Meta Statistics & Math Interview Questions
Meta Statistics & Math interview questions at Meta emphasize clear statistical judgment applied to product problems rather than rote formula recall. Interviewers typically probe experimental design, hypothesis testing, confidence intervals, power and sample-size thinking, probability and distribution intuition, and practical trade-offs at scale. What’s distinctive is the expectation that you tie statistical conclusions to product impact: show how uncertainty, effect size, seasonality, and clustering would affect a recommendation, and how you’d instrument guardrails to prevent harm. Expect a mix of brainteasers, short analytical problems, and open-ended experiment or metric-diagnosis cases that require both math and product sense. For interview preparation, focus on fundamentals (CLT, t-tests, p-values vs effect size, Bayes basics) and practice translating results into decisions. Work timed problems that include A/B design, power calculations, and conditional probability, and rehearse explaining assumptions and limitations concisely. Use mock interviews to sharpen verbalization of uncertainty and trade-offs, and prepare examples where you diagnosed noisy metrics or redesigned experiments—Meta favors candidates who demonstrate sound statistics and pragmatic product thinking.

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Fake Accounts [AE]
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Determine Probability of Friend Request Being Fake
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Compute and correct correlation significance inflation
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Compare Bayesian and frequentist decisions
A/B Test With Beta–Binomial Posteriors and Decision-Making Under Asymmetric Costs You ran a two-arm A/B test on a binary KPI with independent Beta(1, ...
Compute p-values, power, and adjust errors
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Compute probabilities for chatbot response quality
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Contrast OLS, DiD, and PSM assumptions
For the shuttle impact problem, contrast OLS, DiD, and PSM rigorously. Do the following: 1) write the OLS and two-way fixed-effects DiD regression equ...
Analyze daily comments distribution and sampling
Daily Comments per Active User: Sampling and Inference You have, for a given day d, the count of comments made by each active user. Let there be m act...
Derive and validate DID for staggered rollout
Causal Effect of a Staggered Adoption Policy Across EU Regions You cannot randomize. An intervention is rolled out at different dates across EU region...
Compute posterior and event counts in fraud screen
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Estimate bots and CI from DAU spike
Mixture Spike and Mean-Difference Inference for Daily Comments Context A product has DAU (daily active users) = 2,000,000. On day T, total comments in...
Estimate delayed CVR nonparametrically with censored data
Today is 2025-09-01. We need the 14-day conversion rate (CVR14) for impressions served between 2025-08-18 and 2025-09-01, but many conversions occur w...
Choose tests and solve distribution parameters
Engagement Comparison: New vs Existing Users (2025-08-05 → 2025-09-01) Context: You have per-user daily session counts (integer, skewed, many zeros) f...
Estimate first selection round with/without replacement
Probability of First Selection Across Rounds Context: There are 1,000 people. Each round, 10 draws are made. Consider a fixed person. Case 1: Without ...
Choose group-call participant cap via distribution
Group Call Cap Decision: QoS vs Reach You are deciding whether to cap the maximum number of participants in a group call. You have the past 28-day dis...
Estimate CTR lift with binomial tests and errors
A/B Test Inference, Peeking, and Multiple Comparisons You run a two-arm A/B test of click-through rate (CTR). - Control: n_c = 10,000,000 impressions,...
Calculate Posterior Fraud Probability Using Bayes' Theorem
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Determine Probability of Fourth Good Response After Three Successes
Evaluating Good-Response Rates for Chatbot Outputs Context You are evaluating chatbot/LLM responses. Treat each response as a Bernoulli trial (good vs...
Explain Type I vs. Type II Errors in A/B Testing
A/B Testing Errors and Estimation Under Skewed Metrics Context You are analyzing an A/B experiment for a product feature. You need to explain the stat...
Analyze View Distribution and Recommendation Overlap in Videos
Short-Video Platform: View Distribution and Recommendation Overlap Context You are analyzing a short-video platform. You have: - A dataset of per-vide...