Problem Set 1
The geometry of events
Set notation, complements, De Morgan’s laws, Venn diagrams, and inclusion–exclusion. No probability background assumed.
80 points + challenge
and Decisions
Probability & statistics · Student editions
Problem sets
& quizzes.
A place to practice, put a proof together, and check what you understand. Download a handout and make the work your own.
Printable PDFs · Free to download
Develop the argument
Problem sets
Problem Set 2
Counting, events, and shared birthdays
Probability spaces, permutations, combinations, binomial identities, inclusion–exclusion, and the birthday paradox.
8 core problems + challenge · About 3 hours
Problem Set 3
Counting, collisions, and derangements
Discrete probability spaces, poker and word counts, birthday bounds, collision patterns, and the hat-check problem.
9 core problems + challenge · About 3½ hours
Check your understanding
Quizzes
Class quiz
Conditional probability and Bayes’ rule
Finite probability spaces, conditioning from a table, total probability, and a guided solution to Monty Hall.
50 minutes · 50 points
Class quiz
Birthdays, derangements, and a little calculus
The series and approximations behind birthday collisions and derangements, followed by a Bayes’ rule problem.
50 minutes · 50 points
Weekly quiz collection
Ten checkpoints from sets to inference
Short quizzes following the course from events and distributions through estimation and Bayesian inference, with writing space.
10 quizzes · 20 minutes each · 10 points each