Discussion:
Double 1's
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Timothy Chow
2024-02-17 21:49:09 UTC
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XGID=-aB---D-B--AeD---c-ea--AA-:0:0:1:11:0:0:0:0:10

Score is X:0 O:0. Unlimited Game
+13-14-15-16-17-18------19-20-21-22-23-24-+
| X O | | O O X X |
| X O | | O |
| X O | | O |
| X | | O |
| | | O |
| |BAR| |
| O | | |
| O | | X |
| O | | X |
| O X | | X X |
| O X X | | X X O |
+12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count X: 154 O: 148 X-O: 0-0
Cube: 1
X to play 11

---
Tim Chow
Timothy Chow
2024-02-20 14:14:33 UTC
Permalink
XGID=-aB---D-B--AeD---c-ea--AA-:0:0:1:11:0:0:0:0:10

Score is X:0 O:0. Unlimited Game
+13-14-15-16-17-18------19-20-21-22-23-24-+
| X O | | O O X X |
| X O | | O |
| X O | | O |
| X | | O |
| | | O |
| |BAR| |
| O | | |
| O | | X |
| O | | X |
| O X | | X X |
| O X X | | X X O |
+12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count X: 154 O: 148 X-O: 0-0
Cube: 1
X to play 11

Hitting your opponent's 5pt slot is usually better than switching points
to hit on your own 1pt. Here, though, switching points is accompanied by
making our own 5pt and also gives us a good chance of hitting *both*
blots. For comparison, see the variant below.

1. Rollout¹ 6/5(2) 2/1*(2) eq:+0.377
Player: 55.86% (G:24.39% B:0.42%)
Opponent: 44.14% (G:10.51% B:0.51%)
Confidence: ±0.016 (+0.360..+0.393) - [100.0%]

2. Rollout¹ 23/20* 11/10 eq:+0.302 (-0.075)
Player: 56.12% (G:19.46% B:0.79%)
Opponent: 43.88% (G:10.33% B:0.45%)
Confidence: ±0.015 (+0.287..+0.317) - [0.0%]

3. Rollout¹ 24/20* eq:+0.286 (-0.091)
Player: 55.96% (G:18.36% B:0.83%)
Opponent: 44.04% (G:10.35% B:0.45%)
Confidence: ±0.014 (+0.272..+0.299) - [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=-aB---D-B--AeD---c-ea---B-:0:0:1:11:0:0:0:0:10

Score is X:0 O:0. Unlimited Game
+13-14-15-16-17-18------19-20-21-22-23-24-+
| X O | | O O X |
| X O | | O X |
| X O | | O |
| X | | O |
| | | O |
| |BAR| |
| O | | |
| O | | X |
| O | | X |
| O X | | X X |
| O X X | | X X O |
+12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count X: 155 O: 148 X-O: 0-0
Cube: 1
X to play 11

1. Rollout¹ 24/20* eq:+0.298
Player: 55.93% (G:18.69% B:0.72%)
Opponent: 44.07% (G:9.96% B:0.47%)
Confidence: ±0.013 (+0.285..+0.311) - [100.0%]

2. Rollout¹ 6/5(2) 2/1*(2) eq:+0.224 (-0.074)
Player: 52.92% (G:22.84% B:0.48%)
Opponent: 47.08% (G:11.47% B:0.62%)
Confidence: ±0.016 (+0.207..+0.240) - [0.0%]
Duration: 5 minutes 46 seconds

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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