2010/09/14

The need to avoid "Double Jeopardy" is rarely exist

(Special Thanks to Karam Ashoo, who kindly corrected my english.I highlighted my mistake for a future study (of english)).
is Player 2

score: 0
pip: 91
                         
Money session
Jacoby Beaver
                          pip: 54
score: 0

is Player 1
XGID=-CCCCbB-----A---a--bbbbbb-:1:-1:1:62:0:0:3:0:10
to play 62

1.Rollout112/6 2/0ffeq: +0.921
Player:
Opponent:
95.55% (G:2.17% B:0.01%)
4.45% (G:0.00% B:0.00%)
Conf: ± 0.001 (+0.920...+0.922)
Duration: 43.6 seconds
2.Rollout112/4eq: +0.910 (-0.011)
Player:
Opponent:
95.38% (G:1.01% B:0.00%)
4.62% (G:0.02% B:0.00%)
Conf: ± 0.001 (+0.909...+0.911)
Duration: 14.6 seconds
3.XG Roller+12/6 4/2eq: +0.905 (-0.016)
Player:
Opponent:
94.90% (G:1.98% B:0.01%)
5.10% (G:0.00% B:0.00%)
4.XG Roller+12/6 3/1eq: +0.901 (-0.020)
Player:
Opponent:
94.66% (G:2.03% B:0.01%)
5.34% (G:0.00% B:0.00%)
 
1 2592 Games rolled with Variance Reduction.
Dice Seed: 1341
Moves and cube decisions: 3 ply

eXtreme Gammon Version: 1.21

I liked Kit Woolsey's article about Avoiding Double Jeopardy July-August issue 1995. Avoiding Double Jeopardy means a play that stripping the six point and leaving 6-1 and 5-1 instead of having three checkers on six point and leaving 6-5 only. ADJ is actually better is from the perspective of minimizing a shot chance in the long run.
However, Kit investigated lot lots of positions and conclude concluded that the need to avoid Double Jeopardy is very rare because of race potential and missing a chance to win Gs.

Today I revisited the positions provided by Kit and can conclude that it is even more rarer rarer than he might have thought. Position above is from Kit's article and he showed it as an example of where ADJ is right.Extreme gammon thinks the opposite. Even here ADJ is not right simply because he couldn't win as many gammons as he would with 2/off.

Even so, you should be paying attention to the score. In double match point or sort of close to it, it could easily be right to play 12/4 and ADJ, all in all, it is the safest play in terms of leaving a shot. A position below is a good example.
is Player 2

score: 0
pip: 102
                         
1 point match
                          pip: 54
score: 0

is Player 1
XGID=-CCCCcB-----A------bbbbbb-:1:-1:1:26:0:0:0:1:10
to play 26

1.Rollout112/4eq: +0.920
Player:
Opponent:
95.99% (G:26.00% B:0.00%)
4.01% (G:0.00% B:0.00%)
Conf: ± 0.001 (+0.919...+0.921)
Duration: 13.9 seconds
2.Rollout112/6 2/0ffeq: +0.913 (-0.006)
Player:
Opponent:
95.67% (G:30.81% B:0.01%)
4.33% (G:0.00% B:0.00%)
Conf: ± 0.001 (+0.912...+0.914)
Duration: 35.9 seconds
3.XG Roller12/6 4/2eq: +0.922 (+0.002)
Player:
Opponent:
96.09% (G:5.75% B:0.01%)
3.91% (G:0.00% B:0.00%)
4.XG Roller12/6 3/1eq: +0.920
Player:
Opponent:
96.01% (G:5.26% B:0.01%)
3.99% (G:0.00% B:0.00%)
 
1 1332 Games rolled with Variance Reduction.
Dice Seed: 1341
Moves and cube decisions: 3 ply

eXtreme Gammon Version: 1.21, MET: Rockwell-Kazaross

Also if two point is empty, then 6/4 would be right. It is just the safest and 4/2 won't gain as much as 2/off would.
is Player 2

score: 0
pip: 102
                         
Money session
Jacoby Beaver
                          pip: 56
score: 0

is Player 1
XGID=-D-DDcB-----A------bbbbbb-:1:-1:1:26:0:0:3:0:10
to play 26

1.Rollout112/4eq: +0.958
Player:
Opponent:
95.87% (G:4.77% B:0.00%)
4.13% (G:0.00% B:0.00%)
Conf: ± 0.001 (+0.957...+0.959)
Duration: 12.4 seconds
2.Rollout112/6 4/2eq: +0.945 (-0.013)
Player:
Opponent:
95.14% (G:5.16% B:0.00%)
4.86% (G:0.00% B:0.00%)
Conf: ± 0.001 (+0.944...+0.946)
Duration: 34.2 seconds
 
1 1508 Games rolled with Variance Reduction.
Dice Seed: 1341
Moves and cube decisions: 3 ply

eXtreme Gammon Version: 1.21

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