Probability Theory for Quants: Desk-First

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Probability Theory for Quants is a desk-first set of notes that teaches probability the way quants actually use it: as a framework for risk, tails, information flow, and pricing measures—not as a “memorize-theorems” textbook. What you’ll cover (full roadmap) You’ll build a complete quant-probability toolkit across: Probability as risk geometry (scenario trees, σ-algebras, measurability) Expectation & risk measures (VaR/CVaR/convex risk) Distributions as market regimes (fat tails, mixtures, jump risk) Conditioning & filtration (information flow, avoiding look-ahead bias) Martingales & stopping (fair games, pricing intuition) Markov processes, Brownian motion, diffusions, jumps Change of measure & Girsanov, copulas & dependence Extreme Value Theory, estimation & calibration Advanced extensions: Malliavin calculus (Greeks), rough paths, optimal transport Probability Interview Mastery (pressure questions + fast solution patterns) How these notes are different You’re explicitly guided to: Visualize uncertainty and tails Translate math into P&L language Use formulas as confirmation, not the starting point Bonuses included Appendix A: Quant Probability Cheat Sheet Distribution facts, conditioning identities, martingale/Markov quick tests, change-of-measure checklist, and an EVT tail workflow.

Appendix B: Exam Pack — 80 targeted problems (with concise solutions) Designed for 5–7 minute interview/exam conditions. Interview shortcuts library (symmetry, indicators, conditioning-first) to speed up answers under pressure. Who this is for Aspiring quant researchers / strat / risk quants Candidates prepping for quant interviews (especially probability-heavy rounds) Practitioners wanting a compact refresher that connects probability to risk systems and pricing logic Coupon code Use PROBABILITY10 for 10% off.

Regular disclaimer No affiliation / endorsement with any firm mentioned; names are used only for educational context. Trademarks belong to their respective owners; no endorsement implied. None Not investment advice: educational/informational only; not a recommendation or solicitation.

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