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Re:Coin Puzzle: Predict the Other's Coin by audreyt on Sunday December 30, 2012 @08:11AM (#4985573)
The team of A and B can increase the chance from ¼ to ½ by consistently taking their output from step 2 and using it as the guess for step 3.

Same thing if they both agree to guess the inverse of step 2.

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Re:Coin Puzzle: Predict the Other's Coin by audreyt on Sunday December 30, 2012 @08:17AM (#4985589)
The way this works is that it essentially reduces two independent guesses (A=X && B=Y) into one guess (A=B).
Re:Coin Puzzle: Predict the Other's Coin by datdatruth on Sunday December 30, 2012 @08:22AM (#4985600)
This does not work because the text says "Players A and B build a team, they have one fair coin each" NOT one fair coin total.
Re:Coin Puzzle: Predict the Other's Coin by theonewolf on Sunday December 30, 2012 @08:57AM (#4985696)
_but_ they can communicate a strategy ahead of time in step 1.