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interests / rec.games.backgammon / How to contain a checker 2

SubjectAuthor
* How to contain a checker 2Timothy Chow
+- Re: How to contain a checker 2ah...Clem
`- Rollout: How to contain a checker 2Timothy Chow

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How to contain a checker 2

<ufh5hs$3itl2$2@dont-email.me>

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Path: i2pn2.org!i2pn.org!eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail
From: tchow12...@yahoo.com (Timothy Chow)
Newsgroups: rec.games.backgammon
Subject: How to contain a checker 2
Date: Tue, 3 Oct 2023 09:39:07 -0400
Organization: A noiseless patient Spider
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 by: Timothy Chow - Tue, 3 Oct 2023 13:39 UTC

XGID=--aBCBB----AbB---b-bbbCbb-:1:1:1:31:0:0:0:0:10

Score is X:0 O:0. Unlimited Game
+13-14-15-16-17-18------19-20-21-22-23-24-+
| X O | | O O O X O O |
| X O | | O O O X O O |
| | | X |
| | | |
| | | |
| |BAR| |
| | | |
| | | |
| | | X | +---+
| O | | X X X X | | 2 |
| O X | | X X X X O | +---+
+12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count X: 143 O: 101 X-O: 0-0
Cube: 2, X own cube
X to play 31

---
Tim Chow

Re: How to contain a checker 2

<ufh9sl$3jqnh$1@dont-email.me>

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From: ah_c...@ymail.com (ah...Clem)
Newsgroups: rec.games.backgammon
Subject: Re: How to contain a checker 2
Date: Tue, 3 Oct 2023 10:53:07 -0400
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In-Reply-To: <ufh5hs$3itl2$2@dont-email.me>
 by: ah...Clem - Tue, 3 Oct 2023 14:53 UTC

On 10/3/2023 9:39 AM, Timothy Chow wrote:
> XGID=--aBCBB----AbB---b-bbbCbb-:1:1:1:31:0:0:0:0:10
>
> Score is X:0 O:0. Unlimited Game
>  +13-14-15-16-17-18------19-20-21-22-23-24-+
>  | X           O    |   | O  O  O  X  O  O |
>  | X           O    |   | O  O  O  X  O  O |
>  |                  |   |          X       |
>  |                  |   |                  |
>  |                  |   |                  |
>  |                  |BAR|                  |
>  |                  |   |                  |
>  |                  |   |                  |
>  |                  |   |       X          | +---+
>  | O                |   | X  X  X  X       | | 2 |
>  | O  X             |   | X  X  X  X  O    | +---+
>  +12-11-10--9--8--7-------6--5--4--3--2--1-+
> Pip count  X: 143  O: 101 X-O: 0-0
> Cube: 2, X own cube
> X to play 31

I'll make the ten point here. 11/10 4/1 leaves fewer shots, but this
far back in the race I want to maintain contact. Making the ten means
she has to break her midpoint to hit, while 11/7 allows her to escape
with tempo.

Rollout: How to contain a checker 2

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From: tchow12...@yahoo.com (Timothy Chow)
Newsgroups: rec.games.backgammon
Subject: Rollout: How to contain a checker 2
Date: Thu, 5 Oct 2023 09:54:07 -0400
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 by: Timothy Chow - Thu, 5 Oct 2023 13:54 UTC

XGID=--aBCBB----AbB---b-bbbCbb-:1:1:1:31:0:0:0:0:10

Score is X:0 O:0. Unlimited Game
+13-14-15-16-17-18------19-20-21-22-23-24-+
| X O | | O O O X O O |
| X O | | O O O X O O |
| | | X |
| | | |
| | | |
| |BAR| |
| | | |
| | | |
| | | X | +---+
| O | | X X X X | | 2 |
| O X | | X X X X O | +---+
+12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count X: 143 O: 101 X-O: 0-0
Cube: 2, X own cube
X to play 31

This is perhaps an even scarier version of the previous problem, since
O has a five-point board, and getting hit is very painful. If X had a
plausible safe play, then he would probably make it, but the only "safe"
play here is 11/10 4/1, which still leaves 6 shots, and misplaces a
blot on the 1pt. Making a bid for a five-prime with 11/7 is the best
way to win. And the "safe" 11/10 4/1 still loses plenty of gammons.

1. Rollout¹ 11/7 eq:-0.183
Player: 39.78% (G:8.41% B:0.28%)
Opponent: 60.22% (G:22.41% B:0.37%)
Confidence: ±0.008 (-0.191..-0.174) - [100.0%]

2. Rollout¹ 11/8 4/3 eq:-0.237 (-0.055)
Player: 38.66% (G:7.95% B:0.26%)
Opponent: 61.34% (G:24.59% B:0.45%)
Confidence: ±0.008 (-0.245..-0.230) - [0.0%]

3. Rollout¹ 11/10 4/1 eq:-0.285 (-0.102)
Player: 35.93% (G:6.38% B:0.17%)
Opponent: 64.07% (G:20.37% B:0.49%)
Confidence: ±0.007 (-0.292..-0.278) - [0.0%]

4. Rollout¹ 13/10 11/10 eq:-0.325 (-0.142)
Player: 34.69% (G:5.87% B:0.21%)
Opponent: 65.31% (G:21.18% B:0.44%)
Confidence: ±0.007 (-0.332..-0.317) - [0.0%]

¹ 1296 Games rolled with Variance Reduction.
Dice Seed: 271828
Moves: 3-ply, cube decisions: XG Roller

eXtreme Gammon Version: 2.19.211.pre-release

-------
Variant
-------

XGID=--aBCBB----AbB----bbCbbbb-:1:1:1:31:0:0:0:0:10

Score is X:0 O:0. Unlimited Game
+13-14-15-16-17-18------19-20-21-22-23-24-+
| X O | | O X O O O O |
| X O | | O X O O O O |
| | | X |
| | | |
| | | |
| |BAR| |
| | | |
| | | |
| | | X | +---+
| O | | X X X X | | 2 |
| O X | | X X X X O | +---+
+12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count X: 137 O: 95 X-O: 0-0
Cube: 2, X own cube
X to play 31

1. Rollout¹ 20/16 eq:-0.014
Player: 46.01% (G:9.72% B:0.34%)
Opponent: 53.99% (G:22.93% B:0.22%)
Confidence: ±0.009 (-0.023..-0.005) - [91.6%]

2. Rollout¹ 11/7 eq:-0.022 (-0.008)
Player: 44.46% (G:9.34% B:0.31%)
Opponent: 55.54% (G:18.90% B:0.10%)
Confidence: ±0.008 (-0.030..-0.014) - [8.4%]

¹ 1296 Games rolled with Variance Reduction.
Dice Seed: 271828
Moves: 3-ply, cube decisions: XG Roller

eXtreme Gammon Version: 2.19.211.pre-release

---
Tim Chow

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