Imagine you are on a TV game show, and you managed to rule out all other contestants and now face your final challenge.
You are presented with 3 treasure chests, and you are told that one of the chests contains the big prize of a sports car. The other 2 chests are empty.
You are given 1 choice. If you pick the chest with the keys to the sports car, you get to drive it home the very same day. If you pick one of the empty chests, you go home with nothing.
After some consideration, you picked one of the chests. Before opening the chest to check if you have won the big prize, the game show hosts suddenly presented you with another challenge. Out of the 2 chests that you did no pick, the host opened one that is empty.
So now there are 2 chests left. The one you have picked, and the on that you did not pick and the host did not open.
The host then tells you that you now have a choice wether you want to change your pick to the other unopened chest.
Would you change? And why?