For example, it didn’t get “In a room I have only 3 sisters. Anna is reading a book. Alice is playing a match of chess. What the third sister, Amanda, is, doing ?”

I didn’t get this one either. When visualizing the problem, Alice was playing chess *online*, since in my experience this is how almost all games of chess are played. I tried to look for some sort of wordplay for the alliterative sister names or the strange grammar errors at the end of the question, but didn’t get anywhere.

Yes, I have filled in all the blanks, which is why I wrote “fully resolves the probability space”. I didn’t bother to list every combination of conditional probabilities in my comment, because they’re all trivially obvious. P(awake on Monday) = 1, P(awake on Tuesday) =

^{1}⁄_{2}, which is both obvious and directly related to the similarly named subjective credences of which day Beauty thinks it isat a time of awakening.By the way, I’m not saying that credences are not probabilities. They obey probability space axioms, at least in rational principle. I’m saying that there are

two differentprobability spaces here, that it is necessary to distinguish them, and the problem makes statements about one (calling them probabilities) and asks about Beauty’s beliefs (credences) so I just carried that terminology and related symbols through. Call them P_O and P_L for objective and local spaces, if you prefer.