This is a tricky problem. If you want a challenge give this ago. If on the other hand the thought of being a little confusedscares you then feel free to sit this problem out (it doesn't counttowards participation points). It's a lot harder than anything thatwill be on your exams and you will not be tested on it. I just wantto show you how probability comes up outside of the classroom andI'll explain what the lesson was at the end.
This is a classic question loosely based on an old American GameShow. I'll provide the reference once we've finished the discussionand please don't \"google\" the answer as that will spoil it! As withall these discussions getting the correct answer isn't the point...it's to encourage you to think about the concepts and discuss.
\"You are on a game show and you are shown 3 doors. Behind onedoor is a car and behind the other 2 are goats but you do not knowwhich is which. You are asked to pick a door. Next the game showhost, who know's what's behind the doors, opens one of the twodoors that you did not choose revealing a goat. He then asks \"Doyou want to pick the remaining door or stick with your choice?\" Isit to your advantage to switch?
