Craps is one of the most mathematically interesting casino games, centered entirely around the probability of dice outcomes. Understanding these probabilities is fundamental to appreciating why certain bets have better odds than others.
Dice Probability Fundamentals
When two six-sided dice are rolled, there are 36 possible outcomes. Each die can show one through six, creating combinations that determine the result. The most likely roll is a seven, which can be achieved in six different ways: 1-6, 2-5, 3-4, 4-3, 5-2, and 6-1. This 6-in-36 probability, or approximately 16.67%, explains why seven is statistically the most common roll.
Point Numbers and Come Out Rolls
In craps, the come out roll establishes the point. If a seven or eleven appears, pass line bettors win immediately. If a two, three, or twelve appears, they lose. Any other number becomes the point. Understanding that seven appears roughly once in every six rolls helps explain why rolling the point before a seven is statistically challenging, particularly for higher point numbers like four, five, nine, or ten.
Betting Odds and House Edge
Different craps bets carry different house edges. Pass and don't pass bets have approximately 1.4% house edge, making them mathematically superior options. In contrast, proposition bets in the center of the table can have house edges exceeding 10%. Learning which bets offer the best probability ratios is crucial for anyone interested in minimizing losses.
Table Etiquette and Game Conduct
Beyond mathematics, craps players should understand proper table etiquette. Dice must be thrown with enough force to hit the back wall, establishing a fair roll. Never handling the dice with two hands, respecting the stickman's authority, and avoiding certain phrases (like saying "seven" while someone is rolling) are traditional practices that maintain game integrity and table harmony.