acepoint’s home

Three opponent checkers on the acepoint

We start with three similar positions and a bad distribution for the roller (441, 551, 661):

Pip counts: gnubg 3, ace 9

Position ID: BwAAEAMAAAAAAA Match ID: UQngAAAAAAAA

• ace doubles

Cube decision
2-ply cubeless equity		+0.541	(Money: +0.541)
	0.771 0.000 0.000 – 0.229 0.000 0.000
Cubeful equities:
1.	Double, pass	+1.000
2.	Double, take	+1.095	+0.095
3.	No double	+0.598	-0.402
Proper cube action:		Redouble, pass

Pip counts: gnubg 3, ace 11

Position ID: BwAAEAYAAAAAAA Match ID: UQngAAAAAAAA

• ace doubles

Cube decision
2-ply cubeless equity		+0.265	(Money: +0.265)
	0.632 0.000 0.000 – 0.368 0.000 0.000
Cubeful equities:
1.	Double, take	+0.422
2.	Double, pass	+1.000	+0.578
3.	No double	+0.333	-0.089
Proper cube action:		Redouble, take

Pip counts: gnubg 3, ace 13

Position ID: BwAAEAwAAAAAAA Match ID: UQkAAAAAAAAA

• ace doubles

Cube decision
2-ply cubeless equity		-0.118
	0.441 0.000 0.000 – 0.559 0.000 0.000
Cubeful equities:
1.	No double	-0.062
2.	Double, pass	+1.000	+1.062
3.	Double, take	-0.594	-0.532
Proper cube action:		No redouble, beaver (33.4%)

In the next three positions there is no checker on greens acepoint (632, 552, 652):

Pip counts: gnubg 3, ace 11

Position ID: BwAAoAgAAAAAAA Match ID: UQngAAAAAAAA

• ace doubles

Cube decision
2-ply cubeless equity		+0.386	(Money: +0.386)
	0.693 0.000 0.000 – 0.307 0.000 0.000
Cubeful equities:
1.	Double, take	+0.723
2.	Double, pass	+1.000	+0.277
3.	No double	+0.485	-0.238
Proper cube action:		Redouble, take

Pip counts: gnubg 3, ace 12

Position ID: BwAAIAYAAAAAAA Match ID: UQngAAAAAAAA

• ace doubles

Cube decision
2-ply cubeless equity		+0.163	(Money: +0.163)
	0.582 0.000 0.000 – 0.418 0.000 0.000
Cubeful equities:
1.	No double	+0.283
2.	Double, pass	+1.000	+0.717
3.	Double, take	+0.190	-0.093
Proper cube action:		No redouble, take (11.5%)

Pip counts: gnubg 3, ace 13

Position ID: BwAAIAoAAAAAAA Match ID: UQkAAAAAAAAA

• ace doubles

Cube decision
2-ply cubeless equity		+0.059
	0.529 0.000 0.000 – 0.471 0.000 0.000
Cubeful equities:
1.	No double	+0.178
2.	Double, pass	+1.000	+0.822
3.	Double, take	-0.085	-0.263
Proper cube action:		No redouble, beaver (24.3%)

Another three positions where the lowest checker is on the 3-point (333, 346, 355)

Pip counts: gnubg 3, ace 9

Position ID: BwAAwAEAAAAAAA Match ID: UQngAAAAAAAA

• ace doubles

Cube decision
2-ply cubeless equity		+0.507	(Money: +0.507)
	0.753 0.000 0.000 – 0.247 0.000 0.000
Cubeful equities:
1.	Double, pass	+1.000
2.	Double, take	+1.034	+0.034
3.	No double	+0.615	-0.385
Proper cube action:		Redouble, pass

Pip counts: gnubg 3, ace 13

Position ID: BwAAQAkAAAAAAA Match ID: UQkAAAAAAAAA

• ace doubles

Cube decision
2-ply cubeless equity		+0.148
	0.574 0.000 0.000 – 0.426 0.000 0.000
Cubeful equities:
1.	No double	+0.239
2.	Double, pass	+1.000	+0.761
3.	Double, take	+0.023	-0.216
Proper cube action:		No redouble, take (22.1%)

Pip counts: gnubg 3, ace 13

Position ID: BwAAQAYAAAAAAA Match ID: UQkAAAAAAAAA

• ace doubles

Cube decision
2-ply cubeless equity		+0.049
	0.524 0.000 0.000 – 0.476 0.000 0.000
Cubeful equities:
1.	No double	+0.128
2.	Double, pass	+1.000	+0.872
3.	Double, take	-0.129	-0.257
Proper cube action:		No redouble, beaver (22.8%)

Last but not least two even worse positions (444, 445):

Pip counts: gnubg 3, ace 12

Position ID: BwAAgAMAAAAAAA Match ID: UQkAAAAAAAAA

• ace doubles

Cube decision
2-ply cubeless equity		+0.117
	0.559 0.000 0.000 – 0.441 0.000 0.000
Cubeful equities:
1.	No double	+0.228
2.	Double, pass	+1.000	+0.772
3.	Double, take	+0.035	-0.193
Proper cube action:		No redouble, take (20.0%)

Pip counts: gnubg 3, ace 13

Position ID: BwAAgAUAAAAAAA Match ID: UQkAAAAAAAAA

• ace doubles

Cube decision
2-ply cubeless equity		+0.091
	0.546 0.000 0.000 – 0.454 0.000 0.000
Cubeful equities:
1.	No double	+0.190
2.	Double, pass	+1.000	+0.810
3.	Double, take	-0.059	-0.249
Proper cube action:		No redouble, beaver (23.5%)

10 CL ND NR D/R 433 0.486 0.581 0.593 0.949 442 0.508 0.603 0.615 0.992 532 0.553 0.617 0.621 1.103 541 0.554 0.618 0.622 1.105 622 0.383 0.448 0.477 0.712 631 0.558 0.633 0.645 1.093

11 CL ND NR D/RD 443 0.354 0.429 0.475 0.617 533 0.340 0.351 0.408 0.573 542 0.420 0.504 0.530 0.797 551 0.265 0.268 0.330 0.413 632 0.386 0.441 0.480 0.703 641 0.392 0.437 0.486 0.689

12 CL ND NRD D/RD 444 0.117 0.128 0.228 0.035 543 0.293 0.335 0.399 0.470 552 0.163 0.276 0.207 0.197 633 0.202 0.141 0.256 0.174 642 0.291 0.335 0.409 0.439 651 0.256 0.249 0.338 0.338

Legend
CL:	cubeless
ND:	no double
NR:	no redouble
D:	double
RD:	redouble
Green:	redouble/take
Orange:	initial double/take
Red:	redouble/pass

Some conclusions

• All positions with 9 or less pips (6 behind) are a redouble/pass.
• Three positions with 10 pips (7 behind) are a redouble/pass (433, 442 and 622 are redouble/take).
• All positions with 11 pips (8 behind) are a redouble/take.
• Most positions with 12 pip (9 behind) are a redouble/take (552 and 633 are initial doubles, 444 is no double).
• Most positions with 13 or more pips (10 behind) are a no double/beaver (643 is no double/take).