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Quant traders · researchersProbability puzzles · statistics · market math

Jane Street · Quantitative Trader

Market-math puzzles: combinatorics, paradoxes, betting games, and optimization under uncertainty, closing with option-pricing steps.

3 phases · 26 problems · 26 unique

Start timed mock5 problems · 4 min each

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Continue track · Factorial for Counting Outcomes

1Warm-up

0/8

Factorial for Counting Outcomes
pr-006Probability
Easy
Stars and Bars
pr-007Probability
Easy
Complement Probability
pr-008Probability
Easy
At Least One Success
pr-009Probability
Easy
Binomial Mean and Variance
pr-010Probability
Easy
Monty Hall Switch Win Probability
pr-141Probability
Easy
St. Petersburg Finite Cutoff EV
pr-142Probability
Easy
Ballot Problem Probability
pr-147Probability
Easy

2Core

0/10

Expected Maximum of Two Dice
pr-011Probability
Easy
Birthday Problem Probability
pr-029Probability
Medium
Coupon Collector Expected Count
pr-030Probability
Medium
Two Dice Sum Distribution
pr-034Probability
Medium
Card Draw At Least One
pr-035Probability
Medium
MGF of Bernoulli
pr-040Probability
Medium
Correlation of Bernoulli Variables
pr-041Probability
Medium
Catalan Number
pr-052Probability
Easy
Bell Number
pr-053Probability
Easy
Stirling Number of the Second Kind
pr-054Probability
Easy

3Hard

0/8

Pairwise vs Mutual Independence
pr-043Probability
Hard
Inclusion-Exclusion Three Events
pr-044Probability
Hard
Gambler's Ruin Expected Duration
pr-092Probability
Hard
Coupon Collector Variance
pr-139Probability
Hard
Bias and MSE of the Uniform MLE
pr-140Probability
Hard
Thompson Sampling Pick
op-049Optimization
Hard
ADMM One Step 1D
op-064Optimization
Hard
Cross-Entropy Method Elite Mean
op-050Optimization
Hard