Opening Reply 6-3

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   24/18, 13/10   + .477, .120, .005   − .523, .156, .007 −.084   RB   24/15   + .476, .112, .005   − .524, .157, .006 −.094   C (.010) (.002) (.017) (.004)   24/21, 24/18   + .471, .112, .005   − .529, .157, .006 −.104   (.020) (.012) (.028) (.013)   24/21, 8/2*   + .457, .118, .004   − .543, .147, .007 −.118   (.034) (.039) (.044) (.022)
After played 13/11, 6/5		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/15   + .450, .107, .005   − .550, .179, .006 −.173   DB (.013)   24/21, 13/7   + .442, .121, .006   − .558, .180, .009 −.177   R (.004) (.016) (.018)   24/21, 24/18   + .444, .105, .005   − .556, .181, .007 −.191   (.018) (.013) (.030) (.017)   24/18, 13/10   + .439, .115, .005   − .561, .184, .009 −.195   (.022) (.023) (.019) (.034)   13/4   + .429, .124, .006   − .571, .184, .009 −.205   (.031) (.042) (.020) (.052)   13/10, 13/7   + .425, .126, .006   − .575, .189, .013 −.221   (.047) (.050) (.026) (.071)
After played 8/5, 6/5		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/18, 13/10   + .425, .106, .005   − .575, .197, .009 −.247   R (.010)   24/15   + .422, .097, .004   − .578, .190, .007 −.251   DBC (.005) (.005) (.022)
After played 24/21, 13/11		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/4*   + .474, .137, .006   − .526, .149, .008 −.067   RBC   24/15   + .467, .112, .005   − .533, .159, .006 −.114   (.048) (.014) (.063) (.034)
After played 13/11, 13/10		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/15*   + .538, .151, .009   − .462, .135, .005 +.097   RDB
After played 24/23, 13/9		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/15   + .473, .110, .005   − .527, .162, .006 −.107   BC (.016)   24/18, 13/10   + .469, .122, .005   − .531, .167, .007 −.109   R (.002) (.007) (.018)   24/21, 8/2*   + .459, .123, .005   − .541, .160, .008 −.122   (.014) (.027) (.017) (.024)   24/21, 13/7   + .446, .118, .004   − .554, .164, .008 −.157   (.050) (.053) (.054) (.057)
After played 24/20, 6/5		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/18, 8/5*   + .467, .119, .006   − .533, .155, .007 −.102   R
After played 13/9, 6/5		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/15   + .441, .103, .005   − .559, .178, .007 −.195   RDB (.021)   24/18, 13/10   + .440, .115, .006   − .560, .191, .009 −.200   (.006) (.003) (.031)   24/21, 13/7   + .421, .113, .005   − .579, .188, .010 −.236   (.042) (.040) (.039) (.061)
After played 8/4, 6/4		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/15   + .436, .098, .004   − .564, .184, .007 −.217   DC (.004) (.032)   24/18, 13/10   + .438, .112, .005   − .562, .201, .010 −.217   RB (.000) (.030)   13/4   + .417, .118, .005   − .583, .196, .012 −.251   (.034) (.042) (.029) (.063)
After played 24/21, 24/20		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/4*   + .471, .115, .004   − .529, .135, .006 −.081   R   24/18, 6/3   + .467, .098, .004   − .533, .138, .006 −.108   (.027) (.008) (.041) (.015)   13/7, 8/5*   + .459, .124, .004   − .541, .152, .010 −.115   (.035) (.024) (.004) (.059)   24/21, 13/7   + .453, .111, .004   − .547, .131, .006 −.117   (.037) (.037) (.044) (.029)   24/18, 8/5*   + .463, .105, .004   − .537, .153, .007 −.125   (.044) (.016) (.034) (.052)
After played 24/21, 13/9		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/4*   + .471, .137, .006   − .529, .158, .009 −.081   RBC
After played 24/20, 13/10		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/15*   + .530, .127, .006   − .470, .131, .004 +.058   RB
After played 13/10, 13/9		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/15*   + .545, .155, .010   − .455, .134, .005 +.115   RDB
