-
Bayes' Theorem - The Simplest Case
►Second Bayes' Theorem example: https://www.youtube.com/watch?v=k6Dw0on6NtM
►Third Bayes' Theorem example: https://www.youtube.com/watch?v=HaYbxQC61pw
►FULL 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)
0:00 Deriving Bayes' Theorem
1:40 The Formula
2:57 First Example
Check out my MATH MERCH line in collaboration with Beautiful Equations
►https://www.beautifulequation...
published: 19 Nov 2017
-
Bayes theorem, the geometry of changing beliefs
Perhaps the most important formula in probability.
Help fund future projects: https://www.patreon.com/3blue1brown
An equally valuable form of support is to simply share some of the videos.
Special thanks to these supporters: http://3b1b.co/bayes-thanks
Home page: https://www.3blue1brown.com
The quick proof: https://youtu.be/U_85TaXbeIo
Interactive made by Reddit user Thoggalluth: https://nskobelevs.github.io/p5js/BayesTheorem/
The study with Steve:
https://science.sciencemag.org/content/185/4157/1124
http://www.its.caltech.edu/~camerer/Ec101/JudgementUncertainty.pdf
You can read more about Kahneman and Tversky's work in Thinking Fast and Slow, or in one of my favorite books, The Undoing Project.
Contents:
0:00 - Intro example
4:09 - Generalizing as a formula
10:13 - Making probabilit...
published: 22 Dec 2019
-
Bayes' Theorem of Probability With Tree Diagrams & Venn Diagrams
This video tutorial provides an intro into Bayes' Theorem of probability. It explains how to use the formula in solving example problems in addition to using tree diagrams and venn diagrams.
Probability - Free Formula Sheet: https://bit.ly/3zb22rW
_______________________________
Introduction to Probability:
https://www.youtube.com/watch?v=SkidyDQuupA
Probability Formulas:
https://www.youtube.com/watch?v=bddckR734aM
Probability Explained:
https://www.youtube.com/watch?v=UORztmWGY6Q
Probability With Geometry:
https://www.youtube.com/watch?v=DeH5aHWxEaI
Probability of Complementary Events:
https://www.yout...
published: 04 Apr 2019
-
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.
For a complete index of all the StatQuest videos, check out:
https://statquest.org/video-index/
If you'd like to support StatQuest, please consider...
Buying my book, The StatQuest Illustrated Guide to Machine Learning:
PDF - https://statquest.gumroad.com/l/wvtmc
Paperback - https://www.amazon.com/dp/B09ZCKR4H6
Kindle eBook - https://www.amazon.com/dp/B09ZG79HXC
Patreon: https://www.patreon.com/statquest
...or...
YouTube Membership: https://www.youtube.com/channel/UCtYLUTtgS3k1Fg4y5tAhLbw/join
...a cool StatQuest t-shirt or sweatshirt:
https://shop.spreadshirt.com/statquest-with-josh-starmer/
...buying one or two of my songs (or go large a...
published: 16 Aug 2021
-
Bayes' Theorem EXPLAINED with Examples
Learn how to solve any Bayes' Theorem problem. This tutorial first explains the concept behind Bayes' Theorem, where the equation comes from, and finally how to use the formula in an example. Bayes' Theorem is one of the most common equations covered in Statistics due to its numerous applications to the real world. It is also one of the most misunderstood theorems, but this video will help clear all of that up!
For more help, visit: https://theacetutors.com
For more videos/content, visit: https://theacetutors.com/blog
Sign up for tutoring: https://theacetutors.com/register
published: 04 Apr 2023
-
The Bayesian Trap
Bayes' theorem explained with examples and implications for life.
Check out Audible: http://ve42.co/audible
Support Veritasium on Patreon: http://ve42.co/patreon
I didn't say it explicitly in the video, but in my view the Bayesian trap is interpreting events that happen repeatedly as events that happen inevitably. They may be inevitable OR they may simply be the outcome of a series of steps, which likely depend on our behaviour. Yet our expectation of a certain outcome often leads us to behave just as we always have which only ensures that outcome. To escape the Bayesian trap, we must be willing to experiment.
Special thanks to Patreon supporters:
Tony Fadell, Jeff Straathof, Donal Botkin, Zach Mueller, Ron Neal, Nathan Hansen, Saeed Alghamdi
Useful references:
The Signal and the Noise,...
published: 05 Apr 2017
-
The quick proof of Bayes' theorem
Including some added words on independence.
Main video: https://youtu.be/HZGCoVF3YvM
Help fund future projects: https://www.patreon.com/3blue1brown
An equally valuable form of support is to simply share some of the videos.
Special thanks to these supporters: http://3b1b.co/bayes-thanks
------------------
These animations are largely made using manim, a scrappy open-source python library: https://github.com/3b1b/manim
If you want to check it out, I feel compelled to warn you that it's not the most well-documented tool, and it has many other quirks you might expect in a library someone wrote with only their own use in mind.
Music by Vincent Rubinetti.
Download the music on Bandcamp:
https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown
Stream the music on Spoti...
published: 22 Dec 2019
-
Intro to Bayes’s Theorem | Probability Theory
What is Bayes’s theorem for conditional probability? We'll be proving it briefly in today's lesson, as it is a direct result of the definition of conditional probabilities. We'll also see how Baye's theorem works with a sample space partitioned into separate events, and an example of applying Baye's theorem! Baye's theorem gives us a way to calculate the conditional probability P(A|B) using P(B|A).
