Instructions: Develop a scholarly response of 100 to 200 words to the following: You are on a game show where you can win a car that is hidden behind one of three closed doors. Behind each of the other doors is a toy car. You pick Door #3. The host then opens Door #1 to show you that it contains a toy car and asks if you want to keep your original door or pick Door #2. Should you switch to Door #2? Why or why not? Support your stance using the concept of probability.
Added by Emilio S.
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Step 1: Initially, there is a 1/3 probability that the car is behind Door #3, and a 2/3 probability that it is behind one of the other two doors. Show more…
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2. Let’s look at this closely. When the game started, when all the doors were closed, what was the probability (as a fraction) that the car was behind your door, door 2?
Joe E.
Suppose you're on a game show, and you're given the choice of three doors. Behind one door is a car; behind the other doors are goats. You pick a door, say #1, and the host, who knows what's behind the doors, opens another door, say #3, which has a goat. He then says to you, "Do you want to pick door #2?" Discuss the following: Is it to your advantage to switch your original choice of door #1? Clearly explain your reasoning and ask other students why they decided to choose the door that they did.
Shaiju T.
You visit a friend who lives in the suburbs of Chicago. You decide to take a commuter train into the city. Your friend says that a train stops at the station every 30 minutes. Without any more information, you logically apply the uniform probability distribution and determine that you will wait between 0 and 30 minutes for a train with a probability of 1.00. You arrive at the train station and start timing your wait time. A train arrives 35 minutes later. a. Given your friend's information, what was the probability that a train arrives in 35 minutes or more? b. Given your friend's information, what conclusion can you make about your friend's information?
Qudsiya A.
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