Bayes' Theorem, Clearly Explained!!!!

Bayes' Theorem is the foundation of Bayesian Statistics. This video was you through, step-by-step, how it is easily derived and why it is useful.

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0:00 Awesome song and introduction
3:05 A note about notation
5:21 Deriving Bayes' Theorem
9:12 Why Bayes' Theorem is useful
11:39 Another note about notation

#StatQuest #Probability #Bayesian

[alexcastillo]

Can’t believe I bought three books to figure out what was show to me in two YouTube videos. Fantastic job good sir. Love the content and just became a subscriber.

[johnwig]

Josh...you have no idea how life changing ur channel is in my journey of exploring data science

[hemm]

One of the best key points to take is the longer form of representation of conditional probability. Never seen this explained in such great and easy detail than here. The longer notation makes everything so easy and simple to understand. You've a great talent to make the subject easily comprehensible for everyone. No other video in YouTube has put this concept in such a simple way to understand. Thanks & Triple Bam....❤

[hannaabe]

one stat quest video a day keeps the failures away! Thanks Josh for the awesome content as always :)

[riorvall]

Just yesterday I was looking to refresh my knowledge on Bayes theorem when I saw this video appear on my feed. Thank you StatQuest! Best way to learn and review statistics!

[binry_dstructr]

This is a much more intuitive explanation of Bayes' Theorem than the one I first learned with terms like hypothesis, evidence, prior and posterior.

[mastadodo]

I really like your videos so far, you are explaining everything enough in detail without making the videos longer than necessary. The clean animations and speaking are also godsent!

[范姜-dq]

Thank you! I didn't understand Bayes while I was studying in high school. Now I understand it! Your explain is so clear!

[johnbarbuto]

I'm not a fan of the "bam" technique; but, in my opinion the explanation is actually clearer, and more easily connected to real-world examples, than other videos which seek to explain Bayes' Theorem. Thank you! (Liked and subscribed. Will be looking at other videos of StatQuest.).

[pedrazzinig]

The "slightly" redundant notation is very important and I do agree that it deserves to be there/used. And, the/your explanation is excellent. Thank you.

[akashkewar]

I am an Indian and I love soda, but I love StatQuest more <3

[audaxxion]

After this video, I wouldn’t say I understand because this is the first time I dove in this topic, but now I certainly have the idea and I’m fascinated! Great video

[exoticcoder]

12:35 it’s tricky, meaning the same thing but with different words, thanks Josh for making it clear

[gyulboxing]

I believe your videos on YouTube could make great substitutes for many of stats course content in universities around the world!

[josevaldes]

I´m a statistics student from Colombia and I want to tell you Your channel is awesome man. keep it this great job. Thank you. again Googleplex BAM!

[TheRonakagrawal]

Don't know how many ppl relate to it.. but unnecessary optimisations to notations has really screwed up the learning/understanding of concepts. A concrete example is @03:08
This was so spot on!!!

[involuntaryoccupant]

if i ever become a professor (this is my dream), i will definitely recommend your videos for my students. your videos helped me sooo much on soooo many courses. currently doing my bachelors, wish me luck! thank you statquest!

[theFriendlyGhst]

You're notes about notation really helped me. I think that's where I got confused before seeing this.

[misterbennnn]

I went headfirst into a grad school cryptography class with zero knowledge of anything math related past high school, and this has helped me out a lot. Thank you!

[HeyRemy]

That intro is worth the price of admission alone. Thank you for making this; just subscribed!