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5pt vs 4pt

Posted By: Timothy Chow
Date: Wednesday, 16 August 2023, at 1:13 a.m.

Dmitriy Obukhov recently asked about "4pt or 5pt?" rules of thumb. I'm not sure I have any great rules of thumb, but I do have some raw material for people to chew on. The theme I'm trying to illustrate below is "making the 5pt and leaving a double shot versus making the 4pt and leaving (almost) no shots." I show 11 examples below, but I have more examples if anyone wants to see them.


1





White is Player 2

score: 0
pip: 166
Unlimited Game
pip: 160
score: 0

Blue is Player 1
XGID=aa--A-E-B-A-dDa--c-e----B-:0:0:1:51:0:0:0:0:10
Blue to play 51

1.Rollout110/5 6/5eq: +0.355
Player:
Opponent:
57.19% (G:20.35% B:1.03%)
42.81% (G:11.31% B:0.59%)
Conf.: ± 0.018 (+0.337...+0.373) - [100.0%]
Duration: 27 minutes 39 seconds
2.Rollout110/4eq: +0.274 (-0.081)
Player:
Opponent:
55.59% (G:19.99% B:1.01%)
44.41% (G:11.63% B:0.55%)
Conf.: ± 0.016 (+0.258...+0.289) - [0.0%]
Duration: 25 minutes 01 second
 
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


2





White is Player 2

score: 0
pip: 160
Unlimited Game
pip: 153
score: 0

Blue is Player 1
XGID=-b--aAE-D----Cb--ccd---AA-:0:0:1:21:0:0:0:0:10
Blue to play 21

1.Rollout16/5 6/4* eq: +0.250
Player:
Opponent:
55.70% (G:18.81% B:1.42%)
44.30% (G:13.74% B:0.85%)
Conf.: ± 0.017 (+0.233...+0.266) - [100.0%]
Duration: 25 minutes 06 seconds
2.Rollout16/4* 5/4eq: +0.159 (-0.091)
Player:
Opponent:
53.42% (G:17.86% B:1.22%)
46.58% (G:13.04% B:0.64%)
Conf.: ± 0.018 (+0.141...+0.177) - [0.0%]
Duration: 23 minutes 43 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


3





White is Player 2

score: 0
pip: 161
Unlimited Game
pip: 162
score: 0

Blue is Player 1
XGID=-aa-A-D-C-A-dD--ac-da---B-:0:0:1:51:0:0:0:0:10
Blue to play 51

1.Rollout110/5 6/5eq: +0.003
Player:
Opponent:
49.77% (G:15.70% B:0.87%)
50.23% (G:15.74% B:0.92%)
Conf.: ± 0.015 (-0.012...+0.017) - [100.0%]
Duration: 26 minutes 32 seconds
2.Rollout110/4eq: -0.055 (-0.058)
Player:
Opponent:
48.29% (G:16.34% B:0.81%)
51.71% (G:15.85% B:0.77%)
Conf.: ± 0.015 (-0.070...-0.040) - [0.0%]
Duration: 23 minutes 38 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


4





White is Player 2

score: 0
pip: 159
Unlimited Game
pip: 158
score: 0

Blue is Player 1
XGID=-a--AaE-C---cDb--c-e----B-:0:0:1:31:0:0:0:0:10
Blue to play 31

1.Rollout18/5* 6/5eq: +0.246
Player:
Opponent:
54.62% (G:19.88% B:0.94%)
45.38% (G:12.23% B:0.74%)
Conf.: ± 0.015 (+0.230...+0.261) - [100.0%]
Duration: 26 minutes 00 second
2.Rollout18/5* 5/4eq: +0.194 (-0.051)
Player:
Opponent:
53.60% (G:18.96% B:0.74%)
46.40% (G:11.99% B:0.59%)
Conf.: ± 0.015 (+0.179...+0.210) - [0.0%]
Duration: 24 minutes 36 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


5





White is Player 2

score: 0
pip: 182
Unlimited Game
pip: 148
score: 0

Blue is Player 1
XGID=-aaaAaE-C---cDA--c-e----A-:0:0:1:31:0:0:0:0:10
Blue to play 31

