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![[Post New]](/templates/default/images/icon_minipost_new.gif) 25 Feb 2008 21:15:49 IST
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Suppose that Monty Hall (on TV's Let's Make a Deal) asks you to choose between three doors: #1, #2, and #3. Behind a random door is a new Rolls Royce. Behind each of the other two doors is a goat. Let's assume that you would prefer a Rolls Royce to a goat. You choose a door. Now, Monty, who knows which door hides the Rolls Royce, shows you a goat behind one of the two doors that you did not choose. He then gives you the opportunity to change your choice. Assume that Monty always does this, regardless of your guess. Should you change your choice?
Hint:The Monty Hall problem is a celebrated problem not only in mathematics but also in psychology since almost 90% of general population and almost 60% of the academic (math/statistics guys) get it wrong and then refuse to accept the correct solution.
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