Puzzles and Riddles 2

An all-new logical puzzle for you:

The Three Boxes

In a quiz show, you are shown three identical, closed boxes. One of these boxes contains a prize. You are asked to pick a box. You do so (at random).

The quizmaster now removes one of the two boxes you didn't pick, and shows it to be empty.

He now asks you if you'd like to change your mind about your choice of box. Do you switch to the one remaining box, stick with your original choice, or doesn’t it matter?

Mail me your solution. Next week, I'll reveal the answer.