this post was submitted on 07 Nov 2025
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Lemmy Shitpost

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[–] LanguageIsCool@lemmy.world 2 points 1 week ago (1 children)

Got it! So you’re saying that the last choice is between 2^33^ or 0 and the last guy has a probably x of pulling the lever and killing everyone (therefore a (1-x) probability of killing nobody).

So, even if it’s guaranteed that nobody along the way pulls the lever (the best case scenario if we want 0 dead), the expected value at the last branch is x · 2^33^ + (1-x) · 0. And the only way this is less than 1 is if x < 1 / 2^33^, which is an absurdly tiny probability.

If we also consider the intermediary probabilities, this already tiny probability threshold of 1 / 2^33^ of killing nobody gets SMALLER because we’re allowing more chances for killing way more than 1 person along the way.

[–] xxd@discuss.tchncs.de 2 points 1 week ago (1 children)

That's exactly right, you got it!

The intermediary probabilities make it even worse, yes! But the overall probability is already ridiculously tiny, so I don't think it changes the conclusion by a lot.

[–] LanguageIsCool@lemmy.world 2 points 6 days ago

To be honest, I’ve kept thinking of this branching stuff for the past few days lol.