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New(?) backgammon puzzle

Posted By: Wolfgang
Date: Thursday, 27 August 2015, at 3:49 p.m.

In Response To: New(?) backgammon puzzle (Timothy Chow)

Very nice problem. I had fun trying to find a solution. My approach was to start with the very last cube action (32->64), and then to go backwards to the start position (retro puzzle style) in order to keep the pip count small.

Analyzed in XG Roller++ No double Double/Take
Player Winning Chances: 71,36% (G:0,00% B:0,00%) 71,38% (G:0,00% B:0,00%)
Opponent Winning Chances: 28,64% (G:0,00% B:0,00%) 28,62% (G:0,00% B:0,00%)
Cubeless Equities +0,427 +0,855
Cubeful Equities
No double:+0,642 (-0,021)
Double/Take:+0,663
Double/Pass:+1,000 (+0,337)
Best Cube action: Double / Take
White is Player 2

score: 0
pip: 56
Unlimited Game
pip: 45
score: 0

Blue is Player 1
XGID=-GB-DA-------A-b----baebc-:0:0:1:00:0:0:0:0:10
Blue on roll, cube action?

eXtreme Gammon Version: 2.19.211.pre-release

1.XG Roller++13/8eq: +0,136
Player:
Opponent:		62,88% (G:0,00% B:0,00%)
37,12% (G:0,00% B:0,00%)
2.XG Roller++13/10 5/3eq: +0,136 (-0,001)
Player:
Opponent:		62,79% (G:0,00% B:0,00%)
37,21% (G:0,00% B:0,00%)
3.4-ply13/10 4/2eq: +0,048 (-0,088)
Player:
Opponent:		58,74% (G:0,00% B:0,00%)
41,26% (G:0,00% B:0,00%)
White is Player 2

score: 0
pip: 56
Unlimited Game
pip: 45
score: 0

Blue is Player 1
XGID=-GB-DA-------A-b----baebc-:1:-1:1:32:0:0:0:0:10
Blue to play 32

eXtreme Gammon Version: 2.19.211.pre-release

1.XG Roller+10/Off(2)eq: +0,805
Player:
Opponent:		74,15% (G:0,00% B:0,00%)
25,85% (G:0,00% B:0,00%)
White is Player 2

score: 0
pip: 56
Unlimited Game
pip: 40
score: 0

Blue is Player 1
XGID=-GB-DA--A------b----baebc-:1:-1:-1:55:0:0:0:0:10
White to play 55

eXtreme Gammon Version: 2.19.211.pre-release

1.XG Roller++8/Offeq: -0,973
Player:
Opponent:		21,86% (G:0,00% B:0,00%)
78,14% (G:0,00% B:0,00%)
2.XG Roller++8/3 5/2eq: -1,000 (-0,027)
Player:
Opponent:		14,65% (G:0,00% B:0,00%)
85,35% (G:0,00% B:0,00%)
3.XG Roller++8/3 4/1eq: -1,000 (-0,027)
Player:
Opponent:		14,16% (G:0,00% B:0,00%)
85,84% (G:0,00% B:0,00%)
White is Player 2

score: 0
pip: 36
Unlimited Game
pip: 40
score: 0

Blue is Player 1
XGID=-GB-DA--A-----------baebc-:1:-1:1:35:0:0:0:0:10
Blue to play 35

eXtreme Gammon Version: 2.19.211.pre-release

Analyzed in XG Roller++ No redouble Redouble/Take
Player Winning Chances: 78,15% (G:0,00% B:0,00%) 78,15% (G:0,00% B:0,00%)
Opponent Winning Chances: 21,85% (G:0,00% B:0,00%) 21,85% (G:0,00% B:0,00%)
Cubeless Equities +0,563 +1,126
Cubeful Equities
No redouble:+0,839 (-0,137)
Redouble/Take:+0,976
Redouble/Pass:+1,000 (+0,024)
Best Cube action: Redouble / Take
White is Player 2

score: 0
pip: 36
Unlimited Game
pip: 32
score: 0

Blue is Player 1
XGID=-GB-DA--------------baebc-:1:-1:-1:00:0:0:0:0:10
White on roll, cube action?

eXtreme Gammon Version: 2.19.211.pre-release

1.XG Roller++2/Off 1/Offeq: +0,319
Player:
Opponent:		70,63% (G:0,00% B:0,00%)
29,37% (G:0,00% B:0,00%)
2.XG Roller++3/Offeq: +0,253 (-0,066)
Player:
Opponent:		67,78% (G:0,00% B:0,00%)
32,22% (G:0,00% B:0,00%)
3.XG Roller++5/3 1/Offeq: +0,205 (-0,114)
Player:
Opponent:		65,61% (G:0,00% B:0,00%)
34,39% (G:0,00% B:0,00%)
White is Player 2

score: 0
pip: 36
Unlimited Game
pip: 32
score: 0

Blue is Player 1
XGID=-GB-DA--------------baebc-:2:1:-1:12:0:0:0:0:10
White to play 12

