Opening Reply 6-2

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   24/18, 13/11   + .480, .120, .005   − .520, .157, .007 −.078   RBC   24/16   + .471, .116, .005   − .530, .163, .006 −.107   (.029) (.019) (.028) (.030)   24/22, 24/18   + .463, .118, .006   − .537, .170, .006 −.126   (.048) (.033) (.038) (.059)
After played 13/11, 6/5		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/22, 13/7   + .435, .119, .005   − .565, .179, .008 −.193   RB (.013) (.002)   24/18, 13/11   + .442, .113, .005   − .558, .189, .008 −.195   D (.001) (.005)   13/5   + .429, .123, .005   − .571, .180, .010 −.204   (.010) (.025) (.006) (.014)   24/16   + .435, .105, .005   − .565, .185, .007 −.212   (.019) (.013) (.029) (.011)   13/11, 13/7   + .429, .124, .006   − .571, .189, .012 −.213   (.020) (.026) (.006) (.031)   24/22, 24/18   + .433, .105, .005   − .567, .188, .007 −.219   (.025) (.018) (.034) (.022)
After played 8/5, 6/5		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/18, 13/11   + .430, .105, .005   − .570, .196, .009 −.236   RB   24/16   + .423, .099, .004   − .577, .194, .007 −.253   C (.017) (.014) (.026) (.009)   24/22, 24/18   + .418, .098, .004   − .582, .210, .008 −.279   (.043) (.024) (.037) (.051)
After played 24/21, 13/11		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/18, 13/11   + .463, .111, .005   − .537, .161, .007 −.125   C (.001) (.022)   13/7, 6/4*   + .459, .126, .005   − .541, .169, .012 −.131   RB (.006) (.008) (.024)   24/18, 6/4*   + .463, .115, .005   − .537, .171, .009 −.133   (.008) (.014) (.021)   24/16   + .455, .103, .004   − .545, .159, .006 −.149   (.023) (.018) (.055) (.014)   24/22, 24/18   + .452, .109, .005   − .548, .173, .006 −.161   (.035) (.023) (.049) (.046)   13/5   + .444, .114, .004   − .556, .160, .009 −.163   (.037) (.039) (.055) (.037)   24/22, 13/7   + .442, .113, .004   − .558, .157, .007 −.164   (.038) (.044) (.062) (.036)
After played 13/11, 13/10		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/18, 13/11   + .471, .126, .006   − .529, .175, .008 −.109   RB   24/16   + .463, .120, .006   − .537, .176, .007 −.131   (.022) (.016) (.029) (.017)   24/22, 24/18   + .463, .118, .006   − .537, .181, .007 −.138   (.029) (.015) (.033) (.028)   13/11, 13/7   + .454, .133, .006   − .546, .175, .011 −.139   (.031) (.034) (.021) (.034)   24/22, 13/7   + .453, .127, .006   − .547, .173, .008 −.142   (.033) (.035) (.035) (.031)   13/5   + .453, .130, .006   − .547, .176, .010 −.144   D (.035) (.035) (.029) (.037)
After played 24/23, 13/9		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/16*   + .549, .144, .007   − .451, .126, .004 +.120   RBC
After played 24/20, 6/5		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/5*   + .471, .137, .006   − .529, .148, .007 −.071   R
After played 13/9, 6/5		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/16*   + .529, .152, .009   − .471, .134, .005 +.081   RDB
After played 8/4, 6/4		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/18, 13/11   + .440, .109, .005   − .560, .198, .010 −.214   RBC (.002)   24/16   + .432, .099, .004   − .568, .190, .007 −.229   (.015) (.014) (.034)   13/5   + .423, .119, .005   − .577, .189, .012 −.231   D (.017) (.032) (.013) (.018)
After played 24/21, 24/20		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/5*   + .473, .121, .004   − .527, .140, .007 −.077   R   13/7, 6/4*   + .466, .117, .004   − .534, .146, .008 −.101   (.023) (.013) (.020) (.024)   24/18, 6/4*   + .465, .096, .003   − .535, .148, .007 −.124   (.047) (.015) (.063) (.030)
After played 24/21, 13/9		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/16*   + .539, .132, .006   − .461, .127, .004 +.085   RBC
After played 24/20, 13/10		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/5*   + .474, .135, .006   − .526, .150, .008 −.070   RB
After played 13/10, 13/9		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/16*   + .540, .154, .010   − .460, .137, .005 +.101   RDB
