Multiple choice general knowledge math & puzzles

You are a participant in a quiz. The quizmaster shows you three closed doors. He tells you that behind one of these doors there is a prize, and behind the other two doors there's nothing. You select one of the doors, but before you open it the quizmaster deliberately picks out a remaining empty door and shows that there is nothing behind it. The quizmaster offers you a chance to switch doors with the remaining closed door. The Question: Should you stick to your choice?

  1. Yes

  2. Does not matter

  3. No

  4. Can't tell

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

This is the classic Monty Hall problem. Sticking to your initial choice gives you a 1/3 chance of winning, whereas switching to the other closed door doubles your chances of winning to 2/3. Therefore, you should not stick to your choice, making 'No' the correct answer.