eXtreme Gammon Version: 2.19.211.pre-release

1.XG Roller++4/Off(4)eq: +0,609
Player:
Opponent:		66,87% (G:0,00% B:0,00%)
33,13% (G:0,00% B:0,00%)
2.XG Roller++5/1 4/Off(3)eq: +0,112 (-0,496)
Player:
Opponent:		47,96% (G:0,00% B:0,00%)
52,04% (G:0,00% B:0,00%)
White is Player 2

score: 0
pip: 33
Unlimited Game
pip: 32
score: 0

Blue is Player 1
XGID=-GB-DA--------------baeab-:2:1:1:44:0:0:0:0:10
Blue to play 44

eXtreme Gammon Version: 2.19.211.pre-release

1.XG Roller++2/Off 1/Offeq: -0,977
Player:
Opponent:		22,79% (G:0,00% B:0,00%)
77,21% (G:0,00% B:0,00%)
2.XG Roller++3/Offeq: -1,000 (-0,023)
Player:
Opponent:		20,78% (G:0,00% B:0,00%)
79,22% (G:0,00% B:0,00%)
3.XG Roller++5/3 1/Offeq: -1,000 (-0,023)
Player:
Opponent:		19,12% (G:0,00% B:0,00%)
80,88% (G:0,00% B:0,00%)
White is Player 2

score: 0
pip: 33
Unlimited Game
pip: 16
score: 0

Blue is Player 1
XGID=-GB--A--------------baeab-:2:1:-1:21:0:0:0:0:10
White to play 21

eXtreme Gammon Version: 2.19.211.pre-release

Analyzed in XG Roller++ No redouble Redouble/Take
Player Winning Chances: 77,21% (G:0,00% B:0,00%) 77,21% (G:0,00% B:0,00%)
Opponent Winning Chances: 22,79% (G:0,00% B:0,00%) 22,79% (G:0,00% B:0,00%)
Cubeless Equities +0,544 +1,088
Cubeful Equities
No redouble:+0,760 (-0,224)
Redouble/Take:+0,983
Redouble/Pass:+1,000 (+0,017)
Best Cube action: Redouble / Take
White is Player 2

score: 0
pip: 30
Unlimited Game
pip: 16
score: 0

Blue is Player 1
XGID=-GB--A--------------bae-a-:2:1:1:00:0:0:0:0:10
Blue on roll, cube action?

eXtreme Gammon Version: 2.19.211.pre-release

1.XG Roller++2/Off 1/Offeq: +0,419
Player:
Opponent:		73,98% (G:0,00% B:0,00%)
26,02% (G:0,00% B:0,00%)
2.XG Roller++5/4 2/Offeq: +0,066 (-0,353)
Player:
Opponent:		57,96% (G:0,00% B:0,00%)
42,04% (G:0,00% B:0,00%)
3.XG Roller++5/2eq: +0,066 (-0,354)
Player:
Opponent:		57,92% (G:0,00% B:0,00%)
42,08% (G:0,00% B:0,00%)
White is Player 2

score: 0
pip: 30
Unlimited Game
pip: 16
score: 0

Blue is Player 1
XGID=-GB--A--------------bae-a-:3:-1:1:21:0:0:0:0:10
Blue to play 21

eXtreme Gammon Version: 2.19.211.pre-release

1.XG Roller++3/Off(4)eq: +0,416
Player:
Opponent:		62,30% (G:0,00% B:0,00%)
37,70% (G:0,00% B:0,00%)
2.XG Roller++5/2 3/Off(3)eq: +0,346 (-0,070)
Player:
Opponent:		57,98% (G:0,00% B:0,00%)
42,02% (G:0,00% B:0,00%)
3.XG Roller++5/2(2) 3/Off(2)eq: -0,174 (-0,590)
Player:
Opponent:		35,19% (G:0,00% B:0,00%)
64,81% (G:0,00% B:0,00%)
White is Player 2

score: 0
pip: 30
Unlimited Game
pip: 13
score: 0

Blue is Player 1
XGID=-FA--A--------------bae-a-:3:-1:-1:33:0:0:0:0:10
White to play 33

eXtreme Gammon Version: 2.19.211.pre-release

1.XG Roller++2/Off 1/Offeq: -0,717
Player:
Opponent:		29,89% (G:0,00% B:0,00%)
70,11% (G:0,00% B:0,00%)
2.XG Roller++5/3 1/Offeq: -1,000 (-0,283)
Player:
Opponent:		12,55% (G:0,00% B:0,00%)
87,45% (G:0,00% B:0,00%)
3.XG Roller++5/2eq: -1,000 (-0,283)
Player:
Opponent:		12,55% (G:0,00% B:0,00%)
87,45% (G:0,00% B:0,00%)
White is Player 2

score: 0
pip: 18
Unlimited Game
pip: 13
score: 0

Blue is Player 1
XGID=-FA--A--------------baa-a-:3:-1:1:12:0:0:0:0:10
Blue to play 12

eXtreme Gammon Version: 2.19.211.pre-release

Analyzed in XG Roller++ No redouble Redouble/Take
Player Winning Chances: 70,11% (G:0,00% B:0,00%) 70,11% (G:0,00% B:0,00%)
Opponent Winning Chances: 29,89% (G:0,00% B:0,00%) 29,89% (G:0,00% B:0,00%)
Cubeless Equities +0,402 +0,804
Cubeful Equities
No redouble:+0,559 (-0,165)
Redouble/Take:+0,724
Redouble/Pass:+1,000 (+0,276)
Best Cube action: Redouble / Take
White is Player 2

score: 0
pip: 18
Unlimited Game
pip: 10
score: 0

Blue is Player 1
XGID=-E---A--------------baa-a-:3:-1:-1:00:0:0:0:0:10
White on roll, cube action?

