An experiment is conducted where Sleeping Beauty will be put to sleep and woken up as a result of a coin toss. If heads is flipped she will be woken up on Monday and the experiment will be over. If tails is flipped she will be woken up on Monday, put back to sleep and then woken up again on Tuesday. Each time she is awoken she has no idea if it is Monday or Tuesday but she is asked one question. What is the probability that the reason you are awake is the result of heads being flipped? How should she respond?
Saturday, November 22, 2008
Sleeping Beauty
An experiment is conducted where Sleeping Beauty will be put to sleep and woken up as a result of a coin toss. If heads is flipped she will be woken up on Monday and the experiment will be over. If tails is flipped she will be woken up on Monday, put back to sleep and then woken up again on Tuesday. Each time she is awoken she has no idea if it is Monday or Tuesday but she is asked one question. What is the probability that the reason you are awake is the result of heads being flipped? How should she respond?
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