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Probabilistic Thinking

Dance with uncertainty — bet on expected value, not certainty

Core Formula

EV = (Probability of Gain × Size of Gain) − (Probability of Loss × Size of Loss)

Key Concepts

1

Expected Value (EV): Only take bets with positive EV — even if you lose sometimes, the system wins.

2

Bayesian Probability: Use new data to constantly update your beliefs. Stay rational, not emotional.

3

Kelly Criterion: Size your bets based on your edge. Never go all-in — protect your ability to keep playing.

4

Advanced: Stop merely tolerating probability — start designing systems where the odds are in your favor.

Real-World Cases

George Soros Breaks the Bank of England (1992)

EV calculation: 20% chance × 20x gain + 80% × -1x loss = 3.2x expected return → Built a $10B short position → Earned over $1B in a single day

John Paulson's Big Short (2007)

Identified a massive mispricing in mortgage-backed securities → Designed a positive-EV bet via credit default swaps → Made $15B when the housing market collapsed

Applications

Investment DecisionsLife ChoicesRisk ManagementStartup Evaluation

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