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?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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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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