Problem #2 The Five Hats Problem Three men are condemned to die, one of whom is blind. The king decides he will offer them an opportunity to be set free. The three men are arranged in a circle facing one another. The king produces 5 hats: 2 black and 3 white. The king places a hat on the head of each person and then destroys the two remaining hats. The men have no idea which hats have been destroyed. The king instructs them, "The first one of you whocan tell me the color of his hat will be set free." A period of time passes in silence and then finally the blind man tells the king the color of his hat and is set free. What color hat was the blind man wearing and how did he know? This does not have a "trick" answer-your answer should be very logical and well thought out. Be able to explain your answer from the viewpoint of each of the three prisoners. Hint: Each sighted man can see the blind man's hat as well as that of . 8 . the other sighted man. What does the pause in time infer? What are the possible states