On Sunday, July 10, 2022 at 1:30:09 AM UTC+1, Tim Chow wrote:
While you're right that I wouldn't call this a reference position
in isolation, I do think that your position can be a useful member
of a *set* of early blitz cube reference positions.
Let's begin with 54S-33A-F-C (54 split, 33 attack, fan, cube):
XGID=aa-B-BC-A---dE---d-e----B-:0:0:1:00:0:0:3:0:10
X:Player 2 O:Player 1
Score is X:0 O:0. Unlimited Game, Jacoby Beaver +13-14-15-16-17-18------19-20-21-22-23-24-+
| X O | | O X |
| X O | | O X |
| X O | | O |
| X O | | O |
| X | | O |
| |BAR| |
| | O | |
| O | | |
| O | | X |
| O | | X X X |
| O X | | X X X O |
+12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count X: 155 O: 163 X-O: 0-0
Cube: 1
X on roll, cube action
Analyzed in XG Roller++
Player Winning Chances: 66.54% (G:27.23% B:1.20%)
Opponent Winning Chances: 33.46% (G:7.26% B:0.32%)
Cubeful Equities:
No double: +0.777 (-0.077)
Double/Take: +0.854
Double/Pass: +1.000 (+0.146)
Best Cube action: Double / Take
----------------------------------------------------
Now modify the position by bringing another checker
into the zone:
----------------------------------------------------
XGID=aa-B-BC-AA--dD---d-e----B-:0:0:1:00:0:0:3:0:10
X:Player 2 O:Player 1
Score is X:0 O:0. Unlimited Game, Jacoby Beaver +13-14-15-16-17-18------19-20-21-22-23-24-+
| X O | | O X |
| X O | | O X |
| X O | | O |
| X O | | O |
| | | O |
| |BAR| |
| | O | |
| O | | |
| O | | X |
| O | | X X X |
| O X X | | X X X O |
+12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count X: 151 O: 163 X-O: 0-0
Cube: 1
X on roll, cube action
Analyzed in XG Roller++
Player Winning Chances: 68.85% (G:29.26% B:1.50%)
Opponent Winning Chances: 31.15% (G:6.43% B:0.27%)
Cubeful Equities:
No double: +0.867 (-0.133)
Double/Take: +1.058 (+0.058)
Double/Pass: +1.000
Best Cube action: Double / Pass ----------------------------------------------------
Finally, your position: another checker in the zone,
but the defender has managed to roll an early 55: ----------------------------------------------------
XGID=aa-B-BC-AAA-cC---c-e--b-B-:0:0:1:00:0:0:3:0:10
X:Player 2 O:Player 1
Score is X:0 O:0. Unlimited Game, Jacoby Beaver +13-14-15-16-17-18------19-20-21-22-23-24-+
| X O | | O O X |
| X O | | O O X |
| X O | | O |
| | | O |
| | | O |
| |BAR| |
| | O | |
| | | |
| O | | X |
| O | | X X X |
| O X X X | | X X X O |
+12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count X: 148 O: 148 X-O: 0-0
Cube: 1
X on roll, cube action
Analyzed in XG Roller++
Player Winning Chances: 68.42% (G:30.04% B:1.36%)
Opponent Winning Chances: 31.58% (G:8.41% B:0.51%)
Cubeless Equities: No Double=+0.593, Double=+1.216
Cubeful Equities:
No double: +0.805 (-0.185)
Double/Take: +0.990
Double/Pass: +1.000 (+0.010)
Best Cube action: Double / Take
eXtreme Gammon Version: 2.19.207.pre-release
Thanks for explaining how the evaluation changes. The final position is not mine, but close to mine.
You transferred one of my checkers from my midpoint to my 8 point.
Sine the 8 point is better than the mid point for the spare, we improve my position (thank you so much!!) from a marginal pass to a possible take.
Paul
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