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Question 7 Consider a version of the Monty Hall problem where there are 4 doors. There are goats behind 2 of the doors and valuable prizes behind the other two doors. The game is played as follows: You first choose a door. Before your chosen door is opened Monty Hall opens one of the other 3 doors and reveals a goat behind that door. He now gives you the opportunity to change your mind and select another door. Your chosen door is now opened and your prize is revealed. If you behave optimally, what is the probability that you will win one of the valuable prizes? Submission Guideline: Give your answer to 2 decimal places. For example, if you compute the probability to be 0.4532, then you should submit an answer of 0.45.

          Question 7
Consider a version of the Monty Hall problem where there are 4 doors. There are goats behind 2 of the doors and valuable prizes behind the other two doors. The game is played as follows:
You first choose a door.
Before your chosen door is opened Monty Hall opens one of the other 3 doors and reveals a goat behind that door.
He now gives you the opportunity to change your mind and select another door.
Your chosen door is now opened and your prize is revealed.
If you behave optimally, what is the probability that you will win one of the valuable prizes?
Submission Guideline: Give your answer to 2 decimal places. For example, if you compute the probability to be 0.4532, then you should submit an answer of 0.45.

Added by Erin L.

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