Spaces:
Running
on
Zero
1.2 No 37
😃: 1. Suppose there are signs on the doors to two rooms. The
sign on the first door reads “In this room there is a lady,
and in the other one there is a tiger”; and the sign on the
second door reads “In one of these rooms, there is a lady,
and in one of them there is a tiger.” Suppose that you
know that one of these signs is true and the other is false.
Behind which door is the lady?
🤖: This is a classic puzzle known as the "Two Envelope Problem." Here's how it works:
You have two envelopes, each with a message inside. One envelope says "The lady is behind Door A," while the other envelope says "The tiger is behind Door B." You don't know which envelope contains which message, but you do know that one of the messages is true and the other is false.
Your goal is to figure out which door leads to the lady. Here's how you can solve the problem:
Door A has a 50% chance of leading to the lady (since both envelopes say "the lady is behind Door A").
Door B also has a 50% chance of leading to the lady (since one envelope says "the lady is behind Door B").
So, if you randomly choose one of the doors, the probability that you will open the door to find the lady is 50%. If you want to increase your chances of finding the lady, you should choose the door with the lower probability (in this case, Door A).
Therefore, the lady is behind Door A.