Player on roll is 4 pips behind
In this section we take a look at positions where the player on roll is behind 4 pips. Listed are positions from 10-6, 11-7, 12-8, 13-9, 14-10 and 15-11 pips.
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Pip counts: gnubg 6, ace 10
Position ID: FQAAIAMAAAAAAA Match ID: UQkAAAAAAAAA
• ace doubles
| Cube decision | |||
|---|---|---|---|
| 2-ply cubeless equity | +0.553 | ||
| 0.776 0.000 0.000 – 0.224 0.000 0.000 | |||
| Cubeful equities: | |||
| 1. | Double, pass | +1.000 | |
| 2. | Double, take | +1.085 | +0.085 |
| 3. | No double | +0.663 | -0.337 |
| Proper cube action: | Redouble, pass | ||
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Pip counts: gnubg 7, ace 11
Position ID: FgAAEAYAAAAAAA Match ID: UQkAAAAAAAAA
• ace doubles
| Cube decision | |||
|---|---|---|---|
| 2-ply cubeless equity | +0.305 | ||
| 0.652 0.000 0.000 – 0.348 0.000 0.000 | |||
| Cubeful equities: | |||
| 1. | Double, take | +0.496 | |
| 2. | Double, pass | +1.000 | +0.504 |
| 3. | No double | +0.372 | -0.124 |
| Proper cube action: | Redouble, take | ||
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Pip counts: gnubg 7, ace 11
Position ID: GQAAIAUAAAAAAA Match ID: UQkAAAAAAAAA
• ace doubles
| Cube decision | |||
|---|---|---|---|
| 2-ply cubeless equity | +0.505 | ||
| 0.753 0.000 0.000 – 0.247 0.000 0.000 | |||
| Cubeful equities: | |||
| 1. | Double, take | +0.975 | |
| 2. | Double, pass | +1.000 | +0.025 |
| 3. | No double | +0.621 | -0.354 |
| Proper cube action: | Redouble, take | ||
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Pip counts: gnubg 8, ace 12
Position ID: KQAAIAkAAAAAAA Match ID: UQkAAAAAAAAA
• ace doubles
| Cube decision | |||
|---|---|---|---|
| 2-ply cubeless equity | +0.373 | ||
| 0.686 0.000 0.000 – 0.314 0.000 0.000 | |||
| Cubeful equities: | |||
| 1. | Double, take | +0.615 | |
| 2. | Double, pass | +1.000 | +0.385 |
| 3. | No double | +0.496 | -0.119 |
| Proper cube action: | Redouble, take | ||
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Pip counts: gnubg 8, ace 12
Position ID: GgAAIAYAAAAAAA Match ID: UQkAAAAAAAAA
• ace doubles
| Cube decision | |||
|---|---|---|---|
| 2-ply cubeless equity | +0.252 | ||
| 0.626 0.000 0.000 – 0.374 0.000 0.000 | |||
| Cubeful equities: | |||
| 1. | No double | +0.367 | |
| 2. | Double, pass | +1.000 | +0.633 |
| 3. | Double, take | +0.356 | -0.011 |
| Proper cube action: | No redouble, take (1.7%) | ||
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Pip counts: gnubg 9, ace 13
Position ID: SQAAQAkAAAAAAA Match ID: UQkAAAAAAAAA
• ace doubles
| Cube decision | |||
|---|---|---|---|
| 2-ply cubeless equity | +0.239 | ||
| 0.620 0.000 0.000 – 0.380 0.000 0.000 | |||
| Cubeful equities: | |||
| 1. | No double | +0.333 | |
| 2. | Double, pass | +1.000 | +0.667 |
| 3. | Double, take | +0.246 | -0.087 |
| Proper cube action: | No redouble, take (11.5%) | ||
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Pip counts: gnubg 9, ace 13
Position ID: MQAAQAkAAAAAAA Match ID: UQkAAAAAAAAA
• ace doubles
| Cube decision | |||
|---|---|---|---|
| 2-ply cubeless equity | +0.305 | ||
| 0.652 0.000 0.000 – 0.348 0.000 0.000 | |||
| Cubeful equities: | |||
| 1. | Double, take | +0.450 | |
| 2. | Double, pass | +1.000 | +0.550 |
| 3. | No double | +0.402 | -0.049 |
| Proper cube action: | Redouble, take | ||
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Pip counts: gnubg 10, ace 14
Position ID: MgAAQAoAAAAAAA Match ID: UQkAAAAAAAAA
• ace doubles
| Cube decision | |||
|---|---|---|---|
| 2-ply cubeless equity | +0.174 | ||
| 0.587 0.000 0.000 – 0.413 0.000 0.000 | |||
| Cubeful equities: | |||
| 1. | No double | +0.266 | |
| 2. | Double, pass | +1.000 | +0.734 |
| 3. | Double, take | +0.102 | -0.164 |
| Proper cube action: | No redouble, take (18.2%) | ||
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Pip counts: gnubg 11, ace 15
Position ID: YQAAgAoAAAAAAA Match ID: UQkAAAAAAAAA
• ace doubles
| Cube decision | |||
|---|---|---|---|
| 2-ply cubeless equity | +0.179 | ||
| 0.590 0.000 0.000 – 0.410 0.000 0.000 | |||
| Cubeful equities: | |||
| 1. | No double | +0.280 | |
| 2. | Double, pass | +1.000 | +0.720 |
| 3. | Double, take | +0.222 | -0.058 |
| Proper cube action: | No redouble, take (7.4%) | ||
Some conclusions:
- It looks like all positions with 10 or less pips at the rollers side are a redouble/pass.
- All positions with 11-7 pips are a redouble/take.
- With a pipcount of 12-8 I found only one position (552-332) which is no double/take. All others are a redouble/take.
- Most positions with a pipcount of 13-9 are a no double/take. Only 643-441 and 643-333 are a redouble/take because of the opponents bd (bad distribution).
- Most positions with a pipcount of 14-10 are a no double/take. If the opponent has a gd (good checker distribution, i.e. 631) it’s yet a no double/beaver.
- Nearly all positions with 15-11 pips are a no double/beaver. Only 654-551 (bd for opponent!) is a no double take.
