Can You Solve De Méré's Dice Paradox?

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Join Wrath of Math to get exclusive videos, lecture notes, and more: https://www.youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/join 🛍 Check out my math fashion brand! https://mathshion.com/ We look at Chevalier de Mere's dice games he was gambling on, and confused by the results. He asked Pascal to solve his problem, and we'll go through the solution and explanation of Chevalier's mistake in this video. This involved independent events, and the addition and multiplication rules of probability as well as the law of complement. #mathematics #maths More Math Chats: https://www.youtube.com/playlist?list=PLztBpqftvzxXQDmPmSOwXSU9vOHgty1RO Business Inquiries: [email protected] Linear Algebra course: https://www.youtube.com/playlist?list=PLztBpqftvzxWT5z53AxSqkSaWDhAeToDG Linear Algebra exercises: https://www.youtube.com/playlist?list=PLztBpqftvzxVmiiFW7KtPwBpnHNkTVeJc Get the textbook for this course! Textbooks I Like! Graph Theory: https://amzn.to/3JHQtZj Real Analysis: https://amzn.to/3CMdgjI Abstract Algebra: https://amzn.to/3IjoZaO Linear Algebra: https://amzn.to/43xAWEz Calculus: https://amzn.to/3PieD1M Proofs and Set Theory: https://amzn.to/367VBXP (available for free online) Statistics: https://amzn.to/4d5HbUQ Discrete Math: https://amzn.to/3qfhoUn Number Theory: https://amzn.to/3JqpOQd Outro music: https://youtube.com/shorts/tfifiSdTZRg Follow Wrath of Math on... ● Instagram: https://www.instagram.com/wrathofmathedu ● TikTok: https://www.tiktok.com/@wrathofmathedu ● X: https://x.com/wrathofmathedu SOURCES https://www.youtube.com/watch?v=ppX7Qjbe6BM https://introductorystats.wordpress.com/2010/11/12/one-gambling-problem-that-launched-modern-probability-theory/ Fifty Challenging Problems in Probability with Solutions A History of Mathematics: An Introduction by Victor J. Katz https://en.wikipedia.org/wiki/Antoine_Gombaud https://proofwiki.org/wiki/De_M%C3%A9r%C3%A9%27s_Paradox 0:00 Intro 1:31 Antoine's Confusion 2:49 The Dice Games 5:50 The Errors and Solution 12:27 Key Takeaways 15:41 Conclusion