2. Explain the Monte Hall Paradox with a Contingency Table. The Monte Hall Paradox comes from the Morning Game Show "Let's Make a Deal" which used to be shown right before the "Price is Right" 5 days a week. Monte Hall was the name of the Host. For the final deal there are 3 doors labeled, Door #1, Door #2, and Door #3 (yes that is what they were called). One of the three doors was a Grand Prize and behind the other two doors was nothing. The Contestant would pick one of the doors, for the purpose of this problem (let's say they picked Door #1). Then Monte Hall would open one of the losing doors, (let's say Door #2 just to keep it simple). Now the Contestant has a choice, they can stay with their choice (in our Example Door #1) or change to the remaining door (in this case Door #3). The Paradox is that the remaining door (in our example Door # 3) actually is the door with the Grand Prize 2/3 of the time. Explain why it's not 1/2.
2. Explain the Monte Hall Paradox with a Contingency Table. The Monte Hall Paradox comes from the Morning Game Show "Let's Make a Deal" which used to be shown right before the "Price is Right" 5 days a week. Monte Hall was the name of the Host. For the final deal there are 3 doors labeled, Door #1, Door #2, and Door #3 (yes that is what they were called). One of the three doors was a Grand Prize and behind the other two doors was nothing. The Contestant would pick one of the doors, for the purpose of this problem (let's say they picked Door #1). Then Monte Hall would open one of the losing doors, (let's say Door #2 just to keep it simple). Now the Contestant has a choice, they can stay with their choice (in our Example Door #1) or change to the remaining door (in this case Door #3). The Paradox is that the remaining door (in our example Door # 3) actually is the door with the Grand Prize 2/3 of the time. Explain why it's not 1/2.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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So as we know that the monte hall paradox has three doors. One of which has a grand prize. The contestant is supposed to choose a door. Then the host of the show will always open one door from the remaining two doors, which does not have the prize. Then the contestants are free to switch their selection to the door remaining or stick to their first choice.
Here we have to explain the paradox with a contingency table.
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