Knights and Knaves: Peggy, Grace, Judy, Frank, and Eve
Verified— unique solution
knights knaves
On an island, every inhabitant is either a knight, who always tells the truth, or a knave, who always lies. You meet Peggy, Grace, Judy, Frank, and Eve.
Peggy says: "Judy is a knave."
Grace says: "Frank is a knave or Judy is a knight."
Judy says: "Grace is a knight."
Frank says: "Judy is a knave and Peggy is a knave."
Eve says: "Grace is a knight or Frank is a knight."
Who is a knight and who is a knave?
Hints
Hint 1
Hint 2
Hint 3
Solution
Commit an attempt to unseal the proof. Write your answer — right or wrong, thinking it through is the point.
Once you've worked out who is who: how many of the 5 inhabitants are knaves? Answer with the number.
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