Statistics & Math Interview Questions
Practice 482 real Statistics & Math interview questions for 2026 — Statistics & Math interview questions gathered from actual interviews, with detailed solutions to guide your interview preparation. Covers companies like Meta, Capital One, Google, Amazon, and Optiver and roles such as Data Scientist, Quant/Trader, ML researcher, and Data Analyst. This collection is distinctive because problems range from applied inference

"I got asked a hardcore MCM DP question and I saw it on PracHub as well. Solved that question in 5 minutes. Without PracHub I doubt I could solve it in 5 hours. Though somehow didn't get hired, perhaps I guess I solved it too fast? /s"

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"Discovered PracHub 10 days before my interview. By day 5, I stopped being nervous. By interview day, I was actually excited to show what I knew."

"I recently cleared Uber interviews (strong hire in the design round) and all the questions were present in prachub."
"The search is what sold me. I typed in a really niche DP problem I got asked last year and it actually came up, full breakdown and everything. These guys are clearly updating it constantly."
Measure Bird Species Segregation
You are a data scientist analyzing bird observations from a forest. The ecology team wants to know whether different bird species are spatially segreg...
Compute Commuter Ride Probabilities
A commuter takes two trips on a given day: one morning commute to work and one evening commute home. On each trip they either use Lyft or they don't. ...
Solve estimation and probability brainteasers
This is a set of independent estimation and probability brainteasers of the kind asked rapid-fire from a slide deck. Treat each one separately. For ev...
Interpret and Regularize Regression Models
You are a data scientist building and interpreting regression models on a product dataset at a marketplace company. The outcome variable is a continuo...
Solve probability and game-theory puzzles
You are interviewing for a quant trading internship. Work through the following probability and game-theory puzzles. There is no need to answer instan...
Commuter Ride-Choice Probability: Committed and Permanent Riders
A ride-hailing company is modeling the daily behavior of commuters. Consider a population of $N$ commuters. Each commuter takes exactly two trips per ...
Compute Parking Clustering Probability and P-Value
There are 20 parking spaces in a row, numbered $1$ through $20$. Four cars park uniformly at random in four distinct spaces, so every subset of $4$ sp...
Compare Two Coin Proportions
You are given results from two independent coin-toss experiments: - Coin A was tossed 100 times and landed heads 40 times. - Coin B was tossed 1,000 t...
Solve probability and stopping questions
Answer the following independent interview questions: 1. Let X and Y be independent random variables, each distributed Uniform(0,1). Find the probabil...
Calculate Triangle Probability From Broken Stick
A stick of length 1 is broken into three pieces by choosing two cut points independently and uniformly at random along the stick, then sorting the two...
Assess Routing Experiment Validity
A ride-hailing team runs an A/B test in San Francisco in July 2024 for a new routing algorithm intended to reduce time to pickup, abbreviated TTP. You...
Choose Classification Metrics Under Asymmetric Costs
You are evaluating a binary classification model for a business problem. Explain how to use a confusion matrix to compute and interpret: - precision, ...
Explain Bootstrap and Statistical Inference
Answer the following statistics questions at interview depth: - What is the bootstrap? Describe the resampling procedure, when it is useful, and what ...
Estimate weather’s effect on mental health
Scenario You are studying whether weather (e.g., temperature, precipitation, sunlight, air pressure) affects mental health outcomes (e.g., depression ...
How would you critique this regression?
Question You are reviewing a modeling workflow built by another data scientist and asked to critique it. Business context A website receives traffic f...
Calculate Precision, Recall, and F1
Question You are given a list of binary classification outputs, where class 1 is the positive class. Each record contains: - actual (INT, 0 or 1) - pr...
Answer core probability and statistics questions
Answer the following interview-style probability/statistics questions. Provide formulas and short explanations. 1) Bayes’ rule: State Bayes’ rule. Giv...
Compute posterior for biased coin after 3H1T
You are given a coin known to be biased: one face lands with probability 2/3 and the other with probability 1/3, but you do not know whether Heads is ...
Solve probability and expectation problems
You are asked to solve the following probability and mathematical interview problems: 1. Squid Game glass bridge: There are B sequential bridge steps....
Calculate win chance in three-player dice game
Probability of Winning with Rerolls on Ties Setup - Three players: A (you), B, and C. - A fair six-sided die is used. - B and C have already rolled an...