Opening Reply 4-2

Best Nearly Best Pretty Good Not So Good Here are the best ways to play a roll of    after each of Red's possible opening rolls. The EQUITY column shows the estimated cubeless equity of each potential play. The best play is displayed with a white background and the other plays are displayed with progressively darker backgrounds to give a rough idea of the amount of equity lost. Plays that give up more than 0.05 in cubeless equity are not listed at all.

The VOTES column indicates the recommendations of some selected experts:       D = Joe Dwek, in Backgammon for Profit (1975).       R = Bill Robertie, in Inside Backgammon, Volume 8 (1998).       C = Rene Cerutti, posted to the Internet (1999).       B = Bart Brooks, in Backgammon's Best Openings and Replies (2004). The check marks denote the best play in each of the following situations: Cubeless (CL): Cubeless money play. Double Match Point (DMP): In a match with just one game to go. Gammon-Go (GG): When aggressively going for a gammon win. Gammon-Save (GS): When aggressively avoiding a gammon loss.

After played 24/23, 13/11		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   8/4, 6/4   + .504, .149, .006   − .496, .143, .007 +.014   RBC
After played 13/11, 6/5		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/20*, 13/11   + .537, .171, .012   − .463, .118, .005 +.134   RDB   24/22, 24/20*   + .530, .162, .010   − .470, .121, .004 +.108   (.025) (.013) (.031) (.018)   24/20*/18   + .531, .156, .010   − .469, .126, .005 +.098   (.035) (.011) (.041) (.026)
After played 8/5, 6/5		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   8/4, 6/4   + .456, .136, .006   − .544, .171, .008 −.126   RDBC
After played 24/21, 13/11		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   8/4*, 6/4   + .546, .176, .008   − .454, .118, .005 +.154   RBC
After played 13/11, 13/10		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   8/4, 6/4   + .502, .156, .008   − .498, .158, .007 +.003   RDB
After played 24/23, 13/9		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   8/4, 6/4   + .497, .148, .006   − .503, .150, .007 −.009   RBC
After played 24/20, 6/5		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/22, 24/20*   + .528, .136, .006   − .472, .114, .004 +.082   R   24/20*, 13/11   + .517, .133, .006   − .483, .112, .004 +.057   (.024) (.023) (.028) (.019)   24/20*/18   + .520, .127, .005   − .480, .124, .004 +.044   (.037) (.017) (.034) (.038)   24/20*, 8/6   + .510, .134, .006   − .490, .122, .004 +.034   (.047) (.037) (.040) (.053)
After played 13/9, 6/5		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/20*, 13/11   + .542, .185, .015   − .458, .118, .005 +.162   RDB   24/22, 24/20*   + .541, .165, .011   − .459, .116, .004 +.137   (.025) (.004) (.044) (.001)
After played 8/4, 6/4		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   8/4, 6/4   + .471, .143, .007   − .529, .167, .008 −.083   RDBC
After played 24/21, 24/20		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   8/4*, 6/4   + .526, .143, .005   − .474, .115, .005 +.081   R
After played 24/21, 13/9		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   8/4*, 6/4   + .545, .175, .008   − .455, .126, .006 +.142   RBC
After played 24/20, 13/10		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   8/4, 6/4   + .473, .116, .004   − .527, .139, .006 −.078   RB
After played 13/10, 13/9		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   8/4, 6/4   + .493, .150, .007   − .507, .165, .008 −.031   RDB
After played 24/23, 13/8		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   8/4, 6/4   + .509, .152, .006   − .491, .140, .007 +.029   RBC
After played 24/18		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/7*   + .496, .139, .005   − .504, .134, .006 −.003   (.003)   8/4, 6/4   + .488, .137, .005   − .512, .124, .005 −.012   R (.009) (.017) (.022)
After played 13/8, 6/5		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/20*, 13/11   + .543, .162, .009   − .457, .112, .004 +.141   RDB   24/22, 24/20*   + .538, .152, .008   − .462, .115, .004 +.117   (.024) (.010) (.031) (.015)
