A Precise Mathematical Approach to Craps Betting
Craps is a game of pure probability. By stripping away the excitement and the noise, we can view the game as a series of independent events with fixed probabilities. A mathematical approach allows a player to move from 'guessing' to 'calculating'.
Probability Distributions
Analyzing the 36 possible outcomes of two six-sided dice to determine the frequency of each sum.
Expected Value (EV)
Calculating the average amount a player can expect to win or lose per bet over the long run.
Variance Analysis
Understanding the 'swings' in bankroll and how they relate to the standard deviation of the game.
Combinatorial Math
Using combinations to determine the exact probability of 'Hard' ways versus 'Easy' ways.
Applying Math to the Table
Applying these formulas in real-time requires practice. Many players start by reading a NovaDice Review to see how automated systems handle the probabilities of dice games, which can provide a baseline for manual craps play.
- Always prioritize bets where the EV is closest to zero.
- Use the Law of Large Numbers to understand that short-term results are irrelevant.
- Calculate the probability of a '7-out' after every single roll.
- Avoid bets with a house edge exceeding 5% unless used as a hedge.
The math never lies. If a bet has a high house edge, you will lose money over time, regardless of the system.
For those who want to dive deeper into the numbers, explore our advanced betting tools for professional craps players.