The 2017 Raytheon MATHCOUNTS National Competition was held May 13-16, 2017 in Orlando, FL. Find out more about the MATHCOUNTS Competition Series at http://www.mathcounts.org/competition.
The 2016 Raytheon MATHCOUNTS National Competition was held May 7-10, 2016 in Washington, DC. Find out more about the MATHCOUNTS Competition Series at http://www.mathcounts.org/competition.
The 2015 Raytheon MATHCOUNTS National Competition was held May 7-10, 2016 in Boston, MA. Find out more about the MATHCOUNTS Competition Series at http://www.mathcounts.org/competition.
Luke Robitaille, an 7th-grader from Euless, Texas, captured the 2017 Raytheon MATHCOUNTS® National Champion title in Orlando, Fla. The competition brings together 224 top middle-school Mathletes from across the United States. The competitors are the nation’s best and brightest middle school math students, representing all 50 states, the District of Columbia, U.S. territories and schools from the Departments of Defense and State. The final question was, "In a barn, 100 chicks sit peacefully in a circle. Suddenly, each chick randomly pecks the chick immediately to its left or right. What is the expected number of un-pecked chicks?" Luke's winning answer? "25."
Kelly and Ryan test their math skills against the winner of the Mathcounts competition.
"In a barn, 100 chicks sit peacefully in a circle. Suddenly, each chick randomly pecks the chick immediately to its left or right. What is the expected number of unpecked chicks?" This question is from the 2017 Raytheon National MathCounts competition that took place today. It took me like 5 minutes to solve it. Congrats to Luke Robitaille who buzzed in under one second and gave the correct answer! Watch the video for a detailed solution and a pedantic discussion of the wording of the question. My blog post for this video: https://wp.me/p6aMk-5bI If you've been watching my videos, you should know how to solve this! This problem is like guessing on a matching test (https://www.youtube.com/watch?v=h2VMMlpEtRU) or figuring out how many shuffled cards do not move position (https://www.youtube.com/watch?v=oUo53pIplhc). Some people are confused about the linearity of expectation. It works even if the events are not independent. You can read the discussion at Math Stackexchange and see the linearity of expectation proof is correct: https://math.stackexchange.com/questions/2282622/expected-number-of-unpecked-chicks-nyt-article Sources https://www.nytimes.com/2017/05/15/us/math-counts-national-competition.html?smid=tw-nytimes&smtyp=cur&_r=0 https://twitter.com/i/web/status/864216835524362240 http://www.businessinsider.com/espn-math-competition-winning-question-2017-5 http://www.prnewswire.com/news-releases/luke-robitaille-named-2017-raytheon-mathcounts-national-champion-300457632.html https://www.mathcounts.org/national-competition http://www.espn.com/watch/?id=3034800&_slug_=2017-raytheon-mathcounts-national-competition If you like my videos, you can support me at Patreon: http://www.patreon.com/mindyourdecisions Connect on social media. I update each site when I have a new video or blog post, so you can follow me on whichever method is most convenient for you. My Blog: http://mindyourdecisions.com/blog/ Twitter: http://twitter.com/preshtalwalkar Facebook: https://www.facebook.com/pages/Mind-Your-Decisions/168446714965 Google+: https://plus.google.com/108336608566588374147/posts Pinterest: https://www.pinterest.com/preshtalwalkar/ Tumblr: http://preshtalwalkar.tumblr.com/ Instagram: https://instagram.com/preshtalwalkar/ Patreon: http://www.patreon.com/mindyourdecisions Newsletter (sent about 2 times a year): http://eepurl.com/KvS0r My Books "The Joy of Game Theory" shows how you can use math to out-think your competition. (rated 3.8/5 stars on 27 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 2 reviews) 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 4.4/5 stars on 13 reviews. https://www.amazon.com/gp/product/1517421624/ "Math Puzzles Volume 2" is a sequel book with more great problems. (rated 5/5 stars on 3 reviews) https://www.amazon.com/gp/product/1517531624/ "Math Puzzles Volume 3" is the third in the series. (rated 3.8/5 stars on 4 reviews) https://www.amazon.com/gp/product/1517596351/ "40 Paradoxes in Logic, Probability, and Game Theory" contains thought-provoking and counter-intuitive results. (rated 4.7/5 stars on 12 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 4 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 3 reviews) https://www.amazon.com/gp/product/1500866148/
The 2018 Raytheon MATHCOUNTS National Competition was held May 12-14, 2018 Washington, DC. The Countdown Round features the 12 students who scored highest during the written portion of the competition. Problem are read allowed for the audience, but each competitor also has the problem displayed on a monitor in front of them. Students are allowed to buzz in at any point, they do not need to wait for the full question to be read. Find out more about the MATHCOUNTS Competition Series at http://www.mathcounts.org/competition.
Winner of the 2016-2017 Math Video Challenge. This video was created by QUAD SQUAD. The Math Video Challenge is an innovative program involving teams of students using cutting-edge technology to create videos about math problems and their associated concepts. This competition is meant to excite students about math while allowing them to hone their creativity and communication skills. Each video must teach the solution to a selected math problem as well as demonstrate the real-world application of the math concept used in the problem. For more information on the Math Video Challenge please visit http://videochallenge.mathcounts.org.
The winner of the 2017 national Mathcounts competition solved this in 0.9 seconds! How fast did you solve it? Post in the comments. Footage of it live here at minute 55:37: https://www.youtube.com/watch?v=vFTeN17Z4rc