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Statistics & Math Interview Questions

Practice 9403 coding, system design and machine learning questions from 546 companies, sorted by role, topic and interview round. Every question has step-by-step hints, a code runner that supports 8 languages and an AI mentor; members also get the full solution walkthrough.

9403
Questions
546
Companies
11
Topics
8
Languages

Showing 31–60 of 78 results

  • OptiverHardData Scientist
    Find next terms in sequences

    This question evaluates pattern recognition, numerical reasoning, and sequence-inference competency across arithmetic, fractional, and recurrence-style relationships, and falls under the Statistics & Math domain relevant for data scientist roles.

    Statistics & MathOnline Assessment
  • OptiverMediumSoftware Engineer
    Plan for timed probability assessment

    This question evaluates rapid probabilistic and statistical reasoning, time management and problem prioritization under strict timing, along with the ability to adapt approaches based on scoring rules and calculator restrictions, and it is classified in the Statistics & Math domain.

    Statistics & MathOnline Assessment
  • OptiverMediumSoftware Engineer
    Solve numeric sequence pattern puzzles

    This question evaluates pattern recognition and quantitative reasoning skills, requiring identification of numeric relationships, series properties, and simple number-theoretic or arithmetic transformations.

    Statistics & MathOnline Assessment
  • OptiverHardData Scientist
    Solve probability and expectation problems

    This problem tests your ability to calculate expected stopping times in a discrete random walk and your understanding of conditional expectation and symmetry in probability.

    Statistics & MathOnline AssessmentProbabilityExpectationStochastic Processes
  • OptiverMediumSoftware Engineer
    Solve quick probability questions

    This set evaluates core probability and combinatorics skills including discrete distributions, conditional probability, independence, expectation and variance, and basic stochastic processes such as gambler's ruin, situated in the Statistics & Math domain.

    Statistics & MathOnline Assessment
  • OtherMediumSoftware Engineer
    Solve a Set of Probability and Quantitative Reasoning Problems

    Work through fourteen quantitative interview problems covering probability, counting, expectation, algebra, logical constraints, and rate reasoning. Each result should be auditable, use the correct sample space, and state any interpretation that affects the calculation.

    Statistics & MathOnline Assessment
  • Point72MediumQuantitative Researcher
    Calibrate the Risk-Aversion Parameter

    Calibrate mean-variance risk aversion to target risk and out-of-sample utility while accounting for units, scaling, constraints, and regimes.

    Statistics & MathOnline Assessment
  • Point72MediumQuantitative Researcher
    Choose Practical Portfolio Constraints

    Specify practical stat-arb constraints for neutrality, exposure, concentration, turnover, liquidity, and borrow, including feasibility checks.

    Statistics & MathOnline Assessment
  • Point72MediumQuantitative Researcher
    Derive Annualized Portfolio Volatility

    Derive portfolio volatility from factor covariance and stock-specific variance, then annualize it with consistent horizons and units.

    Statistics & MathOnline Assessment
  • Point72MediumQuantitative Researcher
    Estimate Factor Returns and Residual Returns

    Derive weighted factor-return estimates from a sample, then compute residual returns across a larger trading universe with stable linear algebra.

    Statistics & MathOnline Assessment
  • Point72MediumQuantitative Researcher
    Formulate a Single-Period Stat-Arb Objective

    Formulate a convex single-period statistical-arbitrage objective balancing expected return against covariance risk, with consistent units.

    Statistics & MathOnline Assessment
  • Point72MediumQuantitative Researcher
    Linearize an L1 Trading Penalty

    Linearize weighted absolute trading costs with auxiliary variables, complete LP constraints, the correct objective sign, and an equivalence proof.

    Statistics & MathOnline Assessment
  • Point72MediumQuantitative Researcher
    Model Trading Frictions in Portfolio Optimization

    Extend a stat-arb objective with unit-consistent commissions, spread, slippage, market impact, turnover, borrow, and concentration costs.

    Statistics & MathOnline Assessment
  • Point72HardData Scientist
    Price a coin-doubling game rationally

    This question evaluates understanding of probability distributions, divergent expected values, utility theory, and optimal betting strategies (Kelly staking) within the Statistics & Math domain for a Data Scientist role.

    Statistics & MathOnline Assessment
  • RobloxHardData Scientist
    Apply Bayes' rule to compute posterior

    Evaluates understanding of Bayes’ rule and basic probability concepts—specifically computing a posterior probability P(A|B) and the marginal likelihood P(B) from a prior and likelihoods—in the Statistics & Math domain at a foundational-to-intermediate abstraction level.

    Statistics & MathOnline Assessment
  • RobloxEasyData Scientist
    Compute A/B test sample size and Bayes posterior

    This question tests the ability to calculate required sample size for a frequentist A/B test using power analysis and to perform a Bayesian update for a Bernoulli process.

