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It’s much easier if you reframe the problem:
Someone says they’ve built a machine that can perfectly predict what you will do. Do you believe them?
If so, take one box.
If not, take both boxes.
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But even if you don’t believe them, it’s got a 50% chance on a coin toss.
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Regardless of whether the machine is right, if you don’t believe it can perfectly predict what you’ll do then taking both boxes is always better than just one.
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