Say you’re on the game show looking at 3 boxes: red, white and gold. Behind one box is a key to a brand new house and lot. Behind the others are some minor prizes: a pencil and a banana. You get to choose one box: if it’s the box with the key, then the brand new house and lot is yours! Now, you choose the white box. But before the host shows its content, he opens the gold box and reveals its content - a pencil. The host asks if you will go with the white box or you can switch to the red box. Answer the following questions. What do you think would switching of boxes do: improve your odds, worsen your odds, or leave them the same? Do you believe that you have a better chance of winning if you switch boxes? Why?
Say you’re on the game show looking at 3 boxes: red, white and gold. Behind one box is a key to a brand new house and lot. Behind the others are some minor prizes: a pencil and a banana. You get to choose one box: if it’s the box with the key, then the brand new house and lot is yours! Now, you choose the white box. But before the host shows its content, he opens the gold box and reveals its content - a pencil. The host asks if you will go with the white box or you can switch to the red box. Answer the following questions. What do you think would switching of boxes do: improve your odds, worsen your odds, or leave them the same? Do you believe that you have a better chance of winning if you switch boxes? Why?
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.1: Counting
Problem 92E
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Say you’re on the game show looking at 3 boxes: red, white and gold. Behind one box is a key to a brand new house and lot. Behind the others are some minor prizes: a pencil and a banana. You get to choose one box: if it’s the box with the key, then the brand new house and lot is yours!
Now, you choose the white box. But before the host shows its content, he opens the gold box and reveals its content - a pencil. The host asks if you will go with the white box or you can switch to the red box.
Answer the following questions.
-
What do you think would switching of boxes do: improve your odds, worsen your odds, or leave them the same?
- Do you believe that you have a better chance of winning if you switch boxes? Why?
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