jkaufman comments on Is our continued existence evidence that Mutually Assured Destruction worked? - Less Wrong Discussion
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An elaboration on the coin demon example. Let's say flipping "tails" instantly kills half the people. There are three things that can happen when the coin is flipped:
Now imagine you're looking back at a coin that was flipped earlier: 1/3 of the time you'll see tails and 2/3 you'll see heads.
If a tree falls on sleeping beauty might be useful.