Petter asked for an example of a double/beaver.
Money Game. Blue on roll.
| White | 270 |
|---|---|
| |
| Blue | 37 |
Position ID: AIC7uwPf94AAAA Match ID: cAkAAAAAAAAA | |
Blue rolls a 6 on 11/36 rolls and wins a gammon, otherwise gets doubled out.
ND -> Blue wins 11-25 = -14 points in 36 games -> equity -0.388
DT -> Blue wins 11*4 - 25-2 = -6 points in 36 games -> equity -0.166
DB -> Blue wins 11*8 - 25*4 = -12 points in 36 games -> equity -0.332
Gnubg is no help here, since Gnubg 2-ply thinks Blue's double is a take and White's redouble is a beaver.
Blue's double:
Annotation
Cube analysis
4-ply cubeless equity +0.551
0.531 0.523 0.000 - 0.469 0.034 0.000
Cubeful equities:
1. Double, take +0.781
2. Double, pass +1.000 ( +0.219)
3. No double +0.135 ( -0.647)
Proper cube action: Double, take
Cube analysis
3-ply cubeless equity +1.214
0.775 0.665 0.001 - 0.225 0.001 0.000
Cubeful equities:
1. Double, pass +1.000
2. Double, take +2.275 ( +1.275)
3. No double +0.894 ( -0.106)
Proper cube action: Double, pass
White's redouble:
Annotation
Cube analysis
4-ply cubeless equity -0.142
0.567 0.011 0.000 - 0.433 0.285 0.000
Cubeful equities:
1. No double +0.055
2. Double, pass +1.000 ( +0.945)
3. Double, take -0.596 ( -0.651)
Proper cube action: No redouble, beaver (40.8%)
Cube analysis
3-ply cubeless equity +0.343
0.754 0.073 0.002 - 0.246 0.238 0.000
Cubeful equities:
1. No double +0.640
2. Double, pass +1.000 ( +0.360)
3. Double, take +0.547 ( -0.093)
Proper cube action: No redouble, take (20.5%)
4-ply cubeless equity -0.142
0.567 0.011 0.000 - 0.433 0.285 0.000
Cubeful equities:
1. No double +0.055
2. Double, pass +1.000 ( +0.945)
3. Double, take -0.596 ( -0.651)
Proper cube action: No redouble, beaver (40.8%)
Cube analysis
3-ply cubeless equity +0.343
0.754 0.073 0.002 - 0.246 0.238 0.000
Cubeful equities:
1. No double +0.640
2. Double, pass +1.000 ( +0.360)
3. Double, take +0.547 ( -0.093)
Proper cube action: No redouble, take (20.5%)