Master Bayes' Theorem with Easy-to-Follow Examples đ
Learn how to apply Bayes' Theorem through simple, clear examples. Watch the full series for a deeper understanding and improve your probability skills!

Dr. Trefor Bazett
1.8M views âą Nov 19, 2017

About this video
âșSecond Bayes' Theorem example: https://www.youtube.com/watch?v=k6Dw0on6NtM
âșThird Bayes' Theorem example: https://www.youtube.com/watch?v=HaYbxQC61pw
âșFULL Discrete Math Playlist: https://www.youtube.com/watch?v=rdXw7Ps9vxc&list=PLHXZ9OQGMqxersk8fUxiUMSIx0DBqsKZS
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)
âĄâĄâĄSUPPORT THE CHANNELâĄâĄâĄ
âșSupport on PATREON: https://patreon.com/DrTrefor
âșMATH BOOKS I LOVE (affiliate link): https://www.amazon.com/shop/treforbazett
âșCURIOSITY BOX: https://www.CuriosityBox.com/DrTrefor use CODE drtrefor for 25% off awesome STEM merch boxes
0:00 Deriving Bayes' Theorem
1:40 The Formula
2:57 First Example
COURSE PLAYLISTS:
âșDISCRETE MATH: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxersk8fUxiUMSIx0DBqsKZS
âșLINEAR ALGEBRA: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfUl0tcqPNTJsb7R6BqSLo6
âșCALCULUS I: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfT9RMcReZ4WcoVILP4k6-m
âșCALCULUS II: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc4ySKTIW19TLrT91Ik9M4n
âșMULTIVARIABLE CALCULUS (Calc III): https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc_CvEy7xBKRQr6I214QJcd
âșVECTOR CALCULUS (Calc IV) https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfW0GMqeUE1bLKaYor6kbHa
âșDIFFERENTIAL EQUATIONS: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxde-SlgmWlCmNHroIWtujBw
âșLAPLACE TRANSFORM: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxcJXnLr08cyNaup4RDsbAl1
âșGAME THEORY: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxdzD8KpTHz6_gsw9pPxRFlX
OTHER PLAYLISTS:
âșCool Math Series:
https://www.youtube.com/playlist?list=PLHXZ9OQGMqxelE_9RzwJ-cqfUtaFBpiho
âș Learning Math Series
https://www.youtube.com/watch?v=LPH2lqis3D0&list=PLHXZ9OQGMqxfSkRtlL5KPq6JqMNTh_MBw
SOCIALS:
âșX/Twitter: http://X.com/treforbazett
âșTikTok: http://tiktok.com/@drtrefor
âșInstagram (photography based): http://instagram.com/treforphotography
âșThird Bayes' Theorem example: https://www.youtube.com/watch?v=HaYbxQC61pw
âșFULL Discrete Math Playlist: https://www.youtube.com/watch?v=rdXw7Ps9vxc&list=PLHXZ9OQGMqxersk8fUxiUMSIx0DBqsKZS
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)
âĄâĄâĄSUPPORT THE CHANNELâĄâĄâĄ
âșSupport on PATREON: https://patreon.com/DrTrefor
âșMATH BOOKS I LOVE (affiliate link): https://www.amazon.com/shop/treforbazett
âșCURIOSITY BOX: https://www.CuriosityBox.com/DrTrefor use CODE drtrefor for 25% off awesome STEM merch boxes
0:00 Deriving Bayes' Theorem
1:40 The Formula
2:57 First Example
COURSE PLAYLISTS:
âșDISCRETE MATH: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxersk8fUxiUMSIx0DBqsKZS
âșLINEAR ALGEBRA: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfUl0tcqPNTJsb7R6BqSLo6
âșCALCULUS I: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfT9RMcReZ4WcoVILP4k6-m
âșCALCULUS II: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc4ySKTIW19TLrT91Ik9M4n
âșMULTIVARIABLE CALCULUS (Calc III): https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc_CvEy7xBKRQr6I214QJcd
âșVECTOR CALCULUS (Calc IV) https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfW0GMqeUE1bLKaYor6kbHa
âșDIFFERENTIAL EQUATIONS: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxde-SlgmWlCmNHroIWtujBw
âșLAPLACE TRANSFORM: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxcJXnLr08cyNaup4RDsbAl1
âșGAME THEORY: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxdzD8KpTHz6_gsw9pPxRFlX
OTHER PLAYLISTS:
âșCool Math Series:
https://www.youtube.com/playlist?list=PLHXZ9OQGMqxelE_9RzwJ-cqfUtaFBpiho
âș Learning Math Series
https://www.youtube.com/watch?v=LPH2lqis3D0&list=PLHXZ9OQGMqxfSkRtlL5KPq6JqMNTh_MBw
SOCIALS:
âșX/Twitter: http://X.com/treforbazett
âșTikTok: http://tiktok.com/@drtrefor
âșInstagram (photography based): http://instagram.com/treforphotography
Tags and Topics
Browse our collection to discover more content in these categories.
Video Information
Views
1.8M
Likes
23.7K
Duration
5:31
Published
Nov 19, 2017
User Reviews
4.7
(368) Related Trending Topics
LIVE TRENDSRelated trending topics. Click any trend to explore more videos.
Trending Now