6th of March 2006
Let's Make A Deal
I found this earlier. In a nutshell:
You are on a gameshow called "Let's make a deal". You are presented with 3 doors. Behind one door is a million pounds, behind the other two there is nothing. You are allowed one choice of door and one only. You make a choice but, before opening your chosen door the gameshow host says "I'll open one of the other doors for you which I know is empty". And he does. You are now given two choices:
1. Stick with your initial choice.
2. Change your mind and select the other closed door.
The question is this: Is there a good reason to open the other door instead of your first choice?
I'm pleased to announce that I worked this out (yes, without looking at the answer before you ask). I don't want to make it too easy for you - just think about it for a moment and, when you want the answer, click here.