video thumbnail 3:47
The quick proof of Bayes' theorem

2019-12-22

[public] 361K views, 14.9K likes, 94.0 dislikes audio only

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Including some added words on independence.

Main video: /youtube/video/HZGCoVF3YvM

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Special thanks to these supporters: http://3b1b.co/bayes-thanks

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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.

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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

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Bayes theorem, the geometry of changing beliefs by 3Blue1Brown
/youtube/video/HZGCoVF3YvM
Support on patreon patreon.com
https://www.patreon.com/3blue1brown
3Blue1Brown 3Blue1Brown, by Grant Sanderson, is some combination of math and entertainment, depending on your disposition. The goal is for explanations to be driven by animations and for difficult problems to be made simple with changes in perspective. For more information, other projects, FAQs, and inquiries see the website: https://www.3blue1brown.com
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Bayes theorem, the geometry of changing beliefs 3,112,572 views
/youtube/video/HZGCoVF3YvM