1.Rollout18/5* 6/5eq: +0.634
Player:
Opponent:
62.95% (G:24.69% B:1.87%)
37.05% (G:8.44% B:0.40%)
Conf.: ± 0.008 (+0.626...+0.642) - [100.0%]
Duration: 1 hour 47 minutes
2.Rollout18/5* 5/4eq: +0.603 (-0.031)
Player:
Opponent:
61.82% (G:24.86% B:1.85%)
38.18% (G:8.42% B:0.37%)
Conf.: ± 0.009 (+0.594...+0.612) - [0.0%]
Duration: 1 hour 49 minutes
 
1 5184 Games rolled with Variance Reduction.
Dice Seed: 271828
Moves: 3-ply, cube decisions: XG Roller

eXtreme Gammon Version: 2.19.211.pre-release


6





White is Player 2

score: 0
pip: 154
Unlimited Game
pip: 153
score: 0

Blue is Player 1
XGID=-a--AaD-C---bFb--d-e---A--:0:0:1:31:0:0:0:0:10
Blue to play 31

1.Rollout18/5* 5/4eq: +0.309
Player:
Opponent:
57.08% (G:16.75% B:0.77%)
42.92% (G:10.78% B:0.42%)
Conf.: ± 0.012 (+0.297...+0.320) - [100.0%]
Duration: 25 minutes 26 seconds
2.Rollout18/5* 6/5eq: +0.237 (-0.071)
Player:
Opponent:
55.62% (G:16.95% B:0.86%)
44.38% (G:12.56% B:0.54%)
Conf.: ± 0.015 (+0.222...+0.252) - [0.0%]
Duration: 27 minutes 17 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


7





White is Player 2

score: 0
pip: 147
Unlimited Game
pip: 163
score: 0

Blue is Player 1
XGID=-a--aBD-BA--cC--Abcc-b--AA:0:0:1:11:0:0:0:0:10
Blue to play 11

1.Rollout1Bar/23 6/4* eq: -0.368
Player:
Opponent:
43.35% (G:12.35% B:0.63%)
56.65% (G:25.55% B:2.75%)
Conf.: ± 0.009 (-0.376...-0.359) - [86.1%]
Duration: 1 hour 41 minutes
2.Rollout1Bar/24 16/15 6/4* eq: -0.376 (-0.009)
Player:
Opponent:
42.95% (G:12.60% B:0.61%)
57.05% (G:24.03% B:2.89%)
Conf.: ± 0.009 (-0.386...-0.367) - [7.8%]
Duration: 1 hour 34 minutes
3.Rollout1Bar/24 9/8 6/4* eq: -0.377 (-0.009)
Player:
Opponent:
42.24% (G:12.27% B:0.56%)
57.76% (G:22.25% B:2.15%)
Conf.: ± 0.009 (-0.386...-0.368) - [6.0%]
Duration: 1 hour 34 minutes
4.Rollout2Bar/23 5/4*(2) eq: -0.415 (-0.047)
Player:
Opponent:
40.73% (G:12.53% B:0.55%)
59.27% (G:22.41% B:1.59%)
Conf.: ± 0.019 (-0.434...-0.395) - [0.0%]
Duration: 23 minutes 44 seconds
 
1 5184 Games rolled with Variance Reduction.
Dice Seed: 271828
Moves: 3-ply, cube decisions: XG Roller

2 1296 Games rolled with Variance Reduction.
Dice Seed: 271828
Moves: 3-ply, cube decisions: XG Roller

eXtreme Gammon Version: 2.19.211.pre-release


8





White is Player 2

score: 0
pip: 157
Unlimited Game
pip: 164
score: 0

Blue is Player 1
XGID=-a---aEAB--AcD-b-c-e----B-:0:0:1:22:0:0:0:0:10
Blue to play 22

1.Rollout113/11 7/5* 6/4(2)eq: +0.255
Player:
Opponent:
55.21% (G:19.12% B:0.89%)
44.79% (G:13.02% B:0.87%)
Conf.: ± 0.008 (+0.247...+0.263) - [100.0%]
Duration: 1 hour 53 minutes
2.Rollout111/5* 7/5eq: +0.236 (-0.020)
Player:
Opponent:
54.76% (G:18.85% B:0.75%)
45.24% (G:11.69% B:0.59%)
Conf.: ± 0.008 (+0.228...+0.243) - [0.0%]
Duration: 1 hour 40 minutes
 
