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

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 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 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 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?

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

Could this be the one?

[quote=“Buck_Godot, post:3, topic:849343”]

Could this be the one?

[/QUOTE]

That’s the one I thought of.

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

Thank you very much!

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