Why do only 0.00001% understand the Monty hall paradox
Intro
Have you ever noticed how some things that seem simple are actually quite perplexing? Take, for example, the common warning to never pour water on a grease fire. It’s a fact that most of us have learned through trial and error, but it’s not exactly the most intuitive response. In the heat of the moment, when panic sets in, our instincts tell us to douse the flames with water. But little do we know, that’s exactly what we shouldn’t do!
Science is riddled with counterintuitive concepts that make us question our understanding of the world. Consider Einstein’s twin paradox, where one twin travels through space at high speed, only to return and find that the twin who stayed on Earth has aged more. How can this be? It defies logic, yet with a touch of mathematical genius, it turns out to be true. The laws of the universe sometimes play tricks on our minds, challenging our preconceived notions.
And let’s not forget the unpredictable dynamics of human relationships. Have you ever tried doing something cute for your partner while they are fuming with anger? Surprisingly, rather than melting their icy demeanor, it often exacerbates their anger.
In this video, I invite you on a journey through the perplexing Monty Hall paradox.
Michael Jordan Can’t Sleep
Picture yourself in a fancy-schmancy five-star hotel. You’re all cozied up in bed, ready for some sweet dreams. Just as you start to drift off, you hear the sound of thundering footsteps coming from the hallway. You peer through the peephole, only to see a colossal shadow making its way toward your room. Who could it be, you wonder?
No wonder this question kept MJ awake at night.
This problem is a brain teaser, in the form of a probability puzzle, loosely based on the American television game show Let’s Make a Deal and named after its original host, Monty Hall. Why don’t you take a second to answer the question? What would you do? Would you switch the door?
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Intuitive Explanation
Most people come to the conclusion that switching does not matter because there are two unopened doors and one car and that it is a 50/50 choice. This would be true if the host opens a door randomly, but that is not the case, because the host’s choice in turn depends on the choice we make initially.
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A More Formal Explanation
The best way to truly believe that the solution to the Monty Hall problem is true is to try the simulation for yourself. But if you want to understand why it works mathematically, let’s break it down.
Imagine there are 3 doors. Since the cards are three and you can only pick one, your original choice has a 1/3 chance of winning, while the other two doors combined have a 2/3 chance because the total probability of the system must add up to one.
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A valuable lesson
This paradox holds valuable lessons for us on two fronts. Firstly, it prompts us to reflect upon the notion that knowledge empowers us to make better decisions. This principle extends beyond basic applications and can also be observed when we calculate probabilities. The more we understand about a given topic, the more accurately we can predict outcomes and make informed choices.
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Credits: Ron Miller, Mark A. Garlick / MarkGarlick.com ,Elon Musk/SpaceX/ Flickr
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Video Chapters:
00:00 Introduction
01:41 Michael Jordan Can’t Sleep
04:00 Intuitive Explanation
05:34 A More Formal Explanation
07:25 A valuable lesson
#insanecuriosity #mindbendingparadox #montyhallexplained
| この動画について | |
|---|---|
| URL | https://www.youtube.com/watch?v=OoMB_KTT2vI |
| 動画ID | OoMB_KTT2vI |
| 投稿者 | Insane Curiosity |
| 再生時間 | 09:35 |


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