MasterRoulette

🧠 What Is Statistical Independence?

In statistics, two events are independent if the occurrence of one does not affect the probability of the other. In roulette, this means each spin is an isolated event — no memory, no influence from previous results.

🎡 How Does This Apply to Roulette?

Suppose black has come up 6 times in a row. Many players believe “red is due” or that red is now more likely. This is known as the gambler’s fallacy.

The probability of hitting red remains the same on every spin: about 18/37 (on European roulette), no matter what happened before.

🚫 Popular Myths Based on Statistical Errors

• “After many blacks, red must come.” ❌
• “If one dozen hasn’t appeared in 15 spins, it’s due.” ❌
• “Streaks show imbalance — bet on what hasn’t appeared.” ❌

All of these ideas ignore the independence of each spin.

📊 Constant Probabilities

In European roulette:

• Red: ~48.65%
• Black: ~48.65%
• Green (0): ~2.70%

These probabilities never change based on previous spins.

🎯 What This Means for Betting Systems

Any system that relies on “correction” of streaks — like Martingale or Labouchère — fails because it assumes randomness balances out in the short term. But roulette has no memory, and that breaks any logic based on past outcomes.

💡 Conclusion

Understanding statistical independence helps you avoid mental traps. No matter how many reds, blacks, or evens have appeared, the next spin still has the same odds. Roulette is a pure game of chance — every spin is a completely new story.