Probability & Statistics

Probability questions dominate quant interviews. You'll work through Bayes' theorem, expected value, distributions, Markov chains, and the classic puzzles (Monty Hall, Birthday Problem) that interviewers love.

41 lessons
68 min

Lessons

1. Intro

2. Basic Probability Rules

Foundations you must know cold

3m

3. Conditional Probability

When events depend on each other

4m

4. Bayes' Theorem

Updating beliefs with evidence

4m

5. Expected Value

The average outcome

4m

6. Quiz: Bayes' Theorem

Test your understanding

2m1 problems

7. Variance and Standard Deviation

Measuring spread

4m

8. The Monty Hall Problem

A classic interview puzzle

3m

9. The Birthday Problem

When intuition fails

3m

10. Dice and Coin Problems

The bread and butter of interviews

3m

11. Quiz: Expected Value

Test your understanding

2m1 problems

12. Common Distributions

Normal, Binomial, Poisson

4m

13. Central Limit Theorem

Why the normal distribution matters

4m

14. Markov Chains

State-based probability

4m

15. Hypothesis Testing

Making decisions with data

4m

16. Quiz: Distributions

Test your understanding

2m1 problems

17. Linear Regression Basics

The most used model in quant finance

4m

18. Correlation and Covariance

Measuring relationships

4m

19. Overfitting and Cross-Validation

The researcher's trap

4m

20. Permutations and Combinations

21. Quiz: Random Walks

Test your understanding

2m1 problems

22. Counting Principles

23. Random Variables

24. Cumulative Distribution Functions

25. Poisson Distribution

26. Quiz: Conditional Probability

Test your understanding

2m1 problems

27. Exponential Distribution

28. Normal Distribution Deep Dive

29. Covariance Properties

30. Conditional Expectation

31. Quiz: Central Limit Theorem

Test your understanding

2m1 problems

32. Law of Large Numbers

33. Random Walks

34. Martingales Basics

35. Order Statistics

36. The Coupon Collector Problem

37. Geometric Distribution

38. Negative Binomial

39. Maximum Likelihood Estimation

40. Confidence Intervals

41. Section Recap

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