In a 1970's game show, a contestant was given a choice of three doors of which one contained a prize. The other two doors contained gag gifts like a chicken or a donkey. After the contestant chose an initial door, the host of the show then revealed an empty door among the two un-chosen doors, and asks the contestant if he or she would like to switch to the other un-chosen door. The question is should the contestant switch. Does the probability of winning increase by switching to the remaining door?

This is called 'the Monty Hall problem'. Research that term and you will have your answer.

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The Monty Hall Problem is in indeed a classic and is always good for some lively discussion. Ernie - please post back with what you think the answer is and why, and no matter which answer you give it will surely generate responses from people who will tell you that you're wrong.