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Falafel Bets #3 - 21$-54D-F-64 - Rollouts & Variants

Posted By: Nack Ballard
Date: Sunday, 5 November 2017, at 2:16 p.m.

In Response To: Falafel Bets #3 - 21$-54D-F-64 (Stick)

Perhaps this position posted 12 days ago was forgotten, but not by me. :)

Several years ago, I ran across and identified a set of four positions, one of which Stick posted in this thread (the first one below).
I've updated my old-bot rollouts now to XG.

To view the four positions below as a 2x2 table, WIDEN (or maximize) your window.





White is Player 2

score: 0
pip: 184
Unlimited Game
Jacoby Beaver
pip: 158
score: 0

Blue is Player 1
XGID=ab----E-D---dDa--c-dA---A-:0:0:1:64:0:0:3:0:10

21$-54Z-F-64


1.Rollout120/14* 14/10eq: +0.571
Player:
Opponent:
60.62% (G:24.53% B:2.42%)
39.38% (G:7.89% B:0.33%)
Conf.: ± 0.007 (+0.564...+0.578) - [99.9%]
Duration: 3 hours 26 minutes
2.Rollout120/14* 13/9eq: +0.554 (-0.017)
Player:
Opponent:
60.34% (G:24.92% B:2.53%)
39.66% (G:8.14% B:0.35%)
Conf.: ± 0.007 (+0.547...+0.561) - [0.1%]
Duration: 3 hours 23 minutes
1 10368 Games rolled with Variance Reduction.
Dice Seed: 94307656
Moves: 3-ply, cube decisions: XG Roller





White is Player 2

score: 0
pip: 184
Unlimited Game
Jacoby Beaver
pip: 158
score: 0

Blue is Player 1
XGID=ab----E-D---dDa--c-dA---A-:0:0:1:63:0:0:3:0:10

21$-54Z-F-63


1.Rollout120/14* 14/11eq: +0.546
Player:
Opponent:
60.34% (G:23.71% B:2.24%)
39.66% (G:8.15% B:0.33%)
Conf.: ± 0.007 (+0.539...+0.553) - [100.0%]
Duration: 1 hour 54 minutes
2.Rollout120/14* 13/10eq: +0.524 (-0.022)
Player:
Opponent:
59.67% (G:24.18% B:2.45%)
40.33% (G:8.42% B:0.37%)
Conf.: ± 0.007 (+0.518...+0.531) - [0.0%]
Duration: 1 hour 51 minutes
1 10368 Games rolled with Variance Reduction.
Dice Seed: 13417452
Moves: 3-ply, cube decisions: XG Roller




White is Player 2

score: 0
pip: 184
Unlimited Game
Jacoby Beaver
pip: 163
score: 0

Blue is Player 1
XGID=ab----E-C---dEa--c-dA---A-:0:0:1:64:0:0:3:0:10

21$-31H-F-64


1.Rollout120/14* 13/9eq: +0.539
Player:
Opponent:
60.42% (G:23.53% B:2.26%)
39.58% (G:8.32% B:0.35%)
Conf.: ± 0.007 (+0.531...+0.546) - [61.9%]
Duration: 1 hour 36 minutes
2.Rollout120/14* 14/10eq: +0.537 (-0.002)
Player:
Opponent:
60.29% (G:23.03% B:2.13%)
39.71% (G:8.27% B:0.35%)
Conf.: ± 0.007 (+0.530...+0.544) - [38.1%]
Duration: 1 hour 38 minutes
1 10368 Games rolled with Variance Reduction.
Dice Seed: 94307656
Moves: 3-ply, cube decisions: XG Roller




White is Player 2

score: 0
pip: 184
Unlimited Game
Jacoby Beaver
pip: 163
score: 0

Blue is Player 1
XGID=ab----E-C---dEa--c-dA---A-:0:0:1:63:0:0:3:0:10

21$-31H-F-63


1.Rollout120/14* 13/10eq: +0.516
Player:
Opponent:
59.81% (G:23.24% B:2.17%)
40.19% (G:8.71% B:0.39%)
Conf.: ± 0.007 (+0.509...+0.523) - [78.3%]
Duration: 2 hours 00 minute
2.Rollout120/14* 14/11eq: +0.512 (-0.004)
Player:
Opponent:
60.04% (G:22.26% B:1.98%)
39.96% (G:8.53% B:0.36%)
Conf.: ± 0.007 (+0.505...+0.519) - [21.7%]
Duration: 2 hours 03 minutes
1 10368 Games rolled with Variance Reduction.
Dice Seed: 94307656
Moves: 3-ply, cube decisions: XG Roller

In the top row (first and second) positions, Blue's second roll (hitting) was 54, where he reduced his midpoint to four checkers.
In the bottom row (third and fourth) positions, Blue's second roll (hitting) was 31, where he still has five checkers on his midpoint.

In the left-hand (first and third) positions, Blue has 64 to play.
In the right-hand (second and fourth) positions, Blue has 63 to play.


Below is a simple representation of the same four positions, laid out as in the diagram table.

Plus numbers support continuing on with the same checker that hits.
Minus numbers support coming down from the midpoint.

...-----------------------------------------------------------------------------------------------------

...21$-54Z-F-64 ...+17 ..........21$-54Z-F-63 ...+22 ......... (Four checkers on midpoint)

...21$-31U-F-64 ....–2 ...........21$-31U-F-63 ....–4 .......... (Five checkers on midpoint)

...-----------------------------------------------------------------------------------------------------

The story is the same whether the roll is 63 or 64:

If the midpoint as been reduced to four checkers, continue on with the blot.
If your midpoint still has five checkers, the choice is a tie (perhaps with a slight lean towards unstacking the mid).

Nack

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