Re: Interesting Mathematical Paradox?
this is just an exercise in conditional probability which often seems counterintuitive. The standard way to present this type of problem is:
1. You are a contestant on a game show.
2. There are three closed doors
3. behind 2 doors is a goat and behind one is a car.
4. After you choose one door (but before opening it) the gameshow host suddenly opens one of the other two doors and reveals a goat.
5. Is it in your best interest to switch to the other remaining (closed) door given this new information?
It turns out that the answer is not so simple and requires a fair amount of conditional probability. However, it is not a true paradox.
|