FIBS Board backgammon forum

Backgammon => Backgammon problems => Topic started by: PersianLord on May 01, 2008, 09:41:48 AM

Poll
Question: Red to play 3-3
Option 1: 23/20-13/7-6/3 votes: 1
Option 2: 23/20-13/10(2)-6/3 votes: 4
Option 3: 6/3(2)-7/4(2) votes: 0
Option 4: 23/20-13/4 votes: 0
Option 5: 23/20-6/3(3) votes: 3
Title: Position #25
Post by: PersianLord on May 01, 2008, 09:41:48 AM
Position information:

Pip-count:  Red 155-164 White
Score:        Red     1-0     White
Match:        7-pointer

(http://www.freewebs.com/persianlord/position25.png)

Analysis needed.
Title: Re: Position #25
Post by: blitzxz on May 02, 2008, 12:26:16 AM
Red is leading the race (and the match) and white has solid high anchor so simple run for home is my choice. 23/20 13/10 (2) 6/3. 13/10(4) and 13/7(2) looks interesting also but leaving checkers behind and uncovered is propably too risky.
Title: Re: Position #25
Post by: PersianLord on May 02, 2008, 02:23:37 PM
Quote from: blitzxz on May 02, 2008, 12:26:16 AM
Red is leading the race (and the match) and white has solid high anchor so simple run for home is my choice. 23/20 13/10 (2) 6/3. 13/10(4) and 13/7(2) looks interesting also but leaving checkers behind and uncovered is propably too risky.

You got it right. :thumbsup:

Spoiler
Multiple options are available for red. Considering the small lead in race and score, there should be no debate about the correctness of anchoring on White's 5-pt. So 23/20 is clear. But what about the other 3s? Here red must follow a balanced strategy. Thus the best play is 23/20-13/10(2)-6/3:

    1. Cubeful 2-ply    23/20 13/10(2) 6/3           Eq.:  +0.358
        60.7%   9.0%   0.2% -  39.3%   5.4%   0.1%
       
    2. Cubeful 2-ply    23/20 13/7 6/3               Eq.:  +0.332 ( -0.026)
        59.9%   8.5%   0.1% -  40.1%   5.0%   0.1%
       
    3. Cubeful 2-ply    23/20 13/4                   Eq.:  +0.326 ( -0.032)
        59.6%   8.5%   0.1% -  40.4%   5.0%   0.1%
     
    4. Cubeful 2-ply    23/20 7/4(2) 6/3             Eq.:  +0.297 ( -0.061)
        58.7%   9.0%   0.1% -  41.3%   5.7%   0.1%
       
    5. Cubeful 2-ply    23/20 7/4 6/3(2)             Eq.:  +0.279 ( -0.079)
        57.6%  10.5%   0.2% -  42.4%   5.8%   0.1%

With this move, red improves his position in all directions:

i) he makes the best anchor (5-pt)
ii) he make another point in front of white's anchor
iii) he slots on 3-pt for future developmens

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