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A train is approaching the place where the tracks diverge, and the switch is in a probabilistic position, where with 50% chance it sends the train to the left, killing 5 people, and with 50% chance to the right, killing 1 person. For example, the switch oscillates between the positions. Would you hold the switch in the "kill 1" position?
2) Make the default option feel dirty.
You have spent the entire day reading LessWrong and Astral Codex Ten, and now you feel really tired. Suddenly you get a danger notification: A train is approaching the place where the tracks diverge; by default it will go to the left and kill 5 people, but if you pressed a button on remote control, it would go to the right and only kill 1 person.
Alas, the remote control is currently on a table, so you would have to stand up from your really comfortable chair and make three steps towards the table, so that you could push the button. You would definitely prefer to keep sitting and relaxing, it feels so good. And hey, you don't owe those 5 strangers anything; what have they ever done for you? Would you keep sitting in your comfortable chair and let 5 strangers die, or stand up and walk to the table to push the button, thereby saving 5, but killing a different 1?