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interests / rec.games.backgammon / Hit or make the 3pt?

SubjectAuthor
* Hit or make the 3pt?Timothy Chow
`- Rollout: Hit or make the 3pt?Timothy Chow

1
Hit or make the 3pt?

<t0dg6e$uos$2@dont-email.me>

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https://www.novabbs.com/interests/article-flat.php?id=8356&group=rec.games.backgammon#8356

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Path: i2pn2.org!i2pn.org!eternal-september.org!reader02.eternal-september.org!.POSTED!not-for-mail
From: tchow12...@yahoo.com (Timothy Chow)
Newsgroups: rec.games.backgammon
Subject: Hit or make the 3pt?
Date: Thu, 10 Mar 2022 13:31:41 -0500
Organization: A noiseless patient Spider
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 by: Timothy Chow - Thu, 10 Mar 2022 18:31 UTC

XGID=-aB-CBD--A--bA-b-a-bb-bcB-:0:0:1:63:0:0:0:0:10

X:Player 1 O:Player 2
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 O O X |
| O | | O O O O X |
| | | O |
| | | |
| | | |
| |BAR| |
| | | |
| | | X |
| | | X X |
| O | | X X X X |
| O X | | X X X X O |
+12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count X: 120 O: 112 X-O: 0-0
Cube: 1
X to play 63

---
Tim Chow

Rollout: Hit or make the 3pt?

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From: tchow12...@yahoo.com (Timothy Chow)
Newsgroups: rec.games.backgammon
Subject: Rollout: Hit or make the 3pt?
Date: Sat, 12 Mar 2022 17:09:47 -0500
Organization: A noiseless patient Spider
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 by: Timothy Chow - Sat, 12 Mar 2022 22:09 UTC

XGID=-aB-CBD--A--bA-b-a-bb-bcB-:0:0:1:63:0:0:0:0:10

X:Player 1 O:Player 2
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 O O X |
| O | | O O O O X |
| | | O |
| | | |
| | | |
| |BAR| |
| | | |
| | | X |
| | | X X |
| O | | X X X X |
| O X | | X X X X O |
+12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count X: 120 O: 112 X-O: 0-0
Cube: 1
X to play 63

The subject line is a little tricky, because it makes it sound like
X's only material decision is whether to hit or make the 3pt, but in
fact, X also has to decide how to play the 6 if he hits. In a pure
blitz, bringing down another builder with 13/7 is usually better than
moving a back checker, but this is not a pure blitz. If X plays
13/7 4/1* then he disconnects his checkers and risks crunching his
board if he doesn't roll well. 24/18 4/1* leaves five blots around
the board and loses a lot of gammons when things go south, but it's
the only viable play according to the rollout below.

But what about making the 3pt? O's blot in the outfield makes hitting
much more attractive; if things go well, then X can pick up a second
blot, and on the other hand if X plays quietly, then that blot gives
O several good point-making rolls. If that blot were on O's midpoint,
then the decision would be delicate, as the variants below indicate.

1. Rollout¹ 24/18 4/1* eq:+0.093
Player: 51.47% (G:27.74% B:0.58%)
Opponent: 48.53% (G:25.64% B:4.19%)
Confidence: ±0.009 (+0.085..+0.102) - [100.0%]

2. Rollout¹ 9/3 6/3 eq:-0.050 (-0.143)
Player: 47.92% (G:17.52% B:0.42%)
Opponent: 52.08% (G:14.95% B:1.17%)
Confidence: ±0.011 (-0.061..-0.038) - [0.0%]

3. Rollout¹ 13/7 4/1* eq:-0.104 (-0.198)
Player: 45.53% (G:21.23% B:0.34%)
Opponent: 54.47% (G:19.95% B:2.43%)
Confidence: ±0.013 (-0.118..-0.091) - [0.0%]

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

eXtreme Gammon Version: 2.19.207.pre-release

---------
Variant 1
---------

XGID=-aB-CBD--A--cA-b---bb-bcB-:0:0:1:63:0:0:0:0:10

X:Player 1 O:Player 2
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 O X |
| O | | O O O O X |
| | | O |
| | | |
| | | |
| |BAR| |
| | | |
| | | X |
| O | | X X |
| O | | X X X X |
| O X | | X X X X O |
+12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count X: 120 O: 117 X-O: 0-0
Cube: 1
X to play 63

1. Rollout¹ 24/18 4/1* eq:+0.023
Player: 49.27% (G:22.37% B:0.36%)
Opponent: 50.73% (G:24.99% B:3.96%)
Confidence: ±0.013 (+0.010..+0.035) - [100.0%]

2. Rollout¹ 9/3 6/3 eq:-0.011 (-0.034)
Player: 48.26% (G:19.49% B:0.44%)
Opponent: 51.74% (G:14.12% B:1.02%)
Confidence: ±0.012 (-0.023..+0.001) - [0.0%]

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

eXtreme Gammon Version: 2.19.207.pre-release

---------
Variant 2
---------

XGID=-aB-CBD--A--cA-b---bb-cbB-:0:0:1:63:0:0:0:0:10

X:Player 1 O:Player 2
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 O X |
| O | | O O O O X |
| | | O |
| | | |
| | | |
| |BAR| |
| | | |
| | | X |
| O | | X X |
| O | | X X X X |
| O X | | X X X X O |
+12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count X: 120 O: 118 X-O: 0-0
Cube: 1
X to play 63

1. Rollout¹ 9/3 6/3 eq:-0.034
Player: 47.77% (G:19.10% B:0.44%)
Opponent: 52.23% (G:14.25% B:1.01%)
Confidence: ±0.012 (-0.046..-0.022) - [100.0%]

2. Rollout¹ 24/18 4/1* eq:-0.096 (-0.062)
Player: 46.92% (G:21.19% B:0.36%)
Opponent: 53.08% (G:28.13% B:4.70%)
Confidence: ±0.015 (-0.111..-0.081) - [0.0%]

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

eXtreme Gammon Version: 2.19.207.pre-release

---
Tim Chow

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