From population to confidence intervals: a guided journey through distributions
Random variables, eight distributions, sampling, standard error and confidence intervals: theory and simulations in one coherent path.
ReadMathematics
Articles by topic
Clear, organized learning paths that build strong foundations in mathematics and computer science.
Probability
From data to distributions and confidence intervals
A sample, a histogram, several possible models and an interval for the mean: learn what the data can tell us, and what they cannot.
ReadFifteen experiments that make probability visible
Dice, coins, an urn, Monty Hall and Poisson: fifteen simulations with observed histograms and theoretical probabilities.
ReadThe power of the complement: 25 probability problems
From dice to birthdays: 25 problems with hints, step-by-step solutions and explicit assumptions to learn the complement method.
ReadProbability: 10 difficult problems solved step by step
Ten advanced challenges with hidden hints and solutions: counting, dependence, Bayes, geometry, waiting times and strategies.
ReadForty-card frustration solitaire: why you almost always lose
The 40-card Neapolitan solitaire explained step by step: matches, dependence, inclusion-exclusion and the exact winning probability.
ReadProbability: 10 famous problems that fool intuition
From Monty Hall to Buffon’s needle: ten puzzles with explicit assumptions, formulas and hidden solutions to help you reason about chance.
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