Here is another math "problem"*:
You are in a game show. The purpose of the game show is to find the big price. You have 3 boxes. The big price (keys to a brand new car) is in one of those three boxes, on the other two boxes there is coal. You have no way of knowing in which of the boxes the car keys are, but the gameshow host does. So he tells you to pick a box, and you choose box 1**. Before the host opens the box, he opens another box and shows you a piece of coal. Now he asks you: " Are you sure you want that box or do you want to switch?"
What do you do? And why?
*This "problem" is pretty well-known so you can easily google it. Please try not to.
** Doesn't really have to be box number 1, it can be any of the boxes, but you have to choose at least one.