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
This is Not My Hat small fish has stolen a hat from a big sleeping fish, and boasts about how easy it will be for him to get away with the theft, because the big fish will not wake up any time soon. Except it does. The story echoes the plot of Klassen's earlier book, "I Want My Hat Back", in which a bear is looking for his missing hat, and finally finds it on the head of the rabbit who has stolen it. "This is Not My Hat" reverses the viewpoint of the story, but with similar results. This is Not My Hat This