After played 24/23, 13/8		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/16   + .477, .105, .004   − .523, .150, .005 −.093   BC   24/18, 13/11   + .468, .107, .004   − .532, .153, .006 −.112   R (.020) (.018) (.015) (.023)   13/5   + .453, .121, .004   − .547, .158, .009 −.136   (.043) (.048) (.016) (.064)
After played 24/18		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/22, 13/7*   + .502, .140, .006   − .498, .126, .005 +.019   (.012)   13/11, 13/7*   + .501, .148, .006   − .499, .140, .007 +.009   R (.010) (.003) (.029)   13/7*/5   + .490, .138, .005   − .510, .138, .007 −.021   (.040) (.024) (.041) (.048)
After played 13/8, 6/5		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/16   + .453, .104, .004   − .547, .171, .006 −.164   DB (.011)   13/5   + .441, .122, .005   − .559, .169, .009 −.169   (.006) (.024) (.019)   24/18, 13/11   + .449, .110, .005   − .551, .180, .008 −.175   R (.011) (.008) (.007) (.024)   13/7, 6/4   + .441, .121, .005   − .559, .181, .013 −.187   (.023) (.024) (.002) (.044)   13/11, 13/7   + .435, .125, .005   − .565, .181, .011 −.192   (.028) (.035) (.005) (.054)   24/22, 13/7   + .435, .115, .004   − .565, .175, .008 −.193   (.029) (.035) (.024) (.042)   24/22, 24/18   + .437, .100, .004   − .563, .185, .006 −.213   (.049) (.031) (.050) (.058)
After played 24/22, 13/8		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/18, 13/11   + .473, .110, .004   − .527, .155, .006 −.102   RB (.003) (.010)   24/16   + .474, .102, .004   − .526, .152, .005 −.102   (.000) (.012)
After played 13/8, 6/4		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/5   + .463, .131, .005   − .537, .162, .009 −.109   R (.002)   24/16   + .464, .104, .004   − .536, .167, .006 −.137   (.028) (.051) (.007)   13/11, 13/7   + .449, .130, .006   − .551, .175, .011 −.153   (.043) (.030) (.030) (.053)   24/18, 13/11   + .456, .114, .005   − .544, .178, .008 −.156   (.047) (.016) (.047) (.046)
After played 13/11, 13/8		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/18, 13/11   + .474, .124, .006   − .526, .170, .007 −.100   RBC (.003)   13/5   + .464, .136, .006   − .536, .163, .009 −.103   D (.004) (.021) (.006)   13/11, 13/7   + .460, .136, .006   − .540, .171, .011 −.121   (.021) (.029) (.008) (.030)   24/16   + .467, .117, .005   − .533, .171, .007 −.122   (.022) (.015) (.032) (.016)
After played 8/3, 6/3		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/18, 13/11   + .458, .116, .005   − .542, .191, .009 −.163   RBC (.001)   13/5   + .446, .127, .005   − .554, .179, .011 −.166   (.003) (.024) (.002)   24/16   + .449, .104, .004   − .551, .183, .007 −.186   (.022) (.019) (.043) (.004)   13/11, 13/7   + .438, .126, .005   − .562, .195, .015 −.203   (.040) (.041) (.020) (.050)
After played 13/10, 13/8		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/18, 13/11   + .474, .120, .005   − .526, .166, .007 −.100   R   24/16   + .467, .113, .005   − .533, .172, .007 −.127   (.027) (.014) (.028) (.025)   13/5   + .456, .131, .005   − .544, .169, .010 −.130   D (.030) (.035) (.014) (.040)   13/11, 13/7   + .457, .132, .006   − .543, .174, .011 −.133   (.033) (.033) (.008) (.049)   24/22, 24/18   + .460, .110, .005   − .540, .179, .006 −.149   (.049) (.027) (.046) (.053)   24/22, 13/7   + .452, .122, .005   − .548, .173, .008 −.149   (.049) (.043) (.038) (.057)
After played 24/20, 13/8		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/5*   + .474, .132, .005   − .526, .148, .008 −.071   RBC
After played 13/9, 13/8		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/16*   + .546, .142, .007   − .454, .129, .005 +.107   RDB
After played 13/7, 8/7		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/16   + .446, .101, .004   − .554, .165, .006 −.175   RDBC   13/5   + .429, .118, .004   − .571, .169, .010 −.198   (.023) (.033) (.000) (.040)   24/22, 13/7   + .430, .110, .004   − .570, .174, .008 −.208   (.033) (.031) (.014) (.048)   13/11, 13/7   + .422, .117, .004   − .578, .178, .011 −.223   (.047) (.046) (.015) (.071)
