For my python simulations, you can use a site like this if you don't have python installed. Feel free to tweak the programs!
Lecture 1
Venn diagram app.
My simulations: Growing dice roll simulation, relative frequency.
Where it all started: Cardano's biography
Birthday experiment simulation.
Estimatng Pi with Buffon's matches from Numberphile. Buffon's coin experiment.
We didn't discuss this, but its nice: The monty hall problem on Numberphile. Easy version 1, Easy version 2, Math version.
We talked about infinites and Georg Cantor after the Treasury paradox. You can read Cantor's biography here.
And here's the scene from Rosencrantz and Guildenstern are dead.
Lecture 2
Biography of Paul Erdős. Here's a book and a movie about him.
Conditional probability experiment.
Bayes biography, of the famous Bayes theorem.
Lecture 3
Biography of Jacob Bernoulli, of the Bernoulli distribution.
Simpson's paradox UCB example.
Biography of Gauss. It says he was 7 when he added the numbers up to 100!
My simulations: expected value.
Lecture 4
Cantor's biography, as it turned up when adding infinities.
St. Petersberg paradox was discovered by Daniel Bernoulli in 1738. Here's a nice article about the paradox, and here is the biography of Daniel Bernoulli.
St. Petersberg paradox on Wikipedia.
Lecture 5
0! = 1. Here's a nice video from numberphile explaining this.
Bertrand Russell's biography. And this comic with Russell as the narrator is a riveting read!
Bertrand's paradox simulation.
My Bertrand paradox simulations: Uniform point, uniform angle, uniform distance. (it shows the midpoints of 5000 random chords).
Poisson's biography. And his quote that I must mention: Life is good for only two things, discovering mathematics and teaching mathematics.
Binomial distribution, Poisson distribution, Exponential distribution pmf, cdf simulations.
Lecture 6
Lecture 7
Lecture 8
Fubini's biography at wikipedia and at mathhistory.st-andrews.
Buffon's needle on numberphile.
Lecture 9
Nice Wiki article about uncorrelatedness.
Abraham de Moivre's biography.
Johann Carl Friedrich Gauss's biography.
From Sheldon Ross Introduction to Probability, those interested can read the short note on DeMoivre and Gauss on page 207-208.