This is my first time ever making anything like this and it was a lot of fun! If you have any feedback for me, I'd be happy to hear it so I can improve for my next video.

This video is also my entry into 3blue1brown's SoME competition.

Animated with:
The Manim Community Developers. (2021). Manim – Mathematical Animation Framework (Version v0.12.0) [Computer software]. https://www.manim.community/

Sources used:
https://stackoverflow.com/questions/5...
https://www.hindawi.com/journals/ijmm...
https://programming.guide/randompoin...

Chapters:
0:00 Introduction
0:23 Rejection Sampling
2:59 Coordinate Systems
4:59 Inverse Transform Sampling
10:34 Infinite Triangle Sampling
12:49 random() + random() vs random() * 2
13:59 IrwinHall Distribution
16:17 max(random(), random())
17:37 Conclusion