Lecture 1
Simulation of dice rolls: (this code was generated with the help of chatgpt)
This numberphile video can help with understand infinities in the minister puzzle. And no discussion of infinities can be done without mentioning Georg Cantor. I highly recommend the chapter dedicated to him in the book Journey through Genius (the other chapters in the book are also highly recommended, just they are not related to our lecture).
Here's the biography of Girolamo Cardano.
Lecture 2
Here's an xkcd about Urns. And here's a numberphile video about the birthday paradox (but please watch this only after you've worked out the probabilities yourself (without chatgpt!).
Lecture 3
Numberphile seems to have something on the use of Bayes in proper resporting of test results.
Lecture 4
Here's the Monty Hall problem on numberphile. They actually have a playlist on it, further underlining how tricky this one is!
Lecture 5
Lecture 6
Russell's paradox: set of all sets that don't contain themselves.
Here's a biography of Gauss, it starts with the sum we talked about today.
And the quotes from the forms today were from this book. The 2013 adaptation has Bellatrix as Miss Havisham!