Adding random variables, with connections to the central limit theorem.
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0:00 - Intro quiz
2:24 - Discrete case, diagonal slices
6:49 - Discrete case, flip-and-slide
8:41 - The discrete formula
10:58 - Continuous case, flip-and-slide
15:53 - Example with uniform distributions
18:42 - Central limit theorem
20:50 - Continuous case, diagonal slices
25:26 - Returning to the intro quiz

Thanks to these viewers for their contributions to translations
Hebrew: @DavidBar-On, David Bar-On, Omer Tuchfeld
Spanish: Derek Lacayo

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These animations are largely made using a custom python library, manim. See the FAQ comments here:
https://www.3blue1brown.com/faq#manim
https://github.com/3b1b/manim
https://github.com/ManimCommunity/manim/

You can find code for specific videos and projects here:
https://github.com/3b1b/videos/

Music by Vincent Rubinetti.
https://www.vincentrubinetti.com/

Download the music on Bandcamp:
https://vincerubinetti.bandcamp.com/a...

Stream the music on Spotify:
https://open.spotify.com/album/1dVyjw...

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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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