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Probability Corner
A collection of probability puzzles and problems that I find intriguing. These range from classic problems to more challenging puzzles involving Markov chains, information theory, and stochastic processes. Each problem includes a detailed solution with the key insights and mathematical reasoning.
Breaking Stick
Medium Uniform Distribution Integration
Chess Tournament I
Medium Combinatorics Counting Principle
Comparing Flips II
Hard Conditional Probability
Confused Ant II
Hard Expectations
Graph Search I
Hard Expectations
Graph Search II
Hard Expectations
Intersecting Chords
Medium Combinatorics Counting Principle
Matching Die Trio
Medium Combinatorics
Mean babysitter
Medium Combinatorics Counting
Modified RNG
Hard Expectations Conditional Expectation Conditional Variance
Multinomial Expansion
Medium Combinatorics Counting
Multinomial Sum
Medium Combinatorics Counting
Optimal Bidders I
Hard Statistics Expectations
Particle Reach
Medium Random Walks
Pass the ball
Hard Conditional Probability
Random Angle II
Hard Uniform Distribution Triangle Integration
Random Ratio
Medium Integration
Russian Roulette I
Medium Probability
Russian Roulette II
Hard Series
Square Cross
Medium Integration
Differ by 2
Hard Expectations
Exact 5 II
Hard Statistics Expectations