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An archive of data science, data analytics, data engineering, machine learning, and artificial intelligence writing from the former Towards Data Science Medium publication.

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STATISTICS

Water Cooler Small Talk, Ep 3: Why Does the Monty Hall Problem Still Bother Us? ๐Ÿ๐Ÿš—

A look at the counterintuitive mathematics of game show puzzles

9 min readNov 20, 2024

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Image created by author using GPT-4 / All other images created by the author unless specified otherwise

Water cooler small talk is a special kind of small talk, typically observed in office spaces around a water cooler. There, employees frequently share all kinds of corporate gossip, myths, and legends, inaccurate scientific opinions, indiscreet personal anecdotes, or outright lies. Anything goes. So, in my Water Cooler Small Talk posts, I discuss strange and usually scientifically invalid opinions I have overheard in the office that have literally left me speechless.

Hereโ€™s the water cooler opinion of todayโ€™s post:

โ€˜-In a game show, you are given a choice among three doors: one door hides a car and the other two doors hide goats. You chose one of the doors, then the host reveals a goat behind one of the other doors, and gives you the option to swap the door you originally chose for the other remaining one. Should you swap?

-No, I will keep the door I initially chose. The chances are 50โ€“50 either way.โ€™

๐Ÿš—๐Ÿšช๐Ÿ๐Ÿคช

If you didnโ€™t recognize it already this is the famous Monty Hall problem. Spoiler alert, the chances are not 50โ€“50; thereโ€ฆ

TDS Archive
TDS Archive

Published in TDS Archive

An archive of data science, data analytics, data engineering, machine learning, and artificial intelligence writing from the former Towards Data Science Medium publication.

Maria Mouschoutzi, PhD
Maria Mouschoutzi, PhD

Written by Maria Mouschoutzi, PhD

essays about data, AI/ML & tech ๐Ÿ’Œ

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