An explorer is captured by a group of cannibals. There are two types of cannibals-those who always tell the truth and those who always lie. The cannibals will barbecue the explorer unless he can determine whether a particular cannibal always lies or always tells the truth. He is allowed to ask the cannibal exactly one question
2. Explain why the question "Are you a liar?" does not work
o Both types of cannibals will answer with "no
o The incorrect conclusion that the cannibal is one who always tells the truth will be made if the answer is "yes"
o Both types of cannibals will answer with "yes
o The incorrect conclusion that the cannibal is one who always tells the truth will be made if the answer is "no"
3. Which of the following questions does work in determining whether the cannibal she is speaking to is a truth teller or a liar? Select all the questions that work.
o Is the color of the sky blue?
o If I were to ask you if you always told the truth, would you say that you did?
o If I say that you are a liar, would I be correct?
o Do you always tell the truth?