After played 24/23, 13/8		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/15   + .485, .110, .004   − .515, .148, .005 −.069   BC   24/18, 13/10   + .469, .109, .004   − .531, .151, .006 −.107   R (.038) (.032) (.036) (.038)
After played 24/18		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/21, 13/7*   + .507, .139, .006   − .493, .122, .005 +.033   R (.001)   13/10, 13/7*   + .498, .149, .006   − .502, .139, .007 +.005   (.028) (.018) (.053)
After played 13/8, 6/5		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/15   + .459, .106, .004   − .541, .171, .006 −.148   DB (.025)   13/4   + .445, .132, .006   − .555, .174, .009 −.155   (.007) (.028) (.035)   24/18, 13/10   + .448, .112, .005   − .552, .176, .008 −.170   R (.022) (.022) (.034) (.032)   24/21, 13/7   + .440, .115, .005   − .560, .172, .008 −.182   (.034) (.039) (.046) (.043)   13/10, 13/7   + .433, .127, .005   − .567, .183, .012 −.197   (.049) (.053) (.036) (.077)
After played 24/22, 13/8		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/15   + .471, .102, .004   − .529, .147, .005 −.105   RB (.020)   24/18, 13/10   + .464, .108, .004   − .536, .155, .006 −.122   (.017) (.014) (.023) (.029)   13/7, 6/3*   + .459, .124, .004   − .541, .165, .011 −.129   (.024) (.024) (.059)   24/21, 24/18   + .456, .102, .004   − .544, .164, .006 −.151   (.046) (.029) (.049) (.063)   24/21, 13/7   + .444, .118, .004   − .556, .157, .008 −.154   (.049) (.054) (.041) (.073)
After played 13/8, 6/4		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/21*/15   + .549, .151, .008   − .451, .119, .004 +.134   R   24/21*, 13/7   + .527, .154, .008   − .473, .115, .004 +.097   (.037) (.044) (.038) (.036)   24/21*, 24/18   + .534, .141, .008   − .466, .124, .004 +.089   (.045) (.030) (.051) (.040)
After played 13/11, 13/8		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/15   + .474, .114, .005   − .526, .160, .006 −.100   DC (.017)   24/18, 13/10   + .472, .125, .006   − .528, .168, .008 −.102   RB (.001) (.004) (.019)   13/4   + .455, .132, .005   − .545, .163, .009 −.125   (.025) (.038) (.020) (.043)   13/10, 13/7   + .457, .137, .006   − .543, .172, .011 −.127   (.026) (.033) (.005) (.057)   24/21, 24/18   + .465, .110, .005   − .535, .169, .006 −.130   (.029) (.017) (.042) (.034)   24/21, 13/7   + .456, .125, .006   − .544, .167, .008 −.132   (.032) (.035) (.031) (.049)
After played 8/3, 6/3		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/18, 13/10   + .458, .117, .005   − .542, .196, .009 −.166   R (.014)   24/15   + .452, .106, .005   − .548, .182, .007 −.176   BC (.010) (.012) (.035)   13/4   + .442, .128, .006   − .558, .185, .011 −.178   (.012) (.033) (.010) (.025)   24/21, 13/7   + .442, .118, .005   − .558, .191, .010 −.193   (.027) (.032) (.030) (.035)
After played 13/10, 13/8		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/15*   + .546, .143, .007   − .454, .128, .005 +.109   RD
After played 24/20, 13/8		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/7, 8/5*   + .449, .124, .004   − .551, .170, .012 −.156   (.006) (.049)   24/15   + .452, .091, .003   − .548, .149, .005 −.156   C (.000) (.059)   24/18, 8/5*   + .450, .108, .004   − .550, .168, .008 −.165   RB (.009) (.005) (.030) (.043)   13/4   + .441, .107, .003   − .559, .151, .008 −.166   (.011) (.022) (.050) (.026)   24/21, 13/7   + .439, .108, .004   − .561, .156, .007 −.174   (.019) (.026) (.052) (.041)   24/21, 24/18   + .443, .090, .003   − .557, .160, .005 −.185   (.029) (.017) (.079) (.039)   24/18, 13/10   + .434, .092, .003   − .566, .157, .007 −.202   (.046) (.036) (.095) (.053)