We know that the probability of A given B, P(A|B), is equal to P(A and B)/P(B) and P(B|A) = P(B and A)/P(A) = P(A and B)/P(A). Then, multiplying both sides of the second equation by P(A) we have that P(B|A)*P(A) = P(A and B) and we can substitute this into our expression for P(A|B). Thus, we have P(A|B) = P(B|A)P(A)/P(B), and this is Baye's theorem (sometimes called Baye's rule). Often times, ...
published: 19 Aug 2020
-
How to systematically approach truth - Bayes' rule
The philosopher Gottfried Wilhelm Leibniz had a dream. He hoped that progress in philosophy and mathematics would eventually yield a method to systematically figure out the truth. This video explores an approach to that dream that takes us some of the way there: Bayesianism. The basic idea of Bayesianism is to represent beliefs as probabilities and update them using the formal rules of probability theory to the best of our ability. In particular, Bayes' rule tells us how to update our degree of belief in a hypothesis after observing some evidence. Bayes' rule can inform many central tenets of scientific reasoning. One example is Cromwell's rule, which tells us with the language of probability theory that our empirical beliefs shouldn't be absolute dogmas, but always potentially put into qu...
published: 19 Feb 2022
5:31
Bayes' Theorem - The Simplest Case
►Second Bayes' Theorem example: https://www.youtube.com/watch?v=k6Dw0on6NtM
►Third Bayes' Theorem example: https://www.youtube.com/watch?v=HaYbxQC61pw
►FULL Dis...
►Second Bayes' Theorem example: https://www.youtube.com/watch?v=k6Dw0on6NtM
►Third Bayes' Theorem example: https://www.youtube.com/watch?v=HaYbxQC61pw
►FULL 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)
0:00 Deriving Bayes' Theorem
1:40 The Formula
2:57 First Example
Check out my MATH MERCH line in collaboration with Beautiful Equations
►https://www.beautifulequation.com/pages/trefor
OTHER COURSE PLAYLISTS:
►CALCULUS I: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfT9RMcReZ4WcoVILP4k6-m
► CALCULUS II: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc4ySKTIW19TLrT91Ik9M4n
►MULTIVARIABLE CALCULUS (Calc III): https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc_CvEy7xBKRQr6I214QJcd
►VECTOR CALCULUS (Calc IV): https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfW0GMqeUE1bLKaYor6kbHa
►DIFFERENTIAL EQUATIONS: https://www.youtube.com/watch?v=xeeM3TT4Zgg&list=PLHXZ9OQGMqxcJXnLr08cyNaup4RDsbAl1
►LINEAR ALGEBRA: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfUl0tcqPNTJsb7R6BqSLo6
OTHER PLAYLISTS:
► Learning Math Series
https://www.youtube.com/watch?v=LPH2lqis3D0&list=PLHXZ9OQGMqxfSkRtlL5KPq6JqMNTh_MBw
►Cool Math Series:
https://www.youtube.com/playlist?list=PLHXZ9OQGMqxelE_9RzwJ-cqfUtaFBpiho
BECOME A MEMBER:
►Join: https://www.youtube.com/channel/UC9rTsvTxJnx1DNrDA3Rqa6A/join
SOCIALS:
►Twitter (math based): http://twitter.com/treforbazett
►Instagram (photography based): http://instagram.com/treforphotography
https://wn.com/Bayes'_Theorem_The_Simplest_Case
►Second Bayes' Theorem example: https://www.youtube.com/watch?v=k6Dw0on6NtM
►Third Bayes' Theorem example: https://www.youtube.com/watch?v=HaYbxQC61pw
►FULL 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)
0:00 Deriving Bayes' Theorem
1:40 The Formula
2:57 First Example
Check out my MATH MERCH line in collaboration with Beautiful Equations
►https://www.beautifulequation.com/pages/trefor
OTHER COURSE PLAYLISTS:
►CALCULUS I: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfT9RMcReZ4WcoVILP4k6-m
► CALCULUS II: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc4ySKTIW19TLrT91Ik9M4n
►MULTIVARIABLE CALCULUS (Calc III): https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc_CvEy7xBKRQr6I214QJcd
►VECTOR CALCULUS (Calc IV): https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfW0GMqeUE1bLKaYor6kbHa
►DIFFERENTIAL EQUATIONS: https://www.youtube.com/watch?v=xeeM3TT4Zgg&list=PLHXZ9OQGMqxcJXnLr08cyNaup4RDsbAl1
►LINEAR ALGEBRA: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfUl0tcqPNTJsb7R6BqSLo6
OTHER PLAYLISTS:
► Learning Math Series
https://www.youtube.com/watch?v=LPH2lqis3D0&list=PLHXZ9OQGMqxfSkRtlL5KPq6JqMNTh_MBw
►Cool Math Series:
https://www.youtube.com/playlist?list=PLHXZ9OQGMqxelE_9RzwJ-cqfUtaFBpiho
BECOME A MEMBER:
►Join: https://www.youtube.com/channel/UC9rTsvTxJnx1DNrDA3Rqa6A/join
SOCIALS:
►Twitter (math based): http://twitter.com/treforbazett
►Instagram (photography based): http://instagram.com/treforphotography
- published: 19 Nov 2017
- views: 1558657
15:11
Bayes theorem, the geometry of changing beliefs
Perhaps the most important formula in probability.
Help fund future projects: https://www.patreon.com/3blue1brown
An equally valuable form of support is to simp...
Perhaps the most important formula in probability.
Help fund future projects: https://www.patreon.com/3blue1brown
An equally valuable form of support is to simply share some of the videos.
Special thanks to these supporters: http://3b1b.co/bayes-thanks
Home page: https://www.3blue1brown.com
The quick proof: https://youtu.be/U_85TaXbeIo
Interactive made by Reddit user Thoggalluth: https://nskobelevs.github.io/p5js/BayesTheorem/
The study with Steve:
https://science.sciencemag.org/content/185/4157/1124
http://www.its.caltech.edu/~camerer/Ec101/JudgementUncertainty.pdf
You can read more about Kahneman and Tversky's work in Thinking Fast and Slow, or in one of my favorite books, The Undoing Project.
