You are shown three boxes, and told that one of them contains a prize. You are then asked to pick one box, and if that box is the one with the prize, you will win it. After picking a box, you are shown that one of the other two boxes is empty, and offered a chance to change your selection.

Should you do this? Would changing your choice to the other remaining box affect your odds of winning? Why or why not?

Actually 50% is wrong. You need to remember that when you made your first choice, you only had a 1 in 3 chance of guessing the prize, so there is a 2 in 3 chance you were wrong in the beginning.

Posted by John on 2002-05-01 06:43:30