After played 13/9, 13/8		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/15   + .468, .113, .005   − .532, .170, .006 −.122   RDB (.010)   24/18, 13/10   + .466, .120, .005   − .534, .176, .008 −.126   (.003) (.004) (.015)   13/4   + .447, .129, .005   − .553, .176, .010 −.158   (.036) (.044) (.021) (.055)
After played 13/7, 8/7		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/15   + .449, .102, .004   − .551, .164, .006 −.165   RDBC   24/21, 13/7   + .436, .111, .004   − .564, .172, .008 −.193   (.028) (.027) (.010) (.044)
After played 24/18, 13/11		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/21, 13/7*   + .496, .140, .006   − .504, .131, .006 +.001   RBC   13/10, 13/7*   + .486, .146, .007   − .514, .150, .009 −.034   D (.035) (.021) (.007) (.058)
After played 24/16		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/21, 13/7   + .456, .123, .004   − .544, .134, .006 −.101   RB   24/18, 13/10   + .454, .108, .004   − .546, .138, .006 −.124   (.023) (.003) (.034) (.010)   24/21, 24/18   + .452, .102, .004   − .548, .143, .005 −.137   (.036) (.007) (.049) (.024)   13/4   + .442, .122, .004   − .558, .143, .008 −.140   (.039) (.027) (.030) (.045)
After played 13/5		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/4   + .447, .132, .006   − .553, .180, .009 −.156   (.021) (.024)   24/15   + .458, .104, .005   − .542, .178, .006 −.160   (.004) (.035)   24/18, 13/10   + .455, .114, .005   − .545, .190, .008 −.169   R (.013) (.006) (.021) (.028)   24/21, 13/7   + .443, .117, .005   − .557, .180, .008 −.180   (.023) (.029) (.038) (.032)   13/10, 13/7   + .440, .128, .006   − .560, .185, .012 −.184   (.027) (.036) (.022) (.049)   24/21, 24/18   + .449, .098, .004   − .551, .184, .006 −.189   (.033) (.017) (.064) (.027)
After played 24/18, 13/10		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/15*   + .526, .128, .006   − .474, .121, .004 +.060   RDBC
After played 24/15		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/18, 13/10*   + .519, .130, .005   − .481, .125, .005 +.044   RB   13/10*, 13/7   + .498, .149, .006   − .502, .139, .007 +.005   (.038) (.041) (.004) (.069)
After played 8/2, 6/2		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/18, 13/10   + .472, .125, .006   − .528, .192, .009 −.126   RB (.017)   13/4   + .461, .134, .005   − .539, .177, .011 −.127   (.000) (.022) (.002) (.010)   24/15   + .469, .111, .005   − .531, .180, .006 −.134   (.007) (.006) (.034)   24/21, 13/7   + .457, .125, .005   − .543, .188, .009 −.151   (.025) (.029) (.028) (.038)   13/10, 13/7   + .456, .135, .006   − .544, .194, .015 −.157   (.031) (.032) (.012) (.053)
After played 24/18, 13/9		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/21, 13/7*   + .500, .141, .006   − .500, .138, .006 +.002   RDB
After played 24/14		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/18, 13/10   + .462, .113, .004   − .538, .136, .006 −.101   RBC   24/21, 13/7   + .445, .117, .004   − .555, .135, .006 −.129   (.028) (.032) (.023) (.032)
After played 24/13		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/18, 13/10   + .451, .104, .003   − .549, .131, .005 −.127   RDBC (.009)   24/21, 13/7   + .443, .114, .004   − .557, .132, .006 −.134   (.007) (.015) (.003) (.018)   24/15   + .443, .096, .003   − .557, .136, .005 −.155   (.028) (.015) (.039) (.026)   13/10, 13/7   + .435, .123, .004   − .565, .146, .009 −.157   (.030) (.030) (.062)   13/4   + .433, .116, .004   − .567, .142, .008 −.164   (.037) (.036) (.020) (.058)

Summary

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

 

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