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A challenge to you math nerds

Posted By: phil simborg
Date: Monday, 30 January 2012, at 3:10 a.m.

My brother and I have invented a backgammon variation that we enjoy very much. We play a match to SEVEN GAMES (not points). The cube can only go as high as 2. No beavers, Crawford, or Jacoby. If tied, we play sudden death.

Naturally, this game will challenge you in terms of calculating doubling windows, take points, and POG, but I think I have it fairly well figured out for leads of 2 or 3 point with 3 or 4 games remaining (but I wouldn't swear to it).

My question is, what are the above numbers on the opening game; on the second game is someone leads 2-0 and on the third game if someone is leading 2-1?

By the way, I'm not trying to get information to take advantage of my wonderful brother (I would never admit to that) and I will share the information with him.

I'd love to know the numbers and how you arrived at them, please.

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