Contents:
0:00 - Intro example
4:09 - Generalizing as a formula
10:13 - Making probability intuitive
13:35 - Issues with the Steve example
Thanks to these viewers for their contributions to translations
Gujarati: Hitesh12358, Pragna1991
Hebrew: Omer Tuchfeld
Italian: @crampaldo
------------------
These animations are largely made using manim, a scrappy open-source python library: https://github.com/3b1b/manim
If you want to check it out, I feel compelled to warn you that it's not the most well-documented tool, and it has many other quirks you might expect in a library someone wrote with only their own use in mind.
Music by Vincent Rubinetti.
Download the music on Bandcamp:
https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown
Stream the music on Spotify:
https://open.spotify.com/album/1dVyjwS8FBqXhRunaG5W5u
If you want to contribute translated subtitles or to help review those that have already been made by others and need approval, you can click the gear icon in the video and go to subtitles/cc, then "add subtitles/cc". I really appreciate those who do this, as it helps make the lessons accessible to more people.
------------------
3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted on new videos, subscribe: http://3b1b.co/subscribe
Various social media stuffs:
Website: https://www.3blue1brown.com
Twitter: https://twitter.com/3blue1brown
Reddit: https://www.reddit.com/r/3blue1brown
Instagram: https://www.instagram.com/3blue1brown_animations/
Patreon: https://patreon.com/3blue1brown
Facebook: https://www.facebook.com/3blue1brown
https://wn.com/Bayes_Theorem,_The_Geometry_Of_Changing_Beliefs
Perhaps the most important formula in probability.
Help fund future projects: https://www.patreon.com/3blue1brown
An equally valuable form of support is to simply share some of the videos.
Special thanks to these supporters: http://3b1b.co/bayes-thanks
Home page: https://www.3blue1brown.com
The quick proof: https://youtu.be/U_85TaXbeIo
Interactive made by Reddit user Thoggalluth: https://nskobelevs.github.io/p5js/BayesTheorem/
The study with Steve:
https://science.sciencemag.org/content/185/4157/1124
http://www.its.caltech.edu/~camerer/Ec101/JudgementUncertainty.pdf
You can read more about Kahneman and Tversky's work in Thinking Fast and Slow, or in one of my favorite books, The Undoing Project.
Contents:
0:00 - Intro example
4:09 - Generalizing as a formula
10:13 - Making probability intuitive
13:35 - Issues with the Steve example
Thanks to these viewers for their contributions to translations
Gujarati: Hitesh12358, Pragna1991
Hebrew: Omer Tuchfeld
Italian: @crampaldo
------------------
These animations are largely made using manim, a scrappy open-source python library: https://github.com/3b1b/manim
If you want to check it out, I feel compelled to warn you that it's not the most well-documented tool, and it has many other quirks you might expect in a library someone wrote with only their own use in mind.
Music by Vincent Rubinetti.
Download the music on Bandcamp:
https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown
Stream the music on Spotify:
https://open.spotify.com/album/1dVyjwS8FBqXhRunaG5W5u
If you want to contribute translated subtitles or to help review those that have already been made by others and need approval, you can click the gear icon in the video and go to subtitles/cc, then "add subtitles/cc". I really appreciate those who do this, as it helps make the lessons accessible to more people.
------------------
3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted on new videos, subscribe: http://3b1b.co/subscribe
Various social media stuffs:
Website: https://www.3blue1brown.com
Twitter: https://twitter.com/3blue1brown
Reddit: https://www.reddit.com/r/3blue1brown
Instagram: https://www.instagram.com/3blue1brown_animations/
Patreon: https://patreon.com/3blue1brown
Facebook: https://www.facebook.com/3blue1brown
- published: 22 Dec 2019
- views: 4555622
19:14
Bayes' Theorem of Probability With Tree Diagrams & Venn Diagrams
This video tutorial provides an intro into Bayes' Theorem of probability. It explains how to use the formula in solving example problems in addition to using t...
This video tutorial provides an intro into Bayes' Theorem of probability. It explains how to use the formula in solving example problems in addition to using tree diagrams and venn diagrams.
Probability - Free Formula Sheet: https://bit.ly/3zb22rW
_______________________________
Introduction to Probability:
https://www.youtube.com/watch?v=SkidyDQuupA
Probability Formulas:
https://www.youtube.com/watch?v=bddckR734aM
Probability Explained:
https://www.youtube.com/watch?v=UORztmWGY6Q
Probability With Geometry:
https://www.youtube.com/watch?v=DeH5aHWxEaI
Probability of Complementary Events:
https://www.youtube.com/watch?v=0T-CaQCiSf4
Conditional Probability:
https://www.youtube.com/watch?v=sqDVrXq_eh0
__________________________________
Independent and Dependent Events:
https://www.youtube.com/watch?v=lWAdPyvm400
Probability of Mutual Exclusive Events:
https://www.youtube.com/watch?v=X6usGgwXFyU
Multiplication and Addition Rule:
https://www.youtube.com/watch?v=94AmzeR9n2w
Compound Probability:
https://www.youtube.com/watch?v=EHU6pVSczb4
Expected Value:
https://www.youtube.com/watch?v=b6VK2VPMXNI
Probability Tree Diagrams:
https://www.youtube.com/watch?v=w4wKXVwtGac
___________________________________
Bayes Theorem:
https://www.youtube.com/watch?v=OByl4RJxnKA
Probability - Binomial Distribution:
https://www.youtube.com/watch?v=3PWKQiLK41M
Probability - Geometric Distribution:
https://www.youtube.com/watch?v=d5iAWPnrH6w
Probability - Poisson Distribution:
https://www.youtube.com/watch?v=m0o-585xwW0
Continuous Probability Distributions:
https://www.youtube.com/watch?v=QxqxdQ_g2uw
Probability Density Functions:
https://www.youtube.com/watch?v=3xAIWiTJCvE
__________________________________
Probability - Uniform Distributions:
https://www.youtube.com/watch?v=KfunVw-0AH0
Probability - Exponential Distributions:
https://www.youtube.com/watch?v=J3KSjZFVbis
Probability - Normal Distributions (Calculus):
https://www.youtube.com/watch?v=gHBL5Zau3NE
Probability - Standard Normal Distributions:
https://www.youtube.com/watch?v=CjF_yQ2N638
Probability - The Law of Large Numbers:
https://www.youtube.com/watch?v=ihTpK6dXSas
___________________________________
Final Exams and Video Playlists:
https://www.video-tutor.net/
Full-Length Videos and Worksheets:
https://www.patreon.com/MathScienceTutor/collections
https://wn.com/Bayes'_Theorem_Of_Probability_With_Tree_Diagrams_Venn_Diagrams
This video tutorial provides an intro into Bayes' Theorem of probability. It explains how to use the formula in solving example problems in addition to using tree diagrams and venn diagrams.
