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Another backgammon puzzle

Posted By: Timothy Chow
Date: Saturday, 2 March 2013, at 2:52 a.m.

In Response To: Another backgammon puzzle (Timothy Chow)

I wrote:

Here's one candidate. Say that two backgammon games A and B are "the same" if there exists some number n such that the board position and dice in Game A on the nth roll are the same as the board position and dice in Game B on the nth roll. Are there infinitely many distinct backgammon games in this sense?

Whoops...I should have said, "for infinitely many n" rather than "there exists some number n."

Games that last only a finite number of rolls are all the same by this definition.

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