eXtreme Gammon Version: 2.19.211.pre-release

1.XG Roller++5/Off 4/Offeq: +0,641
Player:
Opponent:		82,40% (G:0,00% B:0,00%)
17,60% (G:0,00% B:0,00%)
2.XG Roller++5/1 5/Offeq: +0,330 (-0,311)
Player:
Opponent:		68,91% (G:0,00% B:0,00%)
31,09% (G:0,00% B:0,00%)
White is Player 2

score: 0
pip: 18
Unlimited Game
pip: 10
score: 0

Blue is Player 1
XGID=-E---A--------------baa-a-:4:1:-1:54:0:0:0:0:10
White to play 54

eXtreme Gammon Version: 2.19.211.pre-release

1.XG Roller++1/Off(4)eq: +0,401
Player:
Opponent:		58,27% (G:0,00% B:0,00%)
41,73% (G:0,00% B:0,00%)
2.XG Roller++5/4 1/Off(3)eq: -0,683 (-1,083)
Player:
Opponent:		15,87% (G:0,00% B:0,00%)
84,13% (G:0,00% B:0,00%)
3.XG Roller++5/3 1/Off(2)eq: -0,734 (-1,134)
Player:
Opponent:		13,32% (G:0,00% B:0,00%)
86,68% (G:0,00% B:0,00%)
White is Player 2

score: 0
pip: 9
Unlimited Game
pip: 10
score: 0

Blue is Player 1
XGID=-E---A--------------a-a-a-:4:1:1:11:0:0:0:0:10
Blue to play 11

eXtreme Gammon Version: 2.19.211.pre-release

1.XG Roller++3/Offeq: -0,877
Player:
Opponent:		23,07% (G:0,00% B:0,00%)
76,93% (G:0,00% B:0,00%)
2.XG Roller++5/3 1/Offeq: -1,000 (-0,123)
Player:
Opponent:		17,05% (G:0,00% B:0,00%)
82,95% (G:0,00% B:0,00%)
3.XG Roller++5/4 3/1eq: -1,000 (-0,123)
Player:
Opponent:		5,02% (G:0,00% B:0,00%)
94,98% (G:0,00% B:0,00%)
White is Player 2

score: 0
pip: 9
Unlimited Game
pip: 6
score: 0

Blue is Player 1
XGID=-A---A--------------a-a-a-:4:1:-1:12:0:0:0:0:10
White to play 12

eXtreme Gammon Version: 2.19.211.pre-release

Analyzed in XG Roller++ No redouble Redouble/Take
Player Winning Chances: 76,93% (G:0,00% B:0,00%) 76,93% (G:0,00% B:0,00%)
Opponent Winning Chances: 23,07% (G:0,00% B:0,00%) 23,07% (G:0,00% B:0,00%)
Cubeless Equities +0,539 +1,077
Cubeful Equities
No redouble:+0,539 (-0,338)
Redouble/Take:+0,877
Redouble/Pass:+1,000 (+0,123)
Best Cube action: Redouble / Take
White is Player 2

score: 0
pip: 6
Unlimited Game
pip: 6
score: 0

Blue is Player 1
XGID=-A---A--------------a---a-:4:1:1:00:0:0:0:0:10
Blue on roll, cube action?

eXtreme Gammon Version: 2.19.211.pre-release

1.XG Roller++5/Offeq: -0,556
Player:
Opponent:		36,11% (G:0,00% B:0,00%)
63,89% (G:0,00% B:0,00%)
White is Player 2

score: 0
pip: 6
Unlimited Game
pip: 6
score: 0

Blue is Player 1
XGID=-A---A--------------a---a-:5:-1:1:14:0:0:0:0:10
Blue to play 14

eXtreme Gammon Version: 2.19.211.pre-release

Analyzed in XG Roller++ No redouble Redouble/Take
Player Winning Chances: 63,89% (G:0,00% B:0,00%) 63,89% (G:0,00% B:0,00%)
Opponent Winning Chances: 36,11% (G:0,00% B:0,00%) 36,11% (G:0,00% B:0,00%)
Cubeless Equities +0,278 +0,556
Cubeful Equities
No redouble:+0,278 (-0,278)
Redouble/Take:+0,556
Redouble/Pass:+1,000 (+0,444)
Best Cube action: Redouble / Take
White is Player 2

score: 0
pip: 6
Unlimited Game
pip: 1
score: 0

Blue is Player 1
XGID=-A------------------a---a-:5:-1:-1:00:0:0:0:0:10
White on roll, cube action?

eXtreme Gammon Version: 2.19.211.pre-release

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