Statistics, Intuition and Monty Hall

One of the things that makes data science hard is that it has a foundation in statistics, and one of the things that makes statistics hard is that it can run counter-intuitively. A great illustration of that is the Monty Hall Problem. Month Hall was a US game show host who presented a show called “Let’s Make a Deal” and the Monty Hall Problem is modelled on that show; it goes something like this

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