separate immediate resolutions from multi-roll propositions. For academic and recreational historians, craps offers a case study in how a folk pastime can be standardized into a complex commercial game with enduring global appeal.^[1]

Rules and Gameplay

The modern structure of craps centers on sequences of dice rolls, where the initial roll of a sequence is called the "come-out roll." On the come-out roll, certain totals produce immediate results: a total of 7 or 11 is a natural and typically results in an immediate win for pass-line bets, while totals of 2, 3, or 12 are craps and typically cause a loss for a pass-line bet (with variations in the treatment of 12 known as "push" in some jurisdictions). If the come-out roll produces any other total - specifically 4, 5, 6, 8, 9, or 10 - that number becomes the "point." Once a point is established, subsequent rolls continue until either the point is rolled again (a pass-line win) or a 7 is rolled (a pass-line loss, often called "seven-out"). The cycle then resets to a new come-out roll.

Play at the craps table is organized around a layout with marked betting areas. The primary two bets are the pass-line bet and the don't-pass bet. The pass-line wager is placed before the come-out roll and wins on natural totals (7 or 11) and loses on craps (2, 3, 12). If a point is established, the pass-line bet wins if the point is made before a 7 appears, and loses if a 7 appears first. The don't-pass wager is effectively the opposite: it wins on come-out craps (with nuanced exceptions depending on the casino) and on the subsequent roll of a 7 before the point, while it loses on come-out naturals and when the point is made before a 7. Rules for betting windows, odds behind pass/don't-pass, and availability of certain bets vary by venue and regulation.

Beyond the pass/don't-pass pair, additional betting options are available to players. The come and don't-come bets mirror pass-line and don't-pass mechanics but apply after a point has been set and are resolved relative to a new sub-sequence beginning on the next roll. Place bets allow players to wager that a particular number (4, 5, 6, 8, 9, or 10) will be rolled before a 7; these bets pay different amounts depending on the number chosen. Field bets, proposition bets, and hard-way bets offer single-roll or conditional multi-roll outcomes with distinct payout schedules and house edges. Casinos generally publish the paytables and any exceptions on or near the table, and players are expected to place legal wagers only within the designated spaces.

Practical play includes conventions designed to maintain pace and fairness: the shooter (the player who rolls the dice) must make a minimum wager, typically a pass-line bet or to the box, before the come-out roll. Dice must be tossed with both dice hitting the far wall of the table to ensure randomization, and dealers supervise the table to manage bets and settle winnings. In modern regulated casinos, casino personnel enforce rules for acceptable behavior, management of chips, and handling of disputes. The exact numeric payouts and allowed side bets differ across establishments, but the core cycle of come-out roll, point establishment, and resolution remains the universal backbone of craps.

Terminology, Bets, and Payouts (with Table)

Craps employs a specialized vocabulary that describes dice totals, bet types, and in-game events. Common terms include "come-out" (the initial roll of a sequence), "point" (the target number established by the come-out roll), "seven-out" (a seven that ends a point cycle unfavorably for pass-line players), "hard way" (a pair-based total such as 4 as two twos), "natural" (an immediate winning come-out total of 7 or 11), and "craps" (a come-out total of 2, 3, or 12 that usually produces an immediate loss for pass-line bets). Dealers and players use shorthand phrases such as "place to 6" (wager that 6 will occur before a 7) and "buy 4" (a bet similar to place with commission adjustment).

Bet variety is a distinguishing feature of craps, ranging from low-house-edge wagers to high-risk proposition bets. Below is a concise table showing representative bets, typical payouts, and commonly cited house-edge figures (note: specific house edges and payouts vary by casino policy and local rules):

The table above is illustrative rather than exhaustive. Proposition bets (such as hard ways, specific totals on a single roll, or combinations) frequently carry the largest house edges and the greatest variance, while pass-line bets with odds (additional wagers placed behind the pass line after a point is established that pay true odds with no commission) are typically the most favorable from a mathematical perspective. Odds bets are attractive because they pay at true odds and therefore carry no house edge; casinos restrict the maximum multiple of odds allowed (for example, double odds, 3x odds, 10x odds), and this limit affects the combined effective house edge on a player's total exposure.

Understanding terminology is essential for participation and for interpreting the paytable. Players are advised to consult the posted rules at a table before placing complex bets; a layout’s printed rules and dice-handling standards define whether specific outcomes (like a 12 on the come-out for the don't-pass) result in a push or a loss and whether the house rounds payouts. Terminological clarity also reduces disputes in busy play: dealers enforce terminology consistently (for example, declaring when a roll is a "hard 8" versus a "soft 8") to ensure accurate resolution against the posted paytable.

Strategy, Probabilities, and House Edge

Analyzing craps from a probabilistic perspective requires an understanding of the distribution of outcomes when two fair six-sided dice are rolled. There are 36 equally likely ordered outcomes, and totals from 2 to 12 have varying counts: 2 (1), 3 (2), 4 (3), 5 (4), 6 (5), 7 (6), 8 (5), 9 (4), 10 (3), 11 (2), 12 (1). These counts produce the basic odds: for example, a 7 has 6/36 or 1/6 chance on any single roll, while a 6 or an 8 each have 5/36 probability. Strategic guidance in craps often emphasizes leveraging bets with the lowest house edge and avoiding proposition bets with punitive expected losses. For the mathematically inclined, the combination of pass-line bets with max allowable odds represents a favorable approach: while the pass-line has a built-in house edge (~1.41%), adding odds - which carry zero house edge - reduces the player's overall expected disadvantage per dollar wagered across the combined bet.

Advanced considerations include variance management and bankroll implications. Because craps is a game of sequential dependent events (when a point exists, multiple rolls may be required to resolve outcomes), the volatility experienced by players can be significant. A player who increases exposure through odds, place bets, or multiple simultaneous wagers faces both higher potential returns and elevated probability of encountering sustained losing streaks. House-edge calculations assume infinite sequences of play and do not capture the short-term variance inherent in any gambling session. For practical playing strategy, many experienced players recommend adhering to a limited set of bets (pass/come with odds, place 6/8) to minimize expected loss while maintaining engagement in the communal aspects of the game.

From a regulatory perspective, casinos may adjust rules to protect profit margins: limiting odds multiples, adjusting payout fractions on specific place bets, or imposing minimum and maximum bet sizes. Statistical simulation and analytic computation confirm which bets are mathematically preferable: odds bets (no house edge), pass/come with odds (low combined edge), and certain place bets for 6/8 and 5/9 (moderate edges). Bets such as any seven, hard ways, and single-roll propositions are dominated by higher house edges and should be approached as entertainment rather than investments. Players seeking to measure performance should track realized outcomes against theoretical expectations, remembering that even bets with low house edge produce random fluctuations over short samples.

Notes

1. Wikipedia: Craps - General overview of the game, history, and rules as compiled in the public encyclopedia. This source provides a concise summary of modern craps variants and commonly cited historical notes.
2. Statistical tables and probabilities were derived from standard combinatorial analysis of two six-sided dice (36 equally likely ordered outcomes).
3. Casino-specific rules, paytables, and allowed odds multiples vary by jurisdiction and operator; consult the posted table rules at any venue for precise payout schedules and exceptions.
4. The payout and house-edge figures presented in the bets table are representative estimates intended for comparative purposes; exact numbers depend on precise casino rounding and commission policies.

References expanded: ^[1] Wikipedia entry entitled "Craps" - contains history, conventional rules, and common variants as maintained by the encyclopedia community. Additional academic and regulatory literature on gaming law, probability, and casino operations may be consulted for jurisdiction-specific rules and historical primary sources.