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.

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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.
Transcribed Image Text: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.
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