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Suppose you are a contestant on the game show Let’s Make a Deal. The emcee, Monty Hall, shows you three doors and explains there is a pink pig behind two of the doors and a brand new luxurious car behind the third door. You select a door. Monty Hall (who knows what is behind each door) opens one of the other doors that has a pink pig behind it. He then asks you if you would like to keep your door or switch to the other door. Is one strategy better than the other? To see how the game is played, go to this link: Let’s Make a Deal (http://www.nytimes.com/2008/04/08/science/08monty.html?_r=1&) If you want to estimate the probability of winning using each of the strategies, you would need to play the game a large number of times (at least 100 times). Question #2: In this game there are 3 cards. One card is green on both sides. One is red on both sides. The third card is green on one side and red on the other side. I shuffle the cards and place one card face down in front of you. The side that is showing is red. What is the probability that the other side is red? Before you answer this question, try the game by creating your own three cards and practicing.
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