# 3Blue1Brown-video using high dimension geometry to solve probabilty question

**URL:** <https://boards.straightdope.com/t/3blue1brown-video-using-high-dimension-geometry-to-solve-probabilty-question/849343>\
**Category:** Factual Questions\
**Created:** [March 12, 2020, 4:32pm UTC](https://boards.straightdope.com/t/3blue1brown-video-using-high-dimension-geometry-to-solve-probabilty-question/849343 "2020-03-12T16:32:41Z")\
**Posts on this page:** 6\
**Page:** 1

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**Author:** ![naita](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/naita/32/5862_2.png) [@naita](https://boards.straightdope.com/u/naita)\
**Post date:** [March 12, 2020, 4:32pm UTC](https://boards.straightdope.com/t/3blue1brown-video-using-high-dimension-geometry-to-solve-probabilty-question/849343/1 "2020-03-12T16:32:41Z")

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I spent some time yesterday searching through Grant Sanderson’s videos on youtube looking for a specific one I was sure existed, but that I don’t remember all the specifics of. And I just couldn’t find it.

The closest I got was: [ul]  
[li][Thinking outside the 10-dimensional box](https://www.youtube.com/watch?v=zwAD6dRSVyI) which has a lot of the math I remember being involved, but which isn’t solving a probability question.[/li][li][The hardest problem on the hardest test](https://www.youtube.com/watch?v=OkmNXy7er84) which has the elements of finding a clever alternative way of thinking of a challenge, but doesn’t use higher dimensions.[/li][li]And an honorable mention goes to [This problem seems hard, then it doesn’t, but it really is](https://www.youtube.com/watch?v=M64HUIJFTZM&t=805s) which also has a clever twist, but doesn’t involve dimensions at all.[/li][/ul]

Now it is entirely possible I’m missremembering where I saw the video, or that I’ve conflated the two first videos I link to, but I’m almost certain that out there there is a probability question involving something like a sum of four or more squared variables, that is changed into finding the ratio of the volum of a four (or higher) dimensional sphere to the smallest box it fits into.

Does it ring a bell for anyone?

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**Author:** ![DPRK](https://avatars.discourse-cdn.com/v4/letter/d/4491bb/32.png) [@DPRK](https://boards.straightdope.com/u/DPRK)\
**Post date:** [March 12, 2020, 5:07pm UTC](https://boards.straightdope.com/t/3blue1brown-video-using-high-dimension-geometry-to-solve-probabilty-question/849343/2 "2020-03-12T17:07:17Z")

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Generating random points on a sphere (or in a ball)?

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**Author:** ![Buck\_Godot](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/buck_godot/32/6573_2.png) [@Buck\_Godot](https://boards.straightdope.com/u/Buck_Godot)\
**Post date:** [March 12, 2020, 5:33pm UTC](https://boards.straightdope.com/t/3blue1brown-video-using-high-dimension-geometry-to-solve-probabilty-question/849343/3 "2020-03-12T17:33:07Z")

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Could this be the one?

[![](https://img.youtube.com/vi/6_yU9eJ0NxA/maxresdefault.jpg "Darts in Higher Dimensions (with 3blue1brown) - Numberphile") ](https://www.youtube.com/watch?v=6_yU9eJ0NxA)

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**Author:** ![Andy\_L](https://avatars.discourse-cdn.com/v4/letter/a/c67d28/32.png) [@Andy\_L](https://boards.straightdope.com/u/Andy_L)\
**Post date:** [March 12, 2020, 6:06pm UTC](https://boards.straightdope.com/t/3blue1brown-video-using-high-dimension-geometry-to-solve-probabilty-question/849343/4 "2020-03-12T18:06:43Z")

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[quote=“Buck\_Godot, post:3, topic:849343”]

Could this be the one?

[/QUOTE]

That’s the one I thought of.

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**Author:** ![naita](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/naita/32/5862_2.png) [@naita](https://boards.straightdope.com/u/naita)\
**Post date:** [March 12, 2020, 7:00pm UTC](https://boards.straightdope.com/t/3blue1brown-video-using-high-dimension-geometry-to-solve-probabilty-question/849343/5 "2020-03-12T19:00:49Z")

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Yup! That’s the one! Darn YouTubers and their guest appearances! 😃

Thank you very much!

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**Author:** ![Snarky\_Kong](https://avatars.discourse-cdn.com/v4/letter/s/a183cd/32.png) [@Snarky\_Kong](https://boards.straightdope.com/u/Snarky_Kong)\
**Post date:** [March 13, 2020, 12:46pm UTC](https://boards.straightdope.com/t/3blue1brown-video-using-high-dimension-geometry-to-solve-probabilty-question/849343/6 "2020-03-13T12:46:50Z")

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I wonder if anything interesting happens with other probability distributions of the dart throws.
