Comments on: Puzzler: Ultimate Frisbee- call it! http://blogs.mathworks.com/videos/2009/10/27/puzzler-ultimate-frisbee-call-it/ Doug Hull is a proud MathWorker who is on a mission to help you with MATLAB. Fri, 10 Feb 2012 20:31:50 +0000 hourly 1 http://wordpress.org/?v=3.2.1 By: Oliver Woodford http://blogs.mathworks.com/videos/2009/10/27/puzzler-ultimate-frisbee-call-it/#comment-1645 Oliver Woodford Wed, 28 Oct 2009 09:34:40 +0000 http://blogs.mathworks.com/videos/2009/10/27/puzzler-ultimate-frisbee-call-it/#comment-1645 Sorry, Doug. I only just noticed your "email me with solutions" request. I hope I haven't spoilt it for anyone else. Sorry, Doug. I only just noticed your “email me with solutions” request. I hope I haven’t spoilt it for anyone else.

]]> By: Oliver Woodford http://blogs.mathworks.com/videos/2009/10/27/puzzler-ultimate-frisbee-call-it/#comment-1644 Oliver Woodford Wed, 28 Oct 2009 09:31:25 +0000 http://blogs.mathworks.com/videos/2009/10/27/puzzler-ultimate-frisbee-call-it/#comment-1644 Let p be the probability of "heads", so (1 - p) is the probability of "tails". The probability of same is therefore (p^2 + (1-p)^2) and the probability of different is (2*p*(1-p)). We can plot those over p = [0,1]: <pre> p = (0:0.001:1)'; plot(p, [p.^2 + (1-p).^2, 2*p.*(1-p)]); legend Same Different </pre> From this you'll see that the probability of same is always greater than or equal to the probability of different, so it's the better call to make. Let p be the probability of “heads”, so (1 – p) is the probability of “tails”. The probability of same is therefore (p^2 + (1-p)^2) and the probability of different is (2*p*(1-p)). We can plot those over p = [0,1]:

p = (0:0.001:1)'; plot(p, [p.^2 + (1-p).^2, 2*p.*(1-p)]); legend Same Different

From this you’ll see that the probability of same is always greater than or equal to the probability of different, so it’s the better call to make.

]]> By: Marcial Medina http://blogs.mathworks.com/videos/2009/10/27/puzzler-ultimate-frisbee-call-it/#comment-1643 Marcial Medina Wed, 28 Oct 2009 01:59:02 +0000 http://blogs.mathworks.com/videos/2009/10/27/puzzler-ultimate-frisbee-call-it/#comment-1643 Is better than I don´t say to much with me happend the same... lol and I love to play too ! Is better than I don´t say to much with me happend the same… lol and I love to play too !

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