Probability - Free Formula Sheet: https://bit.ly/3zb22rW
_______________________________
Introduction to Probability:
https://www.youtube.com/watch?v=SkidyDQuupA
Probability Formulas:
https://www.youtube.com/watch?v=bddckR734aM
Probability Explained:
https://www.youtube.com/watch?v=UORztmWGY6Q
Probability With Geometry:
https://www.youtube.com/watch?v=DeH5aHWxEaI
Probability of Complementary Events:
https://www.youtube.com/watch?v=0T-CaQCiSf4
Conditional Probability:
https://www.youtube.com/watch?v=sqDVrXq_eh0
__________________________________
Independent and Dependent Events:
https://www.youtube.com/watch?v=lWAdPyvm400
Probability of Mutual Exclusive Events:
https://www.youtube.com/watch?v=X6usGgwXFyU
Multiplication and Addition Rule:
https://www.youtube.com/watch?v=94AmzeR9n2w
Compound Probability:
https://www.youtube.com/watch?v=EHU6pVSczb4
Expected Value:
https://www.youtube.com/watch?v=b6VK2VPMXNI
Probability Tree Diagrams:
https://www.youtube.com/watch?v=w4wKXVwtGac
___________________________________
Bayes Theorem:
https://www.youtube.com/watch?v=OByl4RJxnKA
Probability - Binomial Distribution:
https://www.youtube.com/watch?v=3PWKQiLK41M
Probability - Geometric Distribution:
https://www.youtube.com/watch?v=d5iAWPnrH6w
Probability - Poisson Distribution:
https://www.youtube.com/watch?v=m0o-585xwW0
Continuous Probability Distributions:
https://www.youtube.com/watch?v=QxqxdQ_g2uw
Probability Density Functions:
https://www.youtube.com/watch?v=3xAIWiTJCvE
__________________________________
Probability - Uniform Distributions:
https://www.youtube.com/watch?v=KfunVw-0AH0
Probability - Exponential Distributions:
https://www.youtube.com/watch?v=J3KSjZFVbis
Probability - Normal Distributions (Calculus):
https://www.youtube.com/watch?v=gHBL5Zau3NE
Probability - Standard Normal Distributions:
https://www.youtube.com/watch?v=CjF_yQ2N638
Probability - The Law of Large Numbers:
https://www.youtube.com/watch?v=ihTpK6dXSas
___________________________________
Final Exams and Video Playlists:
https://www.video-tutor.net/
Full-Length Videos and Worksheets:
https://www.patreon.com/MathScienceTutor/collections
- published: 04 Apr 2019
- views: 1044335
14:00
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.
For a complet...
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.
For a complete index of all the StatQuest videos, check out:
https://statquest.org/video-index/
If you'd like to support StatQuest, please consider...
Buying my book, The StatQuest Illustrated Guide to Machine Learning:
PDF - https://statquest.gumroad.com/l/wvtmc
Paperback - https://www.amazon.com/dp/B09ZCKR4H6
Kindle eBook - https://www.amazon.com/dp/B09ZG79HXC
Patreon: https://www.patreon.com/statquest
...or...
YouTube Membership: https://www.youtube.com/channel/UCtYLUTtgS3k1Fg4y5tAhLbw/join
...a cool StatQuest t-shirt or sweatshirt:
https://shop.spreadshirt.com/statquest-with-josh-starmer/
...buying one or two of my songs (or go large and get a whole album!)
https://joshuastarmer.bandcamp.com/
...or just donating to StatQuest!
https://www.paypal.me/statquest
Lastly, if you want to keep up with me as I research and create new StatQuests, follow me on twitter:
https://twitter.com/joshuastarmer
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
https://wn.com/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.
For a complete index of all the StatQuest videos, check out:
https://statquest.org/video-index/
If you'd like to support StatQuest, please consider...
Buying my book, The StatQuest Illustrated Guide to Machine Learning:
PDF - https://statquest.gumroad.com/l/wvtmc
Paperback - https://www.amazon.com/dp/B09ZCKR4H6
Kindle eBook - https://www.amazon.com/dp/B09ZG79HXC
Patreon: https://www.patreon.com/statquest
...or...
YouTube Membership: https://www.youtube.com/channel/UCtYLUTtgS3k1Fg4y5tAhLbw/join
...a cool StatQuest t-shirt or sweatshirt:
https://shop.spreadshirt.com/statquest-with-josh-starmer/
...buying one or two of my songs (or go large and get a whole album!)
https://joshuastarmer.bandcamp.com/
...or just donating to StatQuest!
https://www.paypal.me/statquest
Lastly, if you want to keep up with me as I research and create new StatQuests, follow me on twitter:
https://twitter.com/joshuastarmer
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
- published: 16 Aug 2021
- views: 368534
8:03
Bayes' Theorem EXPLAINED with Examples
Learn how to solve any Bayes' Theorem problem. This tutorial first explains the concept behind Bayes' Theorem, where the equation comes from, and finally how t...
Learn how to solve any Bayes' Theorem problem. This tutorial first explains the concept behind Bayes' Theorem, where the equation comes from, and finally how to use the formula in an example. Bayes' Theorem is one of the most common equations covered in Statistics due to its numerous applications to the real world. It is also one of the most misunderstood theorems, but this video will help clear all of that up!
