For anyone who hasn’t heard of this paradox, try to figure this one out. I’m sure you’ll be very satisfied if you manage to for yourself:

There are 3 identical boxes. Inside 1 of those 3 is a prize. You are asked to pick 1, after which 1 of the remaining empty boxes is taken away. Being left with 2 (1 with the prize, 1 without), you are then asked if you would like to change your mind from the box you chose originally to the other box that is left. You are then shown whether or not the box you have finally decided on has the prize and are given it if it does.

The question is:

Does it matter whether or not you change your mind when asked if you would like to and why?