Among all table games, **Craps** is a unique anomaly where your choice of wager fundamentally alters your mathematical Expectation. Many bets are 'sucker traps,' while others are nearly fair to the player.
An AI model playing Craps doesn't care about the excitement of the table. It focuses on one thing: **The relationship between House Edge, Variance, and Bankroll Durability**.
The Two-Phase Probability Structure
Craps is governed by a dual mathematical system:
- **The Come-Out Roll:** A high-probability initial phase (hitting 7 or 11).
- **Point Continuation:** A series of rolls where the '7' becomes your enemy.
Because the win/loss conditions literally flip during the game, your capital is exposed to different levels of risk at different times.
AI Values the 'Dollar Curve,' Not the High
An AI evaluates every Craps session using these benchmarks:
The AI Evaluation Metrics
- **Expected Loss per Roll:** Every second the dice are in the air, what is the cost?
- **Drawdown Depth:** How many '7-outs' can my bankroll survive?
- **Variance Scalability:** Does adding an Odds bet help or hurt my survival?
The Validated AI Betting Structure
To maximize survival and expected value, an AI restricts itself to only three wagers:
- **Pass Line:** The base unit of play.
- **Don't Pass:** The mathematically superior 'Dark Side' bet.
- **Odds Bets:** The 'Holy Grail' of zero-edge gambling.
The Logic of Odds Bets
While Odds bets have 0% house edge, they also **massively increase your variance**. An AI does not always play 'Max Odds.' Instead, it scales its Odds bet based on its current bankroll depth to ensure it doesn't get wiped out by a single cold streak.
Why Proposition Bets are Discarded
Any bet in the center of the table (Any 7, Hardways, etc.) is rejected by AI models for three reasons:
- **Unacceptable Edge:** Payouts of 4:1 or 30:1 often mask a house edge of 10-15%.
- **Excessive Variance:** They are 'all or nothing' bets with low hit frequencies.
- **Zero Reproducibility:** There is no sequence of data that makes these bets viable in a long-term simulation.
The Myth of the 'Hot Shooter'
Humans believe in 'hot streaks.' AI knows that **every roll is an independent event**. Betting more because the current shooter has 'energy' is a logical fallacy that leads to bankroll ruin. In the Canadian online casino world, where dice results are handled by RNG or professional live dealers, this discipline is even more critical.
The Multi-Bankroll Management Model
AI Recommended Strategy
- **Flat Betting:** Maintaining a consistent base unit.
- **Scaled Odds:** Increasing and decreasing Odds bets based on session performance.
- **Exit Boundaries:** Rigidly sticking to a 'stop-loss' or 'take-profit' amount set before the first roll.
Summary: Winning Through Attrition
In the eyes of an AI, Craps is a game of attrition. You win not by 'getting lucky' on a Hard 8, but by **outlasting the house edge** through the use of Odds and Pass Line bets. Minimize your exposure to high-edge wagers, and let the math do the work.
FAQ (Pro Section)
Should I always play Max Odds?
Only if your bankroll can handle the volatility. While the edge is 0%, the high dollar amounts mean a few '7-outs' in a row can end your session. Scale your odds to your bankroll.
Is Don't Pass better than Pass Line?
Yes, mathematically (1.36% vs 1.41%). However, the difference is small enough that many players choose the Pass Line for a more 'social' experience if playing live.
Conclusion
Craps is the thinking man's game. To win like an AI, you must embrace the boredom of the Pass Line and the discipline of the Odds bet. Avoid the noise, ignore the 'lucky' numbers, and focus on the structural probability of 7.