Lilly Tech Systems
Statistics & Probability for AI Interviews
The math questions actually asked at Google, Meta, and Amazon — with clear, step-by-step solutions. From probability fundamentals and Bayes' theorem to A/B testing mathematics and classic probability puzzles that interviewers love.
Your Learning Path
Follow these lessons in order, or jump to any topic that interests you.
1. Math in AI Interviews
What level of math is expected at top companies, how to communicate mathematical reasoning clearly, and what interviewers actually look for.
2. Probability Fundamentals
12 Q&A on rules of probability, independence, conditional probability, and Bayes' theorem with real interview examples.
3. Common Distributions
10 Q&A on normal, binomial, Poisson, exponential, and uniform distributions — when to use each with real-world examples.
4. Hypothesis Testing
12 Q&A on null/alternative hypotheses, p-values, t-tests, chi-squared, ANOVA, and multiple testing correction.
5. Bayesian Statistics
10 Q&A on prior/posterior/likelihood, conjugate priors, MAP estimation, and Bayesian vs frequentist approaches.
6. Classic Probability Puzzles
15 puzzles including Monty Hall, Birthday Problem, Coupon Collector, Gambler's Ruin, dice problems, and card problems.
7. A/B Testing Mathematics
10 Q&A on sample size calculation, power analysis, sequential testing, multi-armed bandits, and variance reduction.
8. Quick Reference & Tips
Formula cheat sheet, common distributions table, interview communication tips, and a comprehensive FAQ accordion.
What You'll Learn
By the end of this course, you'll be able to:
Solve Probability Problems
Apply Bayes' theorem, conditional probability, and combinatorics to solve interview questions step by step under pressure.
Choose the Right Distribution
Identify when to use normal, binomial, Poisson, or exponential distributions and explain your reasoning clearly.
Design Rigorous Experiments
Calculate sample sizes, choose significance levels, apply power analysis, and avoid common A/B testing pitfalls.
Tackle Classic Puzzles
Solve Monty Hall, Birthday Problem, and other famous puzzles that interviewers use to test probabilistic thinking.