Opening Reply 5-5

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   8/3(2), 6/1*(2)   + .519, .204, .007   − .481, .134, .006 +.109   RBC (.003) (.010)   13/8(2), 6/1*(2)   + .521, .176, .006   − .479, .131, .004 +.088   (.021) (.053)   13/3(2)   + .518, .171, .007   − .482, .137, .006 +.071   (.038) (.006) (.069) (.018)   13/3, 8/3, 6/1*   + .511, .179, .008   − .489, .135, .006 +.067   (.042) (.020) (.066) (.028)
After played 13/11, 6/5		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/3(2)   + .465, .150, .010   − .535, .170, .007 −.088   RDB
After played 8/5, 6/5		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/3(2)   + .446, .145, .009   − .554, .179, .008 −.141   RDBC
After played 24/21, 13/11		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   8/3(2), 6/1*(2)   + .514, .193, .006   − .486, .127, .005 +.094   RBC   13/8(2), 6/1*(2)   + .510, .155, .004   − .490, .125, .004 +.050   (.044) (.008) (.082) (.005)
After played 13/11, 13/10		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/3(2)   + .492, .161, .010   − .508, .163, .007 −.015   RDB
After played 24/23, 13/9		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   8/3(2), 6/1*(2)   + .518, .204, .007   − .482, .137, .006 +.103   RBC (.001)   13/8(2), 6/1*(2)   + .517, .171, .006   − .483, .136, .005 +.070   (.033) (.001) (.067)   13/3(2)   + .512, .171, .007   − .488, .140, .006 +.055   (.048) (.011) (.077) (.019)
After played 24/20, 6/5		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   8/3(2), 6/1*(2)   + .511, .214, .008   − .489, .133, .005 +.105   R
After played 13/9, 6/5		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/3(2)   + .453, .147, .009   − .547, .172, .007 −.116   RDB
After played 8/4, 6/4		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/3(2)   + .468, .151, .010   − .532, .173, .007 −.084   RDBC
After played 24/21, 24/20		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/3(2)   + .514, .139, .004   − .486, .109, .004 +.057   R
After played 24/21, 13/9		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   8/3(2), 6/1*(2)   + .518, .199, .007   − .482, .131, .006 +.104   RBC   13/8(2), 6/1*(2)   + .512, .159, .005   − .488, .129, .004 +.056   (.049) (.012) (.091) (.007)
After played 24/20, 13/10		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   8/3(2), 6/1*(2)   + .515, .193, .007   − .485, .131, .005 +.093   RB   13/8(2), 6/1*(2)   + .508, .156, .005   − .492, .128, .004 +.045   (.048) (.013) (.086) (.008)
After played 13/10, 13/9		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/3(2)   + .481, .154, .010   − .519, .170, .007 −.052   RDB
After played 24/23, 13/8		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   8/3(2), 6/1*(2)   + .518, .199, .006   − .482, .135, .006 +.100   RBC (.015) (.026)   13/3(2)   + .526, .166, .006   − .474, .129, .005 +.089   (.011) (.051)   13/8(2), 6/1*(2)   + .525, .165, .005   − .475, .129, .004 +.087   (.014) (.002) (.053) (.001)   13/3, 8/3, 6/1*   + .514, .173, .006   − .486, .136, .006 +.064   (.037) (.024) (.061) (.038)
After played 24/18		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   8/3(2), 6/1*(2)   + .547, .242, .006   − .453, .109, .005 +.229   R (.012) (.033)   13/8(2), 6/1*(2)   + .553, .208, .005   − .447, .098, .004 +.216   (.012) (.057)
After played 13/8, 6/5		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/3(2)   + .482, .155, .009   − .518, .160, .006 −.040   RDB
After played 24/22, 13/8		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   8/3*(2), 6/1*(2)   + .598, .290, .007   − .402, .104, .004 +.385   RB
After played 13/8, 6/4		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/3(2)   + .494, .158, .009   − .506, .154, .006 −.005   R
After played 13/11, 13/8		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/3(2)   + .510, .169, .009   − .490, .147, .006 +.045   RDBC
After played 8/3, 6/3		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/3(2)   + .498, .161, .010   − .502, .163, .007 −.003   RBC
After played 13/10, 13/8		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/3(2)   + .502, .161, .008   − .498, .151, .006 +.015   RD
After played 24/20, 13/8		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   8/3(2), 6/1*(2)   + .509, .184, .005   − .491, .132, .005 +.070   RBC (.000) (.012)   13/8(2), 6/1*(2)   + .509, .149, .004   − .491, .126, .004 +.041   (.028) (.070)   13/3(2)   + .505, .145, .005   − .495, .126, .005 +.030   (.040) (.008) (.085) (.007)
After played 13/9, 13/8		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/3(2)   + .499, .157, .008   − .501, .157, .007 −.000   RDB
After played 13/7, 8/7		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/3(2)   + .473, .150, .009   − .527, .160, .006 −.061   RDBC
After played 24/18, 13/11		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   8/3(2), 6/1*(2)   + .535, .240, .008   − .465, .114, .005 +.199   RDBC (.003) (.014)   13/8(2), 6/1*(2)   + .536, .204, .007   − .464, .108, .004 +.171   (.028) (.069)
After played 24/16		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   8/3(2), 6/1*(2)   + .545, .235, .005   − .455, .101, .005 +.225   RB
After played 13/5		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/3(2)   + .486, .158, .009   − .514, .166, .007 −.033   R
After played 24/18, 13/10		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   8/3(2), 6/1*(2)   + .535, .237, .008   − .465, .113, .005 +.197   RDBC (.005) (.010)   13/8(2), 6/1*(2)   + .537, .209, .007   − .463, .111, .004 +.175   (.022) (.053)
After played 24/15		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   8/3(2), 6/1*(2)   + .544, .235, .006   − .456, .099, .004 +.225   RB
After played 8/2, 6/2		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/3(2)   + .523, .171, .010   − .477, .155, .007 +.066   RB
After played 24/18, 13/9		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   8/3(2), 6/1*(2)   + .536, .243, .008   − .464, .118, .005 +.200   RDB (.006)   13/8(2), 6/1*(2)   + .535, .206, .006   − .465, .114, .004 +.164   (.036) (.001) (.075)
After played 24/14		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   8/3(2), 6/1*(2)   + .534, .221, .004   − .466, .101, .005 +.189   RBC
After played 24/13		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   8/3(2), 6/1*(2)   + .526, .209, .004   − .474, .098, .004 +.162   RDBC

Summary

Opening Play   Reply 8/3(2), 6/1(2) 13/3(2)   24/23, 13/11 *1     13/11, 6/5     8/5, 6/5     24/21, 13/11 *1     13/11, 13/10     24/23, 13/9 *1     24/20, 6/5 *1     13/9, 6/5     8/4, 6/4     24/21, 24/20     24/21, 13/9 *1     24/20, 13/10 *1     13/10, 13/9     24/23, 13/8 *1     24/18 *1     13/8, 6/5     24/22, 13/8 *3, 1     13/8, 6/4     13/11, 13/8     8/3, 6/3     13/10, 13/8     24/20, 13/8 *1     13/9, 13/8     13/7, 8/7     24/18, 13/11 *1     24/16 *1     13/5     24/18, 13/10 *1     24/15 *1     8/2, 6/2     24/18, 13/9 *1     24/14 *1     24/13 *1     8/3(2), 6/1(2) 13/3(2)

 

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