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Ray Karol 2/26/2013. Let’s Make a Deal Monte Hall Problem Suppose you’re on a game show, and you’re given a choice of three doors: Behind one door is.

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Presentation on theme: "Ray Karol 2/26/2013. Let’s Make a Deal Monte Hall Problem Suppose you’re on a game show, and you’re given a choice of three doors: Behind one door is."— Presentation transcript:

1 Ray Karol 2/26/2013

2 Let’s Make a Deal

3 Monte Hall Problem Suppose you’re on a game show, and you’re given a choice of three doors: Behind one door is a car; behind the others, goats. You pick a door, say number 1, and the host, who knows what’s behind the doors, opens another door, say number 3, which has a goat. He says to you, ‘Do you want to switch doors?’ Is it to your advantage to switch your choice of doors?”

4 What is the probability of winning the car if you stay with your first choice? What if you decide to switch?

5 Methods to Solve Common sense Monte Carlo Bayes Theorem Conditional Probability etc. There is only one correct answer and it is counterintuitive


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