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Luke_A_Somers comments on The Ultimate Sleeping Beauty Problem - Less Wrong Discussion
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Note that if she has no way to test whether her calculation is correct, the notion of probability does not make sense in her situation. In other words, what would she do differently if she estimates the probability to be, say, 1/2 instead of, say, 1/3?
What if after the experiment is over they'll tell her all the coin flip results, and have some bets resolved? Or they could do it each day after she answers. It wouldn't really change the interview, but it would change whether she can test her calculations.