The card game of memory (aka concentration) is a children's game to test visual recall. Strategically you can figure out the best move by doing probability calculations. This video explains the best possible way to play the game mathematically. You can learn whether you want to go first or second and then how to play at each step of the game.
Fun trivia: the cards in the video come from my childhood set of the Memory game.
Blog post (text summary): http://wp.me/p6aMk-4pz
U. Zwick and M. S. Paterson, The memory game. Theoretical Computer Science, 110 (1993):169-196
SPECIAL THANKS TO Possibly Wrong! Check out this excellent post that provides details and references to other papers on this topic as well:
I read about the 3 pairs, 1 known example from the chapter on Memory in the book "Luck, Logic, and White Lies: The Mathematics of Games" by Jorg Bewersdorff. http://amzn.to/VIHHkt
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"The Joy of Game Theory" shows how you can use math to out-think your competition. (rated 4/5 stars on 21 reviews) http://amzn.to/1uQvA20
"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 4.6/5 stars on 9 reviews. http://amzn.to/1GhUUSH
"Math Puzzles Volume 2" is a sequel book with more great problems. http://amzn.to/1NKbyCs
"Math Puzzles Volume 3" is the third in the series. http://amzn.to/1NKbGlp
"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