I have seen this puzzle in a few places. Most recently I came across it in Peter Winkler's "Mathematical Puzzles: A Connoisseur's Collection" http://amzn.to/1DcPE4V

The Race to 15 Game Theory Puzzle. Alice and Bob take turns selecting cards numbered 1, 2, .., 9 without replacement. (Alice goes first, then Bob picks a remaining card, and so on).

The first player to make a set of 3 cards that adds up to 15 wins the game. Does Alice have a winning strategy?

The video relies on the fact there is only 1 unique arrangement. See this proof: https://www.youtube.com/watch?v=zPnN046OM34

If you like my videos, you can support me at Patreon: http://www.patreon.com/mindyourdecisions

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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/