this post was submitted on 05 Aug 2023
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Showerthoughts

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A drunk person wandering outside will always find their way back but a drunk bird probably won't. (programming.dev)
submitted 1 year ago by gogosempai@programming.dev to c/showerthoughts@lemmy.world
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Explanation: Random walk in 2D has a unity probability of making it back to the starting point as the number of steps approach infinity but random walk in 3D only has ~0.34.

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[โ€“] gogosempai@programming.dev 1 points 1 year ago (1 children)

As I said, it's a meme on the mathematical concept of random/drunkard walk. It's not "wrong" given certain assumptions. For 2D, as the number of steps taken by a drunk tend to infinity, the probability of reaching the origin tends to 1:

https://youtu.be/stgYW6M5o4k

Real drunks don't walk in pure 2D plane well of course they don't, they don't get infinite number of steps either. No need to take this so seriously. We all happily ignored the air resistance in physics class back in the day didn't we? :)

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