For more help, visit: https://theacetutors.com
For more videos/content, visit: https://theacetutors.com/blog
Sign up for tutoring: https://theacetutors.com/register
https://wn.com/Bayes'_Theorem_Explained_With_Examples
Learn how to solve any Bayes' Theorem problem. This tutorial first explains the concept behind Bayes' Theorem, where the equation comes from, and finally how to use the formula in an example. Bayes' Theorem is one of the most common equations covered in Statistics due to its numerous applications to the real world. It is also one of the most misunderstood theorems, but this video will help clear all of that up!
For more help, visit: https://theacetutors.com
For more videos/content, visit: https://theacetutors.com/blog
Sign up for tutoring: https://theacetutors.com/register
- published: 04 Apr 2023
- views: 305344
10:37
The Bayesian Trap
Bayes' theorem explained with examples and implications for life.
Check out Audible: http://ve42.co/audible
Support Veritasium on Patreon: http://ve42.co/patreo...
Bayes' theorem explained with examples and implications for life.
Check out Audible: http://ve42.co/audible
Support Veritasium on Patreon: http://ve42.co/patreon
I didn't say it explicitly in the video, but in my view the Bayesian trap is interpreting events that happen repeatedly as events that happen inevitably. They may be inevitable OR they may simply be the outcome of a series of steps, which likely depend on our behaviour. Yet our expectation of a certain outcome often leads us to behave just as we always have which only ensures that outcome. To escape the Bayesian trap, we must be willing to experiment.
Special thanks to Patreon supporters:
Tony Fadell, Jeff Straathof, Donal Botkin, Zach Mueller, Ron Neal, Nathan Hansen, Saeed Alghamdi
Useful references:
The Signal and the Noise, Nate Silver
The Theory That Would Not Die: How Bayes’ Rule Cracked the Enigma Code, Hunted Down Russian Submarines, and Emerged Triumphant from Two Centuries of Controversy, by Sharon Bertsch McGrayne
Bayes' theorem or rule (there are many different versions of the same concept) has fascinated me for a long time due to its uses both in mathematics and statistics, and to solve real world problems. Bayesian inference has been used to crack the Enigma Code and to filter spam email. Bayes has also been used to locate the wreckage from plane crashes deep beneath the sea.
Music from http://epidemicsound.com "Flourishing Views 3"
https://wn.com/The_Bayesian_Trap
Bayes' theorem explained with examples and implications for life.
Check out Audible: http://ve42.co/audible
Support Veritasium on Patreon: http://ve42.co/patreon
I didn't say it explicitly in the video, but in my view the Bayesian trap is interpreting events that happen repeatedly as events that happen inevitably. They may be inevitable OR they may simply be the outcome of a series of steps, which likely depend on our behaviour. Yet our expectation of a certain outcome often leads us to behave just as we always have which only ensures that outcome. To escape the Bayesian trap, we must be willing to experiment.
Special thanks to Patreon supporters:
Tony Fadell, Jeff Straathof, Donal Botkin, Zach Mueller, Ron Neal, Nathan Hansen, Saeed Alghamdi
Useful references:
The Signal and the Noise, Nate Silver
The Theory That Would Not Die: How Bayes’ Rule Cracked the Enigma Code, Hunted Down Russian Submarines, and Emerged Triumphant from Two Centuries of Controversy, by Sharon Bertsch McGrayne
Bayes' theorem or rule (there are many different versions of the same concept) has fascinated me for a long time due to its uses both in mathematics and statistics, and to solve real world problems. Bayesian inference has been used to crack the Enigma Code and to filter spam email. Bayes has also been used to locate the wreckage from plane crashes deep beneath the sea.
Music from http://epidemicsound.com "Flourishing Views 3"
- published: 05 Apr 2017
- views: 4176503
3:48
The quick proof of Bayes' theorem
Including some added words on independence.
Main video: https://youtu.be/HZGCoVF3YvM
Help fund future projects: https://www.patreon.com/3blue1brown
An equally v...
Including some added words on independence.
Main video: https://youtu.be/HZGCoVF3YvM
Help fund future projects: https://www.patreon.com/3blue1brown
An equally valuable form of support is to simply share some of the videos.
Special thanks to these supporters: http://3b1b.co/bayes-thanks
------------------
These animations are largely made using manim, a scrappy open-source python library: https://github.com/3b1b/manim
If you want to check it out, I feel compelled to warn you that it's not the most well-documented tool, and it has many other quirks you might expect in a library someone wrote with only their own use in mind.
Music by Vincent Rubinetti.
Download the music on Bandcamp:
https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown
Stream the music on Spotify:
https://open.spotify.com/album/1dVyjwS8FBqXhRunaG5W5u
If you want to contribute translated subtitles or to help review those that have already been made by others and need approval, you can click the gear icon in the video and go to subtitles/cc, then "add subtitles/cc". I really appreciate those who do this, as it helps make the lessons accessible to more people.
------------------
3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted on new videos, subscribe: http://3b1b.co/subscribe
Various social media stuffs:
Website: https://www.3blue1brown.com
Twitter: https://twitter.com/3blue1brown
Reddit: https://www.reddit.com/r/3blue1brown
Instagram: https://www.instagram.com/3blue1brown_animations/
Patreon: https://patreon.com/3blue1brown
Facebook: https://www.facebook.com/3blue1brown
https://wn.com/The_Quick_Proof_Of_Bayes'_Theorem
Including some added words on independence.
Main video: https://youtu.be/HZGCoVF3YvM
Help fund future projects: https://www.patreon.com/3blue1brown
An equally valuable form of support is to simply share some of the videos.
Special thanks to these supporters: http://3b1b.co/bayes-thanks
------------------
These animations are largely made using manim, a scrappy open-source python library: https://github.com/3b1b/manim
If you want to check it out, I feel compelled to warn you that it's not the most well-documented tool, and it has many other quirks you might expect in a library someone wrote with only their own use in mind.
