Comments on: Sleeping Beauty Wants the Prize Money
https://blog.tanyakhovanova.com/2022/08/sleeping-beauty-wants-the-prize-money/
Mathematics, applications of mathematics to life in general, and my life as a mathematician.Fri, 16 Sep 2022 09:28:39 +0000
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By: Tanya Khovanova's Math Blog » Blog Archive » Sleeping Beauty Wants the Prize Money - New Marathi Live
https://blog.tanyakhovanova.com/2022/08/sleeping-beauty-wants-the-prize-money/#comment-13568
Fri, 16 Sep 2022 09:28:39 +0000https://blog.tanyakhovanova.com/?p=1686#comment-13568[…] Source link […]
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By: Zarunias
https://blog.tanyakhovanova.com/2022/08/sleeping-beauty-wants-the-prize-money/#comment-13544
Tue, 30 Aug 2022 17:56:37 +0000https://blog.tanyakhovanova.com/?p=1686#comment-13544There is a problem in the solution of the fourth scenario: As there are 2 best strategies she can’t know which of them she should stick to. If she wakes up and guesses “tails”, there is a chance that she answers “heads” on the next morning, thus ruining her probabilities. Therefore I think the only real solution would be to always stick with “heads”.
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By: Andrew
https://blog.tanyakhovanova.com/2022/08/sleeping-beauty-wants-the-prize-money/#comment-13543
Tue, 30 Aug 2022 17:27:04 +0000https://blog.tanyakhovanova.com/?p=1686#comment-13543There’s also a scenario in which the organizers only award the prize if she guesses correctly on the last trial (since if she has no memory of winning, who needs to give her a prize?). In that scenario, the best strategy is trivially p=1, and even though the scenario seems cruel at first glance, she will end up with $1,000 with probability 1!
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