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Follow-up to cube problem

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Timothy Chow

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May 30, 2023, 8:26:45 AM5/30/23
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This is the checker play that I faced after the 3-away/7-away cube
decision I just posted about. Note that I've changed the score to
money. It turns out not to affect the checker play very much.

XGID=-ABBBBBa-----Ba----cBb--h-:1:-1:1:64:0:0:0:0:10

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 | +---+
| X | | O X O O | | 2 |
| | | O O | +---+
| | | O |
| | | 8 |
| |BAR| |
| | | |
| | | |
| | | |
| | | X X X X X |
| O | | X X X X X X |
+12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count X: 107 O: 63 X-O: 0-0
Cube: 2, O own cube
X to play 64

---
Tim Chow

Timothy Chow

unread,
Jun 1, 2023, 7:47:38 AM6/1/23
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XGID=-ABBBBBa-----Ba----cBb--h-:1:-1:1:64:0:0:0:0:10

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 | +---+
| X | | O X O O | | 2 |
| | | O O | +---+
| | | O |
| | | 8 |
| |BAR| |
| | | |
| | | |
| | | |
| | | X X X X X |
| O | | X X X X X X |
+12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count X: 107 O: 63 X-O: 0-0
Cube: 2, O own cube
X to play 64

I wanted to go directly for a six-prime and/or a closeout, so I hit with
13/7*. But a better strategy is to increase my chances of hitting both
blots.

1. Rollout¹ 20/14* 14/10 eq:+1.222
Player: 92.57% (G:39.63% B:1.43%)
Opponent: 7.43% (G:1.61% B:0.01%)
Confidence: ±0.005 (+1.217..+1.227) - [99.8%]

2. Rollout¹ 20/16 20/14* eq:+1.211 (-0.011)
Player: 92.53% (G:39.17% B:1.41%)
Opponent: 7.47% (G:1.58% B:0.00%)
Confidence: ±0.005 (+1.205..+1.216) - [0.2%]

3. Rollout¹ 20/14* 13/9 eq:+1.141 (-0.080)
Player: 90.62% (G:38.69% B:1.40%)
Opponent: 9.38% (G:3.41% B:0.03%)
Confidence: ±0.006 (+1.136..+1.147) - [0.0%]

4. Rollout¹ 13/7* 7/3 eq:+1.141 (-0.081)
Player: 90.81% (G:36.57% B:1.26%)
Opponent: 9.19% (G:2.15% B:0.03%)
Confidence: ±0.005 (+1.136..+1.145) - [0.0%]

5. Rollout¹ 13/9 13/7* eq:+1.109 (-0.113)
Player: 90.35% (G:36.09% B:1.20%)
Opponent: 9.65% (G:3.48% B:0.01%)
Confidence: ±0.006 (+1.103..+1.115) - [0.0%]

6. Rollout¹ 20/16 13/7* eq:+1.089 (-0.132)
Player: 90.01% (G:36.41% B:1.20%)
Opponent: 9.99% (G:5.00% B:0.07%)
Confidence: ±0.006 (+1.084..+1.095) - [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

---
Tim Chow
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