Casino Math & Probability

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Flat Betting vs. Progressive Betting: A Variance Comparison

Flat Betting vs. Progressive Betting: A Variance Comparison

Flat and progressive bets share the same expected value. They have wildly different variance profiles. Here's what that means for your bankroll.

Oscar’s Grind: Why a ‘Smart’ Progression Still Loses

Oscar’s Grind: Why a ‘Smart’ Progression Still Loses

Oscar's Grind aims for a one-unit profit per cycle by stepping bets up after wins. The math says it has a higher win rate and a heavier tail loss.

D’Alembert: The Pseudo-Conservative Betting Trap

D’Alembert: The Pseudo-Conservative Betting Trap

Paroli (Reverse Martingale): The Math of Riding Streaks

Paroli (Reverse Martingale): The Math of Riding Streaks

Labouchere Cancellation System: The Math of Why ‘Eraser Tape’ Fails

Labouchere Cancellation System: The Math of Why ‘Eraser Tape’ Fails

Fibonacci Betting: Pretty Sequence, Same House Edge

Fibonacci Betting: Pretty Sequence, Same House Edge

EZ Baccarat, Punto Banco, Chemin de Fer: A Probability Comparison

EZ Baccarat, Punto Banco, Chemin de Fer: A Probability Comparison

Dragon Bonus, Lucky 6, Tiger: A Math Tour of Baccarat Side Bets

Dragon Bonus, Lucky 6, Tiger: A Math Tour of Baccarat Side Bets

Baccarat Scoreboards: What the Big Eye Road Actually Tracks

Baccarat Scoreboards: What the Big Eye Road Actually Tracks

Why Side-Bet Counting Sometimes Works in Baccarat (And Pure Counting Doesn’t)

Why Side-Bet Counting Sometimes Works in Baccarat (And Pure Counting Doesn’t)

Squeeze, Speed, Mini: The Math Differences Across Baccarat Variants

Squeeze, Speed, Mini: The Math Differences Across Baccarat Variants

No-Commission Baccarat and the Dragon-7 Trade-off

No-Commission Baccarat and the Dragon-7 Trade-off