After played 24/18, 13/11		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/22, 13/7*   + .489, .138, .006   − .511, .138, .006 −.021   BC (.013)   13/11, 13/7*   + .489, .146, .007   − .512, .149, .008 −.028   RD (.007) (.002) (.024)   13/7*/5   + .477, .136, .006   − .523, .148, .008 −.061   (.040) (.025) (.043) (.045)
After played 24/16		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/22, 13/7   + .448, .124, .005   − .552, .138, .006 −.119   (.006) (.008)   13/5   + .447, .123, .004   − .553, .139, .008 −.126   RB (.007) (.009) (.005) (.014)   24/22, 24/18   + .451, .101, .004   − .549, .137, .005 −.134   (.015) (.040)   24/16   + .449, .102, .004   − .551, .138, .005 −.140   (.021) (.004) (.042) (.008)   24/18, 13/11   + .448, .109, .004   − .552, .147, .006 −.144   (.025) (.005) (.031) (.027)   24/18, 8/6   + .441, .100, .004   − .559, .134, .005 −.152   (.033) (.019) (.061) (.014)   13/7, 6/4   + .436, .120, .004   − .564, .153, .010 −.166   (.047) (.030) (.032) (.063)
After played 13/5		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/18, 13/11   + .454, .112, .005   − .546, .186, .008 −.168   R (.003) (.010)   13/5   + .442, .125, .005   − .558, .175, .009 −.170   (.001) (.024) (.012)   24/16   + .453, .104, .004   − .547, .180, .006 −.172   (.004) (.002) (.021)   13/7, 6/4   + .445, .122, .005   − .555, .184, .013 −.181   (.012) (.018) (.001) (.025)   13/11, 13/7   + .441, .126, .005   − .559, .184, .012 −.183   (.015) (.026) (.001) (.034)   24/22, 13/7   + .436, .115, .005   − .564, .182, .008 −.200   (.031) (.037) (.034) (.040)   24/22, 24/18   + .442, .101, .004   − .558, .188, .006 −.204   (.035) (.023) (.048) (.038)
After played 24/18, 13/10		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/22, 13/7*   + .491, .137, .006   − .509, .138, .006 −.019   DBC (.006)   13/11, 13/7*   + .488, .144, .007   − .512, .151, .009 −.034   R (.016) (.007) (.034)
After played 24/15		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/5   + .446, .124, .004   − .554, .142, .008 −.128   B (.009) (.019)   24/22, 13/7   + .444, .119, .004   − .556, .138, .006 −.134   (.006) (.014) (.015) (.017)   24/18, 13/11   + .451, .103, .003   − .549, .137, .006 −.135   R (.007) (.034)   24/22, 24/18   + .447, .098, .004   − .553, .141, .005 −.150   (.022) (.007) (.052) (.015)   24/18, 8/6   + .437, .096, .003   − .563, .137, .005 −.168   (.040) (.027) (.075) (.027)   24/16   + .437, .103, .003   − .563, .148, .006 −.174   (.046) (.028) (.061) (.050)   13/7, 6/4   + .434, .118, .004   − .566, .155, .010 −.175   (.048) (.033) (.038) (.071)
After played 8/2, 6/2		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/5   + .467, .135, .005   − .533, .174, .010 −.110   B (.014)   24/18, 13/11   + .474, .123, .006   − .526, .190, .008 −.122   R (.012) (.011) (.017)   24/16   + .466, .111, .005   − .534, .184, .007 −.143   (.033) (.016) (.049) (.022)   13/11, 13/7   + .460, .134, .006   − .540, .190, .014 −.144   (.034) (.028) (.017) (.045)   24/22, 13/7   + .458, .125, .005   − .542, .186, .009 −.149   (.039) (.033) (.039) (.042)
After played 24/18, 13/9		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/16*   + .528, .131, .006   − .472, .121, .004 +.068   RB
After played 24/14		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/18, 13/11*   + .521, .128, .005   − .479, .124, .005 +.046   RBC   13/11*, 13/7   + .501, .148, .006   − .499, .140, .007 +.009   (.037) (.039) (.000) (.071)
After played 24/13		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/18, 13/11   + .453, .104, .003   − .547, .130, .005 −.122   RDBC (.012)   13/5   + .438, .118, .004   − .562, .136, .007 −.145   (.023) (.029) (.013) (.041)   13/11, 13/7   + .439, .123, .004   − .561, .149, .009 −.152   (.030) (.027) (.065)   24/22, 13/7   + .437, .113, .004   − .563, .137, .006 −.152   (.030) (.032) (.026) (.045)   24/16   + .439, .096, .003   − .561, .134, .005 −.162   (.039) (.027) (.056) (.034)

Summary

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

 

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