Here is a variant of the Monty Hall problem.

Suppose I have ten cards, one of which represents a prize of great value. I shuffle them, spread them out face down, and let you choose any two. You take them, but you don't look at them.

http://www.tvsquad.com/media/2006/01/playing-cards.jpg

I take the remaining eight cards and look at them. One by one, I show you six of them. I want to keep the tension high, so I definitely don't reveal the card of great value. After all, I might not have it.

After revealing those six of the cards, I have two, you have two, and I make you this offer:

* You can choose and keep one, but only one, of my cards, if you surrender '''both''' of yours.

Assuming this isn't a trick, and that everything is as I've described - should you accept? Should you trade '''both''' your cards for only one of mine?

Answer given on MontyHallVariantSpoiler

See also: InterestingQuestionsForInquiringMinds

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MayZeroSix