Companies like Amazon have asked this question during interviews. 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

Asked at Amazon
https://www.careercup.com/question?id=15290691

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 23 reviews) https://www.amazon.com/gp/product/1500497444

"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. (rated 5/5 stars on 1 review) https://www.amazon.com/gp/product/1523231467/

"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. https://www.amazon.com/gp/product/1517421624/

"Math Puzzles Volume 2" is a sequel book with more great problems. https://www.amazon.com/gp/product/1517531624/

"Math Puzzles Volume 3" is the third in the series. https://www.amazon.com/gp/product/1517596351/

"40 Paradoxes in Logic, Probability, and Game Theory" contains thought-provoking and counter-intuitive results. (rated 4.9/5 stars on 7 reviews) https://www.amazon.com/gp/product/1517319307/

"The Best Mental Math Tricks" teaches how you can look like a math genius by solving problems in your head (rated 4.7/5 stars on 3 reviews) https://www.amazon.com/gp/product/150779651X/

"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. (rated 5/5 stars on 1 review) https://www.amazon.com/gp/product/1500866148/