Music by Vincent Rubinetti.
Download the music on Bandcamp:
https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown
Stream the music on Spotify:
https://open.spotify.com/album/1dVyjwS8FBqXhRunaG5W5u
If you want to contribute translated subtitles or to help review those that have already been made by others and need approval, you can click the gear icon in the video and go to subtitles/cc, then "add subtitles/cc". I really appreciate those who do this, as it helps make the lessons accessible to more people.
------------------
3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted on new videos, subscribe: http://3b1b.co/subscribe
Various social media stuffs:
Website: https://www.3blue1brown.com
Twitter: https://twitter.com/3blue1brown
Reddit: https://www.reddit.com/r/3blue1brown
Instagram: https://www.instagram.com/3blue1brown_animations/
Patreon: https://patreon.com/3blue1brown
Facebook: https://www.facebook.com/3blue1brown
- published: 22 Dec 2019
- views: 497620
12:41
Intro to Bayes’s Theorem | Probability Theory
What is Bayes’s theorem for conditional probability? We'll be proving it briefly in today's lesson, as it is a direct result of the definition of conditional pr...
What is Bayes’s theorem for conditional probability? We'll be proving it briefly in today's lesson, as it is a direct result of the definition of conditional probabilities. We'll also see how Baye's theorem works with a sample space partitioned into separate events, and an example of applying Baye's theorem! Baye's theorem gives us a way to calculate the conditional probability P(A|B) using P(B|A).
We know that the probability of A given B, P(A|B), is equal to P(A and B)/P(B) and P(B|A) = P(B and A)/P(A) = P(A and B)/P(A). Then, multiplying both sides of the second equation by P(A) we have that P(B|A)*P(A) = P(A and B) and we can substitute this into our expression for P(A|B). Thus, we have P(A|B) = P(B|A)P(A)/P(B), and this is Baye's theorem (sometimes called Baye's rule). Often times, we will have to calculate P(B) in the denominator using the Law of Total Probability.
I meant to put this in the video as a caption: the example problem is from "Probability" by Jim Pitman.
Intro to Conditional Probability: https://www.youtube.com/watch?v=FtFR80FcJjU
Law of Total Probability: https://www.youtube.com/watch?v=U3_783xznQI
◆ Donate on PayPal: https://www.paypal.me/wrathofmath
◆ Support Wrath of Math on Patreon: https://www.patreon.com/join/wrathofmathlessons
I hope you find this video helpful, and be sure to ask any questions down in the comments!
********************************************************************
The outro music is by a favorite musician of mine named Vallow, who, upon my request, kindly gave me permission to use his music in my outros. I usually put my own music in the outros, but I love Vallow's music, and wanted to share it with those of you watching. Please check out all of his wonderful work.
Vallow Bandcamp: https://vallow.bandcamp.com/
Vallow Spotify: https://open.spotify.com/artist/0fRtulS8R2Sr0nkRLJJ6eW
Vallow SoundCloud: https://soundcloud.com/benwatts-3
********************************************************************
+WRATH OF MATH+
Follow Wrath of Math on...
● Instagram: https://www.instagram.com/wrathofmathedu
● Facebook: https://www.facebook.com/WrathofMath
● Twitter: https://twitter.com/wrathofmathedu
My Music Channel: http://www.youtube.com/seanemusic
https://wn.com/Intro_To_Bayes’S_Theorem_|_Probability_Theory
What is Bayes’s theorem for conditional probability? We'll be proving it briefly in today's lesson, as it is a direct result of the definition of conditional probabilities. We'll also see how Baye's theorem works with a sample space partitioned into separate events, and an example of applying Baye's theorem! Baye's theorem gives us a way to calculate the conditional probability P(A|B) using P(B|A).
We know that the probability of A given B, P(A|B), is equal to P(A and B)/P(B) and P(B|A) = P(B and A)/P(A) = P(A and B)/P(A). Then, multiplying both sides of the second equation by P(A) we have that P(B|A)*P(A) = P(A and B) and we can substitute this into our expression for P(A|B). Thus, we have P(A|B) = P(B|A)P(A)/P(B), and this is Baye's theorem (sometimes called Baye's rule). Often times, we will have to calculate P(B) in the denominator using the Law of Total Probability.
I meant to put this in the video as a caption: the example problem is from "Probability" by Jim Pitman.
Intro to Conditional Probability: https://www.youtube.com/watch?v=FtFR80FcJjU
Law of Total Probability: https://www.youtube.com/watch?v=U3_783xznQI
◆ Donate on PayPal: https://www.paypal.me/wrathofmath
◆ Support Wrath of Math on Patreon: https://www.patreon.com/join/wrathofmathlessons
I hope you find this video helpful, and be sure to ask any questions down in the comments!
********************************************************************
The outro music is by a favorite musician of mine named Vallow, who, upon my request, kindly gave me permission to use his music in my outros. I usually put my own music in the outros, but I love Vallow's music, and wanted to share it with those of you watching. Please check out all of his wonderful work.
Vallow Bandcamp: https://vallow.bandcamp.com/
Vallow Spotify: https://open.spotify.com/artist/0fRtulS8R2Sr0nkRLJJ6eW
Vallow SoundCloud: https://soundcloud.com/benwatts-3
********************************************************************
+WRATH OF MATH+
Follow Wrath of Math on...
● Instagram: https://www.instagram.com/wrathofmathedu
● Facebook: https://www.facebook.com/WrathofMath
● Twitter: https://twitter.com/wrathofmathedu
My Music Channel: http://www.youtube.com/seanemusic
- published: 19 Aug 2020
- views: 56358
19:08
How to systematically approach truth - Bayes' rule
The philosopher Gottfried Wilhelm Leibniz had a dream. He hoped that progress in philosophy and mathematics would eventually yield a method to systematically fi...
