GPT-4: The Sleeping Beauty problem, a thought experiment in probability, has divided experts in philosophy and mathematics since 2000. The problem involves a coin toss and a series of awakenings, with Sleeping Beauty asked to determine the probability of the coin showing heads. While some argue the probability is ½, others believe it to be ⅓. The puzzle has applications in decision-making and probability, illustrating how beliefs can lead to multiple rational conclusions and highlighting the difference between experimental possibilities and the experiences of someone within an experiment.
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