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41$-64R-41?

Posted By: Nack Ballard
Date: Sunday, 10 June 2012, at 9:01 a.m.

In Response To: 41$-64R-41? (Daniel Murphy)


2O ' ' ' '5X '3X ' ' '4O

1X ' ' ' '4O '3O1O '1X5X

41$-64R-31


One of the third roll positions not included in Backgammon Openings is 41$-64R-31, shown above. The truncated result is [$ U37 V43 B91 S95] ~1t, meaning that slotting (bar/22 6/5) is clearly best despite the fact that Blue's 6pt is already reduced to four checkers.

If you change the roll to 41 (as suggested), again $ should have a similarly strong lead over U and V (V being the better of those two now due to 4 duplication). Covering the 9pt is a new alternative not available with 31, and evidently it is better than V and U but not better than $, which retains its lead.

Key: $ = Slot (bar/22 6/5 or bar/21 6/5), U = bar/21 or bar/20, V = bar/22 24/23 or bar/21 24/23, B = bar/22 9/8 or bar/21 9/8, S = bar/24 13/10 or bar/24 13/9.

Related positions (the closest of which is the fourth position) that were chosen for the book are:

    64S-66B-31 (p. 82)
    63S-66B-31 (p. 83)
    52D-64R-31 (p. 84)
    51$-64R-31 (p. 84)
    54D-62R-31 (p. 85)
    54D-44B-31 (p. 86)

In which of those six positions is splitting the back checkers better than slotting? To find out which and why, read Backgammon Openings or make your best guess. :)

Nack

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