Bayes' Theorem - The Simplest Case

Bayes' Theorem is an incredibly powerful theorem in probability that allows us to relate P(A|B) to P(B|A). This is helpful because we often have an asymmetry where one of these conditional probabilities is easy to compute and the other is not. It let's us treat compute how to update our probabilities given new information.

The formula: P(A|B) = P(B|A)P(A)/P(B)

0:00 Deriving Bayes' Theorem
1:40 The Formula
2:57 First Example

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[D]

spent 1 hour reading and trying to understand the textbook, still dont get it. 2 minutes into this video and i understand the whole concept about bayes theorem. thank you sir.

[KdotVdotBot]

You will be the reason I pass my college Stats class, God Bless.

[wilsonwil]

Well done, my data science professor spent 2 hours on this and we were all confused! You explained it in 5 minutes, thanks Trefor for sharing knowledge, really appreciated!

[probablytheamaziiingtim]

I study Probabilities in French and no French video was as helpful as yours, God bless you and thank god i'm bilingual

[ccuny]

This is exactly how I prefer to approach Bayes' Theorem: a short and sweet reminder about conditional probability rules so that the formula can be derived from first principles rather than recalled from memory. Most excellent Trefor.

[thesofiya]

I was trying to understand the formula for a week and almost gave up when I found this video. Now i FINALLY understand it. Thanks so much!! This is the best explanation of Bayes' Rule that I've seen.

[elsiegama]

It's been 4 years and the knowledge still flows on from here to there. I'm just glad you made this video coz I understand a concept I been struggling to understand in class!👍🏼

[clandadyt]

I have a exam in a few hours in the morning, and felt I needed this, and you will be the reason I do well! thank you for being you.

[oz]

I have been scratching my head for hours and searching everywhere to understand this and I almost quit, but you sir are a legend. Thank you for the video.

[TheClockmister]

Idk what the problem is, but it seems like all teachers/textbooks fail to explain it easily. Thanks for the clear explanation in such little time

[LucaSantos]

The most clarifying explanation I've ever seen about this, spending just a few minutes.

[JaniceTheFrog]

this dude is so engaging, its actually making it fun to learn this.

[mattmaisonneuve]

I don't usually make YouTube comments but ever since my calculus course went online with no access to video learning, I've been drowning. This video made it so easy to understand. Thanks for posting this.

[luvyjustinbeiber]

I'm taking statistics online with TONS of reading and was completely lost before this video. thank you so much!!

[brpawankumariyengar]

This is the BEST VIDEO on Bayes Theorem. Thank you so very much for such a wonderful video. I saw so many videos but this is the ultimate. Thank you very much. My gratitude for posting such a well made video. Excellent way to explain.

[LwaziMgandela]

This is so useful. I sometimes find myself getting stuck because I don’t have “enough information”. This will definitely help in this today’s exam 🔥

[GammaTheRed]

You sir have saved my Math IA singlehandedly. Thank you so much! This video was so simple and easy to understand, it makes me want to learn more!

[sishiryerradoddi]

Thank you for this. Hours of research didn't help but your work was exceptional.

[tatiana]

Love This was short, easy-to-understand and many more! Thanks for the timestamps! These are helpful.

[harshdeeptelang]

an old video that still has updated timestamps! great work brother!