Case 302
The Empty Safe
A small office safe was found empty in the morning.
Rule: exactly one suspect is guilty. The guilty suspect lies. Every innocent suspect tells the truth.
Peyton
“Riley is innocent.”
Drew
“Peyton and Riley are both innocent.”
Hayden
“Riley is guilty.”
Riley
“Either Hayden or Emery is guilty.”
Emery
“Either Drew or Hayden is guilty.”
Who is guilty?
Solution: Hayden
If Hayden is guilty, Hayden's statement is false and every other statement is true. Testing the other suspects creates at least one contradiction.