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.
Read more at Scientific American…