A king tried his political prisoners based on Frank Stockton's story "The Lady or the Dragon'. The prisoner must choose one of two doors. Behind each door is a room containing either a lady or a dragon. It is possible that both rooms contain ladies or that both rooms contain dragons, or that one room contains a lady and the other room contains a dragon. If the prisoner chooses the room with the lady, he goes free. If he chooses the room with the dragon, he is eaten. There is a sign on each door. The king tells the prisoner that the signs on the door are either both true or both false. The sign on door #1 says "At least one of these rooms contains a lady". The sign on door #2 says "A dragon is in the other room." Which room should the prisoner pick?

Question

Mathematics

Elisa

16 April, 15:44

A king tried his political prisoners based on Frank Stockton's story "The Lady or the Dragon'. The prisoner must choose one of two doors. Behind each door is a room containing either a lady or a dragon. It is possible that both rooms contain ladies or that both rooms contain dragons, or that one room contains a lady and the other room contains a dragon. If the prisoner chooses the room with the lady, he goes free. If he chooses the room with the dragon, he is eaten. There is a sign on each door. The king tells the prisoner that the signs on the door are either both true or both false. The sign on door #1 says "At least one of these rooms contains a lady". The sign on door #2 says "A dragon is in the other room." Which room should the prisoner pick?

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Answers (1)

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Judith · Answer 1

If both statements are true

Room 1 = Tiger and Room 2 = Lady

If both statements are false

According to sign on room 1

Room 1 = Tiger and Room 2 = Tiger

According to sign on room 2

Room 1 = Lady and Room 2 = Unknown

So for the false case there is a disagreement between the signs. Therefore both signs must be true.

He should chose room 2.