The philosopher Gottfried Wilhelm Leibniz had a dream. He hoped that progress in philosophy and mathematics would eventually yield a method to systematically figure out the truth. This video explores an approach to that dream that takes us some of the way there: Bayesianism. The basic idea of Bayesianism is to represent beliefs as probabilities and update them using the formal rules of probability theory to the best of our ability. In particular, Bayes' rule tells us how to update our degree of belief in a hypothesis after observing some evidence. Bayes' rule can inform many central tenets of scientific reasoning. One example is Cromwell's rule, which tells us with the language of probability theory that our empirical beliefs shouldn't be absolute dogmas, but always potentially put into question when new evidence comes in.
ERRATA:
- At 8:37, there should be P(H|e) on the left-hand side.
▀▀▀▀▀▀▀▀▀PATREON, MEMBERSHIP, KO-FI▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀
🟠 Patreon: https://www.patreon.com/rationalanimations
🟢Merch: https://crowdmade.com/collections/rational-animations
🔵 Channel membership: https://www.youtube.com/channel/UCgqt1RE0k0MIr0LoyJRy2lg/join
🟤 Ko-fi, for one-time and recurring donations: https://ko-fi.com/rationalanimations
▀▀▀▀▀▀▀▀▀SOCIAL & DISCORD▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀
Twitter: https://twitter.com/RationalAnimat1
Discord: https://discord.gg/hxWBm6sBNU
▀▀▀▀▀▀▀▀▀LINKS & READINGS▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀
Arbital's guide to Bayes' rule: https://arbital.com/p/bayes_rule/?l=1zq
The bayesian view of scientific virtues: https://arbital.com/p/bayes_science_virtues/
@3blue1brown 's explanations:
1. https://youtu.be/HZGCoVF3YvM
2. https://youtu.be/U_85TaXbeIo
3. https://youtu.be/lG4VkPoG3ko
4. https://youtu.be/ZA4JkHKZM50
5. https://youtu.be/8idr1WZ1A7Q
@measureofdoubt's explanation of bayesian thinking: https://youtu.be/BrK7X_XlGB8
Two beautiful books containing many essays on bayesian thinking and truth-seeking:
1. Map and Territory, by Eliezer Yudkowsky: https://www.amazon.com/Map-Territory-Rationality-AI-Zombies/dp/1939311233/ref=sr_1_2?crid=2EFD6G3N09W7Y&keywords=eliezer&qid=1645017447&sprefix=elieze%2Caps%2C156&sr=8-2
2. How to Actually Change Your Mind, by Eliezer Yudkowsky: https://www.amazon.com/Actually-Change-Your-Mind-Rationality/dp/1939311276/ref=sr_1_5?crid=2EFD6G3N09W7Y&keywords=eliezer&qid=1645017447&sprefix=elieze%2Caps%2C156&sr=8-5
Probability Theory, The Logic of Science, by E.T.Jaynes. This is THE book on bayesian thinking applied to science (more advanced):
https://www.amazon.com/Probability-Theory-Science-T-Jaynes/dp/0521592712/ref=sr_1_1?crid=3263961XQEYON&keywords=jaynes+probability+theory&qid=1645017539&sprefix=jaynes+probability+theory%2Caps%2C135&sr=8-1
▀▀▀▀▀▀▀▀▀OTHER STUFF▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀
Share this video with a friend or on Social Media: https://youtu.be/4hHA-oqpNig
Playlist with all the animated videos: https://www.youtube.com/watch?v=GgyX-MnRAuY&list=PL1Nr7ps7wyYo-0AOYd6lfKp-6Czh4p5On
Bitcoin address: 1FX4iepZfh1yuMNYtvYf2CWL7gha8cakuf
Ethereum address: 0xDa8463494Dd233c3aBe59bc42Abc4D50823A5f3
▀▀▀▀▀▀▀▀▀PATRONS & MEMBERS▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀
BIG thanks to our patrons & members from the simple adder tier and above:
Lexi X
רם רינגל
Ana Tomasovic
Ashten The Platypus
Bryan Egan
Calvin McCarter
Chris Chapin
Craig Ludington
Dan Wahl
David Mc
Florian
Gabriel Ledung
hr101
Jacob Van Buren
Jeroen De Dauw
JHeb
John S
Lars Osborne
Logic
Luke Freeman
Meade Marmalade
Nathan
Nathan Fish
Nicholas Kees Dupuis
Nick Sharp
noggieB
Raphaël Lévy
Roborodger
Sephiths
Superslowmojoe
Tim Duffy
Udo
Austin Cluff
Connor
Dang Griffith
FusionOak
Mark Gongloff
Matthew Brooks
Neel Nanda
rictic
Robin Hanson
Ryouta Takehiko
Scott Alexander
YouAyePee
Bleys Goodson
Dawson
Francisco Lillo
marverati
Matt Parlmer
Michael Zimmermann
no special person
Trevyn Case
William Deng
Gabriel Fair
Thomas Farago
▀▀▀▀▀▀▀CREDITS▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀
Script by:
- Matthew Barnett
- The guy with the weird accent
Animation by:
- :3
Narration by Robert Miles: https://www.youtube.com/c/RobertMilesAI
▀▀▀▀▀▀▀MUSIC▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀
Brandenburg Concerto No4-1 BWV1049 - Classical Whimsical by Kevin MacLeod is licensed under a Creative Commons Attribution 4.0 license. https://creativecommons.org/licenses/by/4.0/
Source: http://incompetech.com/music/royalty-free/index.html?isrc=USUAN1100303
Artist: http://incompetech.com/
▀▀▀▀▀▀▀CHAPTERS▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀
Chapters:
0:00 - Mathematicizing truth-seeking
1:55 - Conditional probability
3:39 - Explanation of Bayes' rule
10:34 - The odds form
14:54 - Cromwell's rule
17:36 - The bayesian view of truth-seeking
https://wn.com/How_To_Systematically_Approach_Truth_Bayes'_Rule
The philosopher Gottfried Wilhelm Leibniz had a dream. He hoped that progress in philosophy and mathematics would eventually yield a method to systematically figure out the truth. This video explores an approach to that dream that takes us some of the way there: Bayesianism. The basic idea of Bayesianism is to represent beliefs as probabilities and update them using the formal rules of probability theory to the best of our ability. In particular, Bayes' rule tells us how to update our degree of belief in a hypothesis after observing some evidence. Bayes' rule can inform many central tenets of scientific reasoning. One example is Cromwell's rule, which tells us with the language of probability theory that our empirical beliefs shouldn't be absolute dogmas, but always potentially put into question when new evidence comes in.
