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The Prisoner's Trolley Problemma
(midwest.social)
Memes for the masses, chuckles for the chosen.
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There's the added factor here of putting your loved ones in the position of either...
A: Killing one person (let's presume it's someone they also care about)...
B: Killing three people, or...
C: All dying horribly
In no scenario do your loved ones get to control the outcome, and it's presumably a horrible experience for them regardless. I'd say that the math favors not pulling the lever. It has a 100% chance of your loved ones only being forced to passively kill one person, as opposed to whatever the odds are in scenarios B or C of even greater numbers of fatalities being on their consciences.