this post was submitted on 29 Jul 2023
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You would need a crazy low probability of a lunatic or a mass murderer being down the line to justify not to kill one person
Edit: Sum(2^n (1-p)^(n-1) p) ~ Sum(2^n p) for p small. So you'd need a p= (2×2^32 -2) ~ 1/(8 billion) chance of catching a psycho for expected values to be equal. I.e. there is only a single person tops who would decide to kill all on earth.
Well what about the fact that after 34 people the entire population is tied to the tracks. What are the chances that one person out of 35 wants to destroy humanity?
Also thing the entire human population to the tracks is going to cause some major logistical problems, how are you going to feed them all?
Oh come on. A trolley is not going to have the momentum to kill that many people nor would the machinery make it through. The gears and whatnot would be totally gummed up after like 20 or so people.
I just calculated the sum from n=0 to 32 (because 2^33>current global population). And that calculation implies that the chance of catching someone willing to kill all of humanity would have to be lower than 1/8 billion for the expected value of doubling it to be larger than just killing one person.
Yeah I think I was in a stupor when I commented. I don't think I even tried to understand your comment. My apologies. But now that I am trying, I am struggling to understand the notation.