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Can You Solve The Red Ball Lottery Puzzle?

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 Brain Teasers   |   Math
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(Same video without the music: https://youtu.be/sz5oLEpc8xE) This problem involves 100 red balls, 100 blue balls, and 2 urns. First you distribute all the balls between the 2 urns, placing at least 1 ball in each urn. Next, you select an urn at random, and then draw a ball at random from the urn. You win $100 if you draw a red ball. What is your best strategy for distributing the balls, and what is your winning percentage? The video presents the solution and a proof of its optimality. Do you like the music in this video? Let me know what you think! I'm deciding whether to add music to videos I make. If you don't want music, I made a version of this video without background music just for you: https://youtu.be/sz5oLEpc8xE

Blog post: http://wp.me/p6aMk-4Hw

Music is "Air Hockey Saloon" by Chris Zabriskie, licensed under a Creative Commons Attribution license (https://creativecommons.org/licenses/by/4.0/)
Source: http://chriszabriskie.com/vendaface/
Artist: http://chriszabriskie.com/


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My Books

"The Joy of Game Theory" shows how you can use math to out-think your competition. (rated 4/5 stars on 22 reviews) http://amzn.to/1uQvA20

"The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" is a handbook that explains the many ways we are biased about decision-making and offers techniques to make smart decisions. http://amzn.to/1o3FaAg

"Math Puzzles Volume 1" features classic brain teasers and riddles with complete solutions for problems in counting, geometry, probability, and game theory. Volume 1 is rated 4.5/5 stars on 11 reviews. http://amzn.to/1GhUUSH

"Math Puzzles Volume 2" is a sequel book with more great problems. http://amzn.to/1NKbyCs

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"40 Paradoxes in Logic, Probability, and Game Theory" contains thought-provoking and counter-intuitive results. (rated 4.9/5 stars on 7 reviews) http://amzn.to/1LOCI4U

"The Best Mental Math Tricks" teaches how you can look like a math genius by solving problems in your head http://amzn.to/18maAdo

"Multiply Numbers By Drawing Lines" This book is a reference guide for my video that has over 1 million views on a geometric method to multiply numbers. http://amzn.to/XRm7M4

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