Bayes' Theorem - Example: A disjoint union

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In this video we work through a Bayes's Theorem example where the sample space is divided into two disjoint regions, and how to apply Bayes' Theorem in such a situation. This example of a "two bucket" Bayes' theorem problem can be extended to 3 or more buckets. Most "real world" examples don't involve literal buckets like this problem, but a division into two categories such as "vaccinated" vs "unvaccinated".

The formula: P(B1|A) = P(A|B1)P(B1)/(P(A|B1)P(B1) + P(A|B2)P(B2)

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You taught me this for free much quicker than what my college tuition-paid professor ever could.

jerica
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I ve failed statistics three times but through ur tutorials I ve regained my hopes in passing thi module. thank you

musancube
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Crazy how he explains it the way I want it to be explained. That’s an ideal teacher right there.

quitekid
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I have given up my statistics major and almost shifted to arts and commerce but after I saw your 8 minute and 31 seconds of pure awesomeness, I have decided to stick to my major and be a failing student.

sinnerg
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I tried understanding this for ages from my textbook unsuccessfully, this helped immensely

okey
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This was incredible. Your excitement for the problem helped make the theory exceptionally clear and concise. Thank you!

Statemachine
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Years later, thank you sir. This helped me so much. Very detailed!

Wayfarer
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ur such an amazing teacher what i failed to understand in my class after listening to an hour of lecture you thought the same thing in a better way and that too in few minutes . thank you sir

raghunandanbs
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Thank you sir for your clear and simple explanation of Bayes theorem.

suyashsreekumar
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I don't think you know what a daddy you are. You help us uni guys so much, thank you so much!

melchiortod
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I am so glad I've found this video. The Bayes' theorem is made so easy, thanks very much, great job!

francys
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Great work sir the video helped me so much. your idea is a bit different and simple from the commonly taught expression of Baye's theorem.thanks

ayushsatyam
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I literally watched just this one video and now I can solve soooo many problems!! Thanks a lot 😄

sahanaparasuram
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I really enjoy ypur teaching. Makes maths so simple to understand. Glad i found you 🤩🤩

jasmineakuacaut-pinto
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Thanks for this simple yet clear explanation.

mehrishyousuf
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just love your videos, understood why-to-do instead of the traditional what-to-do, ad I just wanted to keep listening, which is not common for me, thanks

riddhispeaks
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Bayes theorem was a puzzle for me for manymany years, because my education was frequentist, and the stats people were still disputing each other. My bosses boss once called me into the office and asked me about the Monty Hall riddle.... I just happened to guess the right answer! So I got to keep my job! Anyway, 'I like how you said 'having balls..'.. all mathematicians must have balls, including the women because it automatically means you have an infinite number spheres and circles too! Beautiful harmonic shapes, and now I understand something that is fundamental to being a scientist and a mathematician! Thank you!

sdsa
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Thank you Sir for the beautiful explanation.

taqiyasir
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I have learned more in 1 day than in a whole semester

Manofthehours
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i love you, i have literally never understood anything in life better <3

bineetapareek