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.
The monty hall problem on Numberphile. Easy version 1, Easy version 2, Math version.
Where it all started: Cardano's biography
Birthday experiment simulation.
Lecture 2
Conditional probability experiment.
Bayes biography, of the famous Bayes theorem.
Lecture 3
Buffon's coin experiment (its a problem we solved in recitations).
My simulations: expected value.
Lecture 4
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).
Lecture 5
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.