Casino Math & Probability

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Roulette Inside vs. Outside Bets: A Risk-Adjusted Comparison

Roulette Inside vs. Outside Bets: A Risk-Adjusted Comparison

Inside bets pay 35:1 and hit once in 37 spins. Outside bets pay 1:1 and hit ~48.6% of the time. Same house edge — wildly different ride. Here's the math.

Fifteen Reds in a Row: When Roulette Streaks Are Math, Not Magic

Fifteen Reds in a Row: When Roulette Streaks Are Math, Not Magic

A 15-red streak on European roulette has probability ~0.0034%. Across a million spins on a million wheels, it's expected to happen often. Here's the math.

Stop-Loss and Stop-Win Rules: Math vs. Psychology

Stop-Loss and Stop-Win Rules: Math vs. Psychology

Kelly Criterion for Casino Games: When Math Tells You to Sit Out

Kelly Criterion for Casino Games: When Math Tells You to Sit Out

Flat Betting vs. Progressive Betting: A Variance Comparison

Flat Betting vs. Progressive Betting: A Variance Comparison

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

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

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

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