Comments on: Puzzler: Ultimate Frisbee- call it! Wrap up https://blogs.mathworks.com/videos/2009/11/03/puzzler-ultimate-frisbee-call-it-wrap-up/?s_tid=feedtopost Stuart uses video to share his experiences solving problems with MATLAB day-to-day, interesting new features, plus tips and tricks he has picked up along the way. Tue, 03 Nov 2009 23:06:37 +0000 hourly 1 https://wordpress.org/?v=6.2.2 By: Arman Boyaci https://blogs.mathworks.com/videos/2009/11/03/puzzler-ultimate-frisbee-call-it-wrap-up/#comment-1656 Tue, 03 Nov 2009 23:06:37 +0000 https://blogs.mathworks.com/videos/2009/11/03/puzzler-ultimate-frisbee-call-it-wrap-up/#comment-1656 In order to make a “fair” game, I suggest the following procedure:

Player 1 does not choose Heads or Tails but {HT} or {TH}. Remaining one (HT / TH) is for Player 2.

Assuming that observations are independent, we have the following probabilities:
P{HT} = p(1-p)
P(HH) = p^2
P(TT) = (1-p)^2
P(TH) = (1-p)p

In other words, first we flip twice if we get {HT} or {TH} then we have a winner; otherwise we flip (twice) again.

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