Hat puzzle 5 prisoners answer correctly and 5 do not. Note that the prisoners cannot find a strategy guaranteeing the release of more than 5 prisoners. Indeed, for a single prisoner, there are as many distributions of hat colors where he says the correct answer than there are where he does not. Hence, there are as many distributions of hat colors where 6 or more prisoners say the correct answer than there are where 4 or fewer do so. In this variant, a countably infinite number of prisoners, each with an unknown and randomly assigned red or blue hat line up single
How Does a Moment Last Forever marks the first collaboration between Menken and Rice in over two decades; the last time they worked together had been in the "Beauty and the Beast" musical. Menken believes that the songs he and Rice had written for the musical would not have translated well to the screen due to the structural differences between the two formats. One of at least nine significant changes made to the film specifically for the remake, "How Does a Moment Last Forever" was conceived to explain Belle's backstory. Her quest to find out her mother's fate serves, in the plot, as a foundation for