Elchanan Mossel's Dice Paradox - Expected Value in Conditional Probability
Wrath of Math via YouTube
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Explore a fascinating 23-minute mathematical video that delves into Elchanan Mossel's dice paradox, examining the expected number of throws needed to get a 6 when all throws must be even numbers. Learn through detailed explanations, including intuitive reasoning, common misconceptions, and rigorous probability calculations. Follow along as the video breaks down this complex probability puzzle through trials, poll results, and step-by-step analysis, ultimately revealing why this paradox challenges common mathematical intuition. Perfect for mathematics enthusiasts interested in probability theory and those who enjoy solving challenging mathematical puzzles.
Syllabus
0:00 Intro
1:34 Some Trials
2:49 Poll Results
5:14 Intuitive Explanation
12:36 The Flaw in the Argument
15:07 Expected Value Calculation
21:58 Conclusion
Taught by
Wrath of Math