After played 24/22, 13/8		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   8/4, 6/4   + .501, .142, .005   − .499, .134, .006 +.009   RB
After played 13/8, 6/4		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   8/4, 6/4   + .496, .151, .007   − .504, .153, .007 −.010   R
After played 13/11, 13/8		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   8/4, 6/4   + .507, .160, .007   − .493, .148, .007 +.024   RDBC
After played 8/3, 6/3		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   8/4, 6/4   + .494, .154, .007   − .506, .159, .009 −.018   RBC
After played 13/10, 13/8		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   8/4, 6/4   + .502, .154, .007   − .498, .153, .008 +.004   RD
After played 24/20, 13/8		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   8/4, 6/4   + .482, .124, .004   − .518, .137, .006 −.052   RBC
After played 13/9, 13/8		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   8/4, 6/4   + .499, .155, .007   − .501, .158, .008 −.006   RDB
After played 13/7, 8/7		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   8/4, 6/4   + .480, .143, .006   − .520, .153, .007 −.053   RDBC
After played 24/18, 13/11		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/7*   + .481, .135, .006   − .519, .145, .007 −.049   RBC (.014)   8/4, 6/4   + .473, .130, .005   − .527, .131, .006 −.055   D (.005) (.015) (.025)
After played 24/16		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/22, 13/9*   + .517, .151, .006   − .483, .124, .005 +.063   RB (.013)   13/11, 13/9*   + .517, .158, .007   − .483, .133, .007 +.059   (.004) (.001) (.020)
After played 13/5		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/20*, 13/11   + .548, .160, .009   − .452, .115, .005 +.145   R   24/22, 24/20*   + .542, .149, .008   − .458, .116, .004 +.121   (.024) (.012) (.033) (.015)   24/20*/18   + .540, .143, .007   − .460, .127, .004 +.098   (.047) (.017) (.051) (.041)
After played 24/18, 13/10		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/7*   + .479, .136, .006   − .521, .147, .007 −.053   RB (.008)   8/4, 6/4   + .472, .129, .005   − .528, .135, .006 −.064   DC (.011) (.015) (.029)
After played 24/15		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   8/4, 6/4   + .484, .141, .005   − .516, .123, .006 −.016   RB
After played 8/2, 6/2		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   8/4, 6/4   + .515, .164, .007   − .485, .153, .008 +.039   RB
After played 24/18, 13/9		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/7*   + .477, .134, .006   − .523, .152, .008 −.066   RB   8/4, 6/4   + .464, .128, .005   − .536, .143, .007 −.089   D (.024) (.027) (.039) (.008)
After played 24/14		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/20, 13/11*   + .521, .138, .006   − .479, .114, .004 +.067   RB (.033)   13/11*, 13/9   + .517, .158, .007   − .483, .133, .007 +.059   (.008) (.009) (.047)
After played 24/13		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   8/4, 6/4   + .472, .136, .004   − .528, .121, .006 −.043   RDBC

Summary

Opening Play   Reply 8/4, 6/4 24/20, 13/11 13/7 24/22, 24/20 24/22, 13/9   24/23, 13/11           13/11, 6/5   *20         8/5, 6/5           24/21, 13/11 *4           13/11, 13/10           24/23, 13/9           24/20, 6/5       *20     13/9, 6/5   *20         8/4, 6/4           24/21, 24/20 *4           24/21, 13/9 *4           24/20, 13/10           13/10, 13/9           24/23, 13/8           24/18     *7       13/8, 6/5   *20         24/22, 13/8           13/8, 6/4           13/11, 13/8           8/3, 6/3           13/10, 13/8           24/20, 13/8           13/9, 13/8           13/7, 8/7           24/18, 13/11     *7       24/16         *9   13/5   *20         24/18, 13/10     *7       24/15           8/2, 6/2           24/18, 13/9     *7       24/14   *11         24/13           8/4, 6/4 24/20, 13/11 13/7 24/22, 24/20 24/22, 13/9

 

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