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[Bug-gnubg] The meaning of the numbers in the double evaluation


From: Tim Daughters
Subject: [Bug-gnubg] The meaning of the numbers in the double evaluation
Date: Sat, 16 Nov 2002 16:34:09 -0500

What is meant by the numbers to the right of the "No double", and "Double, take" fields when I choose "Evaluate"?  I thought that it would be the expected value of each option (I think that is true for "Double, pass" since it is always 1.), but it can't be right for the other two options.  Here is an example:
 
I set up a board position with the player having a checker on the 3 and 2 point, and gnubg having a checker on the 2 point.  It is the player's roll.  The player will win with 25 out of 36 rolls, and will lose on the other 11.  That gives the player an expected value of (25-11)/36 = 0.389 to roll it out and double that for an accepted double.  Since the player will refuse any redouble if he doesn't win on the next roll.
 
The Evaluation option lists this information:
 
No double     : 0.594
Double, pass: 1.000
Double, take : 0.594
 
What do those numbers mean?

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