1 5184 Games rolled with Variance Reduction.
Dice Seed: 271828
Moves: 3-ply, cube decisions: XG Roller

eXtreme Gammon Version: 2.19.211.pre-release


9





White is Player 2

score: 0
pip: 139
Unlimited Game
pip: 144
score: 0

Blue is Player 1
XGID=a---aADCC---aB--bbbd-bB---:0:0:1:21:0:0:0:0:10
Blue to play 21

1.Rollout16/5 6/4* eq: +0.309
Player:
Opponent:
55.92% (G:19.33% B:1.08%)
44.08% (G:12.07% B:0.58%)
Conf.: ± 0.019 (+0.290...+0.327) - [100.0%]
Duration: 17 minutes 51 seconds
2.Rollout113/12* 7/5eq: +0.224 (-0.085)
Player:
Opponent:
54.18% (G:19.24% B:1.00%)
45.82% (G:11.33% B:0.54%)
Conf.: ± 0.018 (+0.206...+0.241) - [0.0%]
Duration: 17 minutes 43 seconds
3.Rollout16/4* 5/4eq: +0.207 (-0.102)
Player:
Opponent:
53.20% (G:19.63% B:0.91%)
46.80% (G:11.09% B:0.51%)
Conf.: ± 0.018 (+0.190...+0.225) - [0.0%]
Duration: 16 minutes 36 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


10





White is Player 2

score: 0
pip: 206
Unlimited Game
pip: 163
score: 0

Blue is Player 1
XGID=-aaba-E-C---dE---c-cA---A-:0:0:1:11:0:0:0:0:10
Blue to play 11

1.Rollout16/5(2) 6/4* eq: +0.532
Player:
Opponent:
60.03% (G:22.76% B:1.46%)
39.97% (G:8.03% B:0.37%)
Conf.: ± 0.011 (+0.521...+0.544) - [100.0%]
Duration: 3 hours 15 minutes
2.Rollout124/22 6/5(2)eq: +0.475 (-0.058)
Player:
Opponent:
59.50% (G:21.38% B:1.04%)
40.50% (G:8.25% B:0.36%)
Conf.: ± 0.010 (+0.465...+0.484) - [0.0%]
Duration: 3 hours 10 minutes
3.Rollout26/4*(2) eq: +0.440 (-0.092)
Player:
Opponent:
57.96% (G:23.47% B:1.33%)
42.04% (G:8.32% B:0.32%)
Conf.: ± 0.022 (+0.418...+0.462) - [0.0%]
Duration: 48 minutes 21 seconds
 
1 5184 Games rolled with Variance Reduction.
Dice Seed: 271828
Moves: 3-ply, cube decisions: XG Roller

2 1296 Games rolled with Variance Reduction.
Dice Seed: 271828
Moves: 3-ply, cube decisions: XG Roller

eXtreme Gammon Version: 2.19.211.pre-release


11





White is Player 2

score: 0
pip: 160
Unlimited Game
pip: 160
score: 0

Blue is Player 1
XGID=-a--AaD-D---dDa--c-da---B-:0:0:1:31:0:0:0:0:10
Blue to play 31

1.Rollout18/5* 6/5eq: +0.204
Player:
Opponent:
53.86% (G:19.23% B:1.30%)
46.14% (G:13.33% B:0.77%)
Conf.: ± 0.009 (+0.195...+0.213) - [100.0%]
Duration: 1 hour 51 minutes
2.Rollout18/5* 5/4eq: +0.143 (-0.061)
Player:
Opponent:
52.36% (G:18.90% B:1.28%)
47.64% (G:13.38% B:0.63%)
Conf.: ± 0.009 (+0.134...+0.152) - [0.0%]
Duration: 1 hour 42 minutes
 
1 5184 Games rolled with Variance Reduction.
Dice Seed: 271828
Moves: 3-ply, cube decisions: XG Roller

eXtreme Gammon Version: 2.19.211.pre-release

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