ERRATA:
- At 8:37, there should be P(H|e) on the left-hand side.
▀▀▀▀▀▀▀▀▀PATREON, MEMBERSHIP, KO-FI▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀
🟠 Patreon: https://www.patreon.com/rationalanimations
🟢Merch: https://crowdmade.com/collections/rational-animations
🔵 Channel membership: https://www.youtube.com/channel/UCgqt1RE0k0MIr0LoyJRy2lg/join
🟤 Ko-fi, for one-time and recurring donations: https://ko-fi.com/rationalanimations
▀▀▀▀▀▀▀▀▀SOCIAL & DISCORD▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀
Twitter: https://twitter.com/RationalAnimat1
Discord: https://discord.gg/hxWBm6sBNU
▀▀▀▀▀▀▀▀▀LINKS & READINGS▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀
Arbital's guide to Bayes' rule: https://arbital.com/p/bayes_rule/?l=1zq
The bayesian view of scientific virtues: https://arbital.com/p/bayes_science_virtues/
@3blue1brown 's explanations:
1. https://youtu.be/HZGCoVF3YvM
2. https://youtu.be/U_85TaXbeIo
3. https://youtu.be/lG4VkPoG3ko
4. https://youtu.be/ZA4JkHKZM50
5. https://youtu.be/8idr1WZ1A7Q
@measureofdoubt's explanation of bayesian thinking: https://youtu.be/BrK7X_XlGB8
Two beautiful books containing many essays on bayesian thinking and truth-seeking:
1. Map and Territory, by Eliezer Yudkowsky: https://www.amazon.com/Map-Territory-Rationality-AI-Zombies/dp/1939311233/ref=sr_1_2?crid=2EFD6G3N09W7Y&keywords=eliezer&qid=1645017447&sprefix=elieze%2Caps%2C156&sr=8-2
2. How to Actually Change Your Mind, by Eliezer Yudkowsky: https://www.amazon.com/Actually-Change-Your-Mind-Rationality/dp/1939311276/ref=sr_1_5?crid=2EFD6G3N09W7Y&keywords=eliezer&qid=1645017447&sprefix=elieze%2Caps%2C156&sr=8-5
Probability Theory, The Logic of Science, by E.T.Jaynes. This is THE book on bayesian thinking applied to science (more advanced):
https://www.amazon.com/Probability-Theory-Science-T-Jaynes/dp/0521592712/ref=sr_1_1?crid=3263961XQEYON&keywords=jaynes+probability+theory&qid=1645017539&sprefix=jaynes+probability+theory%2Caps%2C135&sr=8-1
▀▀▀▀▀▀▀▀▀OTHER STUFF▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀
Share this video with a friend or on Social Media: https://youtu.be/4hHA-oqpNig
Playlist with all the animated videos: https://www.youtube.com/watch?v=GgyX-MnRAuY&list=PL1Nr7ps7wyYo-0AOYd6lfKp-6Czh4p5On
Bitcoin address: 1FX4iepZfh1yuMNYtvYf2CWL7gha8cakuf
Ethereum address: 0xDa8463494Dd233c3aBe59bc42Abc4D50823A5f3
▀▀▀▀▀▀▀▀▀PATRONS & MEMBERS▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀
BIG thanks to our patrons & members from the simple adder tier and above:
Lexi X
רם רינגל
Ana Tomasovic
Ashten The Platypus
Bryan Egan
Calvin McCarter
Chris Chapin
Craig Ludington
Dan Wahl
David Mc
Florian
Gabriel Ledung
hr101
Jacob Van Buren
Jeroen De Dauw
JHeb
John S
Lars Osborne
Logic
Luke Freeman
Meade Marmalade
Nathan
Nathan Fish
Nicholas Kees Dupuis
Nick Sharp
noggieB
Raphaël Lévy
Roborodger
Sephiths
Superslowmojoe
Tim Duffy
Udo
Austin Cluff
Connor
Dang Griffith
FusionOak
Mark Gongloff
Matthew Brooks
Neel Nanda
rictic
Robin Hanson
Ryouta Takehiko
Scott Alexander
YouAyePee
Bleys Goodson
Dawson
Francisco Lillo
marverati
Matt Parlmer
Michael Zimmermann
no special person
Trevyn Case
William Deng
Gabriel Fair
Thomas Farago
▀▀▀▀▀▀▀CREDITS▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀
Script by:
- Matthew Barnett
- The guy with the weird accent
Animation by:
- :3
Narration by Robert Miles: https://www.youtube.com/c/RobertMilesAI
▀▀▀▀▀▀▀MUSIC▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀
Brandenburg Concerto No4-1 BWV1049 - Classical Whimsical by Kevin MacLeod is licensed under a Creative Commons Attribution 4.0 license. https://creativecommons.org/licenses/by/4.0/
Source: http://incompetech.com/music/royalty-free/index.html?isrc=USUAN1100303
Artist: http://incompetech.com/
▀▀▀▀▀▀▀CHAPTERS▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀
Chapters:
0:00 - Mathematicizing truth-seeking
1:55 - Conditional probability
3:39 - Explanation of Bayes' rule
10:34 - The odds form
14:54 - Cromwell's rule
17:36 - The bayesian view of truth-seeking
- published: 19 Feb 2022
- views: 115567