Software Engineer Statistics & Math Interview Questions
Practice the exact questions companies are asking right now.
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Plan for timed probability assessment
Timed Probability/Statistics Assessment Strategy (30 Questions, Strict Time Limit) Prompt You are taking a timed online assessment with 30 probability...
Solve numeric sequence pattern puzzles
Sequence Prediction Task You are given five independent number sequences. For each, determine the next term and briefly explain the rule you used. Ass...
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...
Calculate dice game win probability
Dice Game With Tie Rerolls: Probability You Eventually Win Context - Three players each roll a fair standard 6-sided die. - The highest roll wins. - I...
Find patterns in numeric sequences quickly
Pattern-Finding Number Sequences (No Calculator) In a fast technical screen, identify the next term for each sequence and briefly explain the rule you...
Solve quick probability questions
Rapid-Fire Probability Questions Context Answer the following independent probability questions. Assume fair dice/coin and a standard 52-card deck. Sh...
Explain median vs mean for L1/L2
Median vs Mean Under L1 and L2, and the 2D Extension Task Explain, with intuition and a brief derivation, why: - In 1D, the median minimizes the sum o...
Calculate conditional probabilities for coin tosses
Probability with Two Fair Coin Tosses You toss a fair coin twice. Let the coin be fair (P(H) = P(T) = 1/2) and the tosses independent. (a) Compute P(s...
Compute expectations, conditionals, odds, and distributions
Fast Probability and Statistics (No Calculator) Context: Answer quickly with mental math and concise reasoning. Show set-up and any helpful shortcuts....
Solve a logical reasoning puzzle
Scheduling Puzzle: Assign Interview Days You are scheduling interviews for three candidates over three days (one per day). Determine the exact day for...
Design dice betting strategy under time limit
Repeated Dice Betting with Time and Risk Constraints You have T = 10 minutes and an initial bankroll B = $1,000 to play a repeated betting game with a...
Explain linear algebra for graphics transforms
MVP Pipeline, Homogeneous Coordinates, NDC, Screen Space, and Normal Transformation Context You are working in a standard real-time graphics pipeline....
Deduce position from logic clues
Constraint-Satisfaction on a 2D Grid with Relational Clues Context You are given a rectangular grid with R rows and C columns. A set of named entities...
Compute urn-draw probabilities and expectations
Urn Drawing Probabilities (Without Replacement) You have an urn with 12 balls: 5 red (R) and 7 blue (B). You draw two balls uniformly at random withou...
Calculate tiered cost and break-even
Tiered Pricing and Shipping Cost Function You are ordering q units from a vendor with the following pricing: - Fixed setup fee per order: $500 - Unit ...
Solve two logic brain teasers
Two Classic Logic/Optimization Puzzles Puzzle 1: Heavier Ball with a Balance Scale You have 12 visually identical balls. Exactly one ball is heavier t...
Compute probability of drawing reds
Probability of Drawing at Least Two Red Balls Problem A bag contains 6 red balls and 4 blue balls. Three balls are drawn uniformly at random without r...
Evaluate a verbal reasoning passage
True/False/Cannot Say – Reading Comprehension Instructions Read the passage and label each statement as True, False, or Cannot Say based only on the p...
Compute permutations with repeated letters
Counting Strings with Repeated Characters Problem Given two nonnegative integers m and n, how many distinct strings can be formed that contain exactly...
Compute negative-price probability after n steps
Random-Walk Price Crossing Probability Setup - Initial price: S₀ = s (real number). - Step size: x > 0. - Number of days: n (integer ≥ 0). - Each day ...