id author title date pages extension mime words sentences flesch summary cache txt work_44agm4md2jbsjl6vm65er2xgqq Jeffrey S. Rosenthal A Mathematical Analysis of the Sleeping Beauty Problem 2009 13 .pdf application/pdf 4840 368 69 We are being asked to compute the conditional probability that the nickel showed heads, If instead the nickel showed heads (so Beauty will only be interviewed once), then the dime Now, if Beauty were told just before her interview that the dime shows heads (while still the dime showed heads, then the correct answer to the problem would be 1/3. unambiguously that the answer to the original Sleeping Beauty problem is also 1/3. the subproblem, the correct answer for the probability that the nickel showed heads would the probability 1/3, this suggests that Sleeping Beauty in the original problem should also the nickel showed heads or tails, she should at that point assign equal probabilities to the • Hence, by (ii), Beauty will assign probability 1/3 to the nickel being heads even if the • Hence, by (ii), Beauty will assign probability 1/3 to the nickel being heads even if the ./cache/work_44agm4md2jbsjl6vm65er2xgqq.pdf ./txt/work_44agm4md2jbsjl6vm65er2xgqq.txt