Probability Theory 9 | Independence for Events [dark version]

Please consider to support me if this video was helpful such that I can continue to produce them :)

🙏 Thanks to all supporters! They are mentioned in the credits of the video :)

This is my video series about Probability Theory. I hope that it will help everyone who wants to learn about it.
This video is about probability theory, also known as stochastics, stochastic processes or statistics. I keep the title in this general notion because I want cover a lot of topics with the upcoming videos.

Here we talk about the important concept of independence of events. We define it for two events but also for infinitely many.

00:00 Intro
00:19 Visualization (Independence for events)
03:48 Definition of independence
04:52: Example (discrete case)
07:38 Continuous case
10:52 Outro

#ProbabilityTheory
#Analysis
#Calculus
#Mathematics

I hope that this helps students, pupils and others. Have fun!

(This explanation fits to lectures for students in their first and second year of study: Mathematics for physicists, Mathematics for the natural science, Mathematics for engineers and so on)

[RonaldoEuSi]

Thank you! Appreciate the video a alot. Awaiting the next clips :)

[dauhoang]

After watching this video, I suspect that there are usually two kinds of independent events. One kind is independent events inside some probability space, another kind is the events (A x omega 2 x ...) and (omega1 x B x ...) in a product probability space?