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Take or Drop? Take or Drop?

06-11-2015 , 07:53 AM
Hi All,

What are your thoughts on this one:

Big take, big drop, or not much equity lost either way?

3u0GAEC2bUMAMA:
ARkAAAAAAAAA

White - Pips 113

Black - Pips 77
White doubles. Take or Pass?
Created with www.BGdiagram.com
Take or Drop? Quote
06-11-2015 , 09:50 AM
Redouble and easy take would be my guess. Gammon chances are very low, so Black doesn't need a lot more than the minimum 25% to take. Every move there's only a 30% chance that White rolls a 6 and jumps a checker, so the chance that White doesn't get a checker out in 3 turns is 70% * 70% * 70% = 35%. Black's doing very well if White doesn't roll a 6 in 3 turns, so the take should be pretty easy.

White has to double because a 6 in the first 2 turns is completely crushing, so he's definitely a favorite.
Take or Drop? Quote
06-12-2015 , 02:10 AM
Thank you Robertie, exactly and completely correct.

I almost fell of my chair when I saw this was a take. Now that i see your explanation, i realise that a minute of thought might have got me close to the correct response.

Code:
Evaluator: 	Contact


        Win     W(g)    W(bg)   L(g)    L(bg)   Equity    Cubeful  
static: 0.703   0.061   0.001   0.060   0.002    +0.405    +0.644   
 1 ply: 0.713   0.057   0.002   0.060   0.003    +0.422    +0.609   
 2 ply: 0.706   0.068   0.002   0.053   0.002    +0.427    +0.613   



Cube analysis
2-ply cubeless equity  +0.427
  0.706 0.068 0.002 - 0.294 0.053 0.002
Cubeful equities:
  2-ply cubeful prune [world class]
1. Double, take         +0.656
2. Double, pass         +1.000  ( +0.344)
3. No double            +0.613  ( -0.044)
Proper cube action: Redouble, take
Apologies, but I am only using the 2-ply evaluation here, but it gives you the idea. Basically, yes, gammon chances are negligible for either side. And it it seems as simple as that: if he throws a six in the next two or three throws, we lose pretty much 100% of the time. If he does not, it seems most of the time its a redouble / drop and we win almost 100% of the time. So no trickery in the numbers.

There is some trickery if I tweak the positions.

Just moving white's back checker forward 2 pips:

White - Pips 111

Black - Pips 77
White on roll. Cube action?
Created with www.BGdiagram.com

Code:
Evaluator: 	Contact


        Win     W(g)    W(bg)   L(g)    L(bg)   Equity    Cubeful  
static: 0.680   0.057   0.001   0.064   0.002    +0.353    +0.584   
 1 ply: 0.691   0.054   0.002   0.066   0.003    +0.369    +0.549   
 2 ply: 0.678   0.065   0.002   0.059   0.002    +0.362    +0.543   



Cube analysis
2-ply cubeless equity  +0.362
  0.678 0.065 0.002 - 0.322 0.059 0.002
Cubeful equities:
  2-ply cubeful prune [world class]
1. No double            +0.543
2. Double, pass         +1.000  ( +0.457)
3. Double, take         +0.501  ( -0.041)
Proper cube action: No redouble, take (8.3%)
Or moving black's forward most checker back 2 pips:

White - Pips 113

Black - Pips 79
White on roll. Cube action?
Created with www.BGdiagram.com

Code:
Evaluator: 	Contact


        Win     W(g)    W(bg)   L(g)    L(bg)   Equity    Cubeful  
static: 0.682   0.051   0.001   0.066   0.003    +0.348    +0.580   
 1 ply: 0.685   0.047   0.001   0.067   0.003    +0.349    +0.530   
 2 ply: 0.686   0.058   0.001   0.060   0.002    +0.370    +0.552   



Cube analysis
2-ply cubeless equity  +0.370
  0.686 0.058 0.001 - 0.314 0.060 0.002
Cubeful equities:
  2-ply cubeful prune [world class]
1. No double            +0.552
2. Double, pass         +1.000  ( +0.448)
3. Double, take         +0.523  ( -0.029)
Proper cube action: No redouble, take (6.1%)
Is its feasible that anyone would tell the difference between these three positions OTB?

Bewildering game...
Take or Drop? Quote
06-14-2015 , 08:58 AM
It's just a small error not to double in the original position. The improvements in the two positions are small, as are the weight of the cube decisions.
Take or Drop? Quote
06-17-2015 , 12:47 PM
1st modified position, I can understand why, because White could potentially buy one more roll without crunching (before rolling a 6).

2nd modified position, however, I don't really see why it goes from redouble to no redouble.
Take or Drop? Quote
06-17-2015 , 12:57 PM
Quote:
Originally Posted by Robertie
Redouble and easy take would be my guess. Gammon chances are very low, so Black doesn't need a lot more than the minimum 25% to take. Every move there's only a 30% chance that White rolls a 6 and jumps a checker, so the chance that White doesn't get a checker out in 3 turns is 70% * 70% * 70% = 35%. Black's doing very well if White doesn't roll a 6 in 3 turns, so the take should be pretty easy.

White has to double because a 6 in the first 2 turns is completely crushing, so he's definitely a favorite.
Yeah, but that doesn't account for Black rolling a 1 soon, which he has more than 50% to do within 2 rolls.
Take or Drop? Quote
06-17-2015 , 02:47 PM
Quote:
Originally Posted by uberkuber
2nd modified position, however, I don't really see why it goes from redouble to no redouble.
The main factor is the 2 extra pips of timing Black has. Bear in mind, Black's 5s and 6s will sometimes be killed so he has some chance to enter and keep his prime for awhile, especially with those 2 extra pips.

There's a smaller factor where he has a more effective attack in the variations where White cracks his 6 prime then jumps a checker. When Black enters, he has some extra attacking options in the second position.
Take or Drop? Quote

      
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