The Monty Hall Problem - Math Mark

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Math Mark Again!
The Monty Hall Problem comes from the gameshow "Let's Make a Deal"
There is a prize behind one of three doors. You pick one of the doors. Then one of the other doors is opened, revealing no prize.
Should you switch?
And why does this matter?

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Chapters:
0:00 MATH MARK!
0:10 What is it?
1:17 You SHOULD Switch
2:10 Argument 1 - Intuitive
3:09 Argument 2 - Math
5:23 The Decisions Aren't Independent
6:19 Choice Supportive Bias
8:06 Politics!
8:41 I Saved You!

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