    Statistics & MathOnline AssessmentStatisticsA/B TestingBayesian Inference
  • RobloxHardData Scientist
    Compute sample size and Bayes posterior

    This question evaluates understanding of statistical inference and probabilistic reasoning by combining a frequentist power/sample-size computation for a two-sided two-sample z-test with a basic Bayesian conditional probability calculation.

    Statistics & MathOnline Assessment
  • SIG (Susquehanna)MediumQuantitative Trader
    Bayesian Posterior That k Red Parts Came From Factory A

    A probability question on Bayesian updating: one of two factories with different red-part rates is chosen at random, and k parts drawn from it are all red. It asks for the conditional probability that the parts came from the first factory, testing likelihoods, priors and careful evaluation of powers.

    Statistics & MathOnline Assessment
  • SIG (Susquehanna)EasyData Scientist
    Calculate Expected Payoff from Two Dice

    This problem tests fundamental knowledge of probability, expected value, and partitioning sample spaces to calculate the average outcome of a stochastic process.

    Statistics & MathOnline AssessmentProbabilityExpected ValueStatistics
  • SIG (Susquehanna)EasyData Scientist
    Compute Conditional Age Probability Among Cyclists

    This question tests the ability to interpret a contingency table and calculate conditional probabilities by narrowing the sample space to a specific sub-group.

    Statistics & MathOnline AssessmentProbabilityStatisticsContingency Tables
  • SIG (Susquehanna)MediumData Scientist
    Compute ruin probability with bold betting

    This question evaluates understanding of probability theory and stochastic processes, focusing on ruin probabilities under a bold betting strategy with state-dependent wagers.

    Statistics & MathOnline Assessment
  • SIG (Susquehanna)EasyData Scientist
    Compute stockout sufficiency probability

    This question evaluates understanding of discrete probability and binomial models for independent Bernoulli trials, testing the ability to compute the probability that a limited resource meets random demand.

    Statistics & MathOnline Assessment
  • SIG (Susquehanna)EasyData Scientist
    Compute the Probability Two Bloom Intervals Overlap

    Calculate the probability that two independent events with different known durations overlap within a fixed time window using geometric probability.

    Statistics & MathOnline AssessmentProbabilityContinuous DistributionsGeometric Probability
  • SIG (Susquehanna)EasyData Scientist
    Condition on a Chosen Rabbit Losing

    Calculate the conditional probability that a randomly selected rabbit is the least athletic of three rabbits given that it lost its benchmark race, using Bayes' theorem.

    Statistics & MathOnline AssessmentProbabilityBayes' TheoremConditional Probability
  • SIG (Susquehanna)EasyData Scientist
    Count Cookie Flavor Combinations

    Calculate the number of distinct unordered combinations when selecting 5 cookies from 4 available flavors with replacement, and contrast this with the ordered outcome space.

    Statistics & MathOnline Assessmentcombinatoricsstars-and-barsprobability
  • SIG (Susquehanna)EasyData Scientist
    Count Grid Paths with No Three Equal Moves

    Count lattice paths from `(0, 0)` to `(5, 5)` that never use three identical directions consecutively. The solution converts paths into alternating runs of length one or two, counts bounded compositions for equal and unequal run totals, and derives 84 valid paths.

    Statistics & MathOnline Assessment
  • SIG (Susquehanna)EasyData Scientist
    Deduce Cat Counts from Conditional Truth Rules

    Deduce the exact number of cats owned by three individuals based on conditional truth-telling rules, percentage relations, and average constraints.

    Statistics & MathOnline AssessmentLogic PuzzleNumber TheoryIntegrality
  • SIG (Susquehanna)EasyData Scientist
    Determine a Canoe Departure Time

    This problem tests algebraic modeling and systems of linear equations by requiring the candidate to derive the counts of different entities based on a total sum constraint.

    Statistics & MathOnline AssessmentAlgebraLinear EquationsLogic
  • SIG (Susquehanna)MediumData Scientist
    Determine departure time from travel times

    This question evaluates a candidate's understanding of relative motion, time-distance-rate relationships, algebraic modeling, and quantitative reasoning. Commonly asked in technical interviews for Statistics & Math and Data Scientist roles, it assesses the practical application of setting up and manipulating equations from multi-step word problems rather than purely conceptual theory.

    Statistics & MathOnline Assessment
  • SIG (Susquehanna)MediumQuantitative Trader
    Expected Number of Same-Rank Pairs in a Hand Dealt Without Replacement

    An expectation question about dealing K cards without replacement from a deck of M ranks with N cards each, then counting the same-rank pairs in the hand. It tests linearity of expectation, probabilities when drawing without replacement, and how the definition of a pair changes the answer.

    Statistics & MathOnline Assessment