Question

long time ago, in a medieval kingdom there lived a beautiful Princess named Buttercup. Her father the King arranged for the princess to marry Prince Humperdinck from a nearby kingdom. Sure, Prince Humperdinck would someday be king of his kingdom, but he was not very handsome, witty, romantic, or charming. About a month before the wedding date, the princess met and fell in love with Wesley, a charming, handsome, romantic, sensitive, and witty peasant. Wesley loved the princess dearly and wanted to marry her. The Princess said that no one must know of their love for each other for if her father the King were to find out, he would be furious and have Wesley killed. Unfortunately, the King found out and he had Wesley brought to the dungeon. The King declared that Wesley be thrown into a room with a tiger and expected Wesley to be eaten alive. The Princess pleaded with her father to spare Wesley. The King made a compromise. Wesley would have to open one of two doors. Behind one door would be the Princess and if Wesley opened this door, he could marry her. Behind the other door waited one very hungry tiger, and opening this door would mean certain death. The King put the signs shown below on the doors of rooms A and B, telling the young peasant that one of the signs is true and one of the signs is false

Answer 1

Wesley can choose either door because, in both cases, one door leads to marriage (the Princess) and the other leads to death (the tiger).

If Door A leads to marriage, then the sign on Door A is true, and the sign on Door B must be false.

If Door B leads to death, then the sign on Door B is true, and the sign on Door A must be false.

Since the King declared that one sign is true and one sign is false, we can conclude that one of the doors leads to marriage, and the other leads to death.

If Wesley opens Door A and it leads to marriage, then the King's statement is true. If Wesley opens Door B and it leads to death, then the King's statement is also true.

Either way, Wesley can choose either door because, in both cases, one door leads to marriage (the Princess) and the other leads to death (the tiger). The outcome is the same regardless of which door he chooses.