Opening Reply 4-3

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   24/21, 13/9   + .470, .129, .006   − .530, .149, .007 −.080   RB (.004)   24/21, 6/2*   + .467, .116, .004   − .533, .143, .007 −.097   (.016) (.008) (.034)   13/10, 13/9   + .463, .136, .006   − .537, .160, .009 −.102   C (.022) (.015) (.002) (.040)   24/21, 24/20   + .467, .117, .006   − .533, .154, .006 −.102   (.022) (.006) (.030) (.020)   24/20, 13/10   + .466, .122, .005   − .534, .155, .007 −.103   (.023) (.009) (.024) (.025)
After played 13/11, 6/5		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/21, 24/20*   + .537, .164, .011   − .463, .114, .004 +.131   (.005)   24/20*, 13/10   + .532, .172, .012   − .468, .118, .005 +.124   RDB (.007) (.012) (.020)
After played 8/5, 6/5		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/21, 13/9   + .420, .111, .005   − .580, .185, .009 −.239   RDBC   13/10, 13/9   + .410, .120, .005   − .590, .196, .013 −.263   (.024) (.020) (.001) (.042)
After played 24/21, 13/11		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/21, 8/4*   + .468, .127, .005   − .532, .153, .008 −.093   R (.002) (.027)   13/10, 8/4*   + .469, .140, .006   − .531, .166, .011 −.095   BC (.001) (.025)   8/4*/1*   + .460, .133, .005   − .540, .158, .007 −.107   (.014) (.017) (.030) (.026)   24/21, 24/20   + .457, .109, .005   − .543, .153, .006 −.130   (.037) (.023) (.085) (.021)
After played 13/11, 13/10		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/10, 13/9   + .465, .145, .007   − .535, .170, .010 −.097   RDB (.005)   24/21, 13/9   + .468, .135, .007   − .532, .174, .008 −.105   (.008) (.016) (.004)
After played 24/23, 13/9		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/21, 6/2*   + .470, .122, .005   − .530, .153, .007 −.093   BC (.005)   24/21, 13/9   + .465, .125, .005   − .535, .161, .007 −.109   R (.016) (.011) (.009) (.027)   24/20, 13/10   + .463, .122, .005   − .537, .158, .007 −.112   (.019) (.015) (.019) (.025)   13/10, 13/9   + .458, .136, .006   − .542, .166, .010 −.118   (.025) (.024) (.050)   24/21, 24/20   + .458, .115, .006   − .542, .164, .006 −.135   (.041) (.025) (.044) (.047)
After played 24/20, 6/5		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/20*, 8/5*   + .552, .167, .009   − .448, .104, .004 +.173   R
After played 13/9, 6/5		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/21, 24/20*   + .550, .167, .012   − .450, .116, .004 +.157   B (.012)   24/20*, 13/10   + .540, .183, .014   − .460, .118, .005 +.154   RD (.003) (.019) (.022)
After played 8/4, 6/4		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/20, 13/10   + .435, .112, .005   − .565, .177, .008 −.197   RDC (.026)   13/10, 13/9   + .431, .130, .006   − .569, .188, .012 −.202   B (.005) (.009) (.030)
After played 24/21, 24/20		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/20, 8/5*   + .473, .115, .004   − .527, .135, .006 −.077   R (.034) (.013)   24/21, 8/4*   + .466, .109, .004   − .534, .135, .007 −.097   (.020) (.013) (.059) (.026)   24/21, 24/20   + .462, .090, .003   − .538, .118, .004 −.105   (.027) (.021) (.105)   24/20, 6/3   + .460, .103, .004   − .540, .129, .005 −.107   (.030) (.025) (.084) (.025)   8/5*, 8/4*   + .467, .137, .005   − .533, .172, .014 −.109   (.031) (.010) (.098)   13/10, 8/4*   + .458, .126, .005   − .542, .156, .010 −.121   (.044) (.030) (.043) (.085)
After played 24/21, 13/9		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/21, 8/4*   + .468, .128, .006   − .532, .165, .009 −.105   R (.019)   13/10, 8/4*   + .466, .139, .006   − .534, .175, .013 −.110   B (.005) (.004) (.023)   8/4*/1*   + .457, .132, .005   − .543, .166, .008 −.124   C (.019) (.022) (.033) (.024)
After played 24/20, 13/10		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/20, 8/5*   + .470, .124, .005   − .530, .155, .008 −.092   RB (.017)   13/9, 8/5*   + .466, .137, .006   − .534, .170, .012 −.107   (.015) (.008) (.039)   8/5*/1*   + .459, .131, .005   − .541, .161, .008 −.115   (.023) (.022) (.025) (.035)
After played 13/10, 13/9		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/10, 13/9   + .458, .142, .007   − .542, .178, .011 −.123   RDB   24/21, 13/9   + .454, .126, .006   − .546, .186, .009 −.155   (.032) (.008) (.041) (.025)   24/20, 13/10   + .449, .117, .005   − .551, .178, .008 −.166   (.043) (.018) (.068) (.019)
After played 24/23, 13/8		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/21, 24/20   + .470, .108, .004   − .530, .143, .005 −.095   C (.041)   24/20, 13/10   + .468, .115, .004   − .532, .145, .006 −.096   B (.002) (.005) (.033) (.009)   13/10, 13/9   + .465, .134, .005   − .535, .159, .009 −.099   (.004) (.011) (.042)   24/21, 13/9   + .465, .121, .005   − .535, .150, .006 −.100   R (.005) (.011) (.025) (.024)   24/21, 6/2*   + .460, .113, .004   − .540, .144, .007 −.113   (.019) (.020) (.051) (.023)   13/6   + .455, .118, .004   − .545, .157, .007 −.132   (.037) (.031) (.052) (.059)   13/10, 6/2*   + .456, .122, .004   − .544, .166, .010 −.138   (.043) (.029) (.043) (.074)
After played 24/18		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/21, 24/20   + .463, .102, .004   − .537, .120, .004 −.092   (.022)   24/21, 13/9   + .461, .115, .004   − .539, .134, .006 −.099   R (.007) (.004) (.032)   24/20, 13/10   + .455, .110, .004   − .545, .131, .006 −.113   (.021) (.015) (.022) (.038)   24/20, 8/5   + .450, .111, .004   − .550, .141, .007 −.132   (.040) (.026) (.029) (.067)   13/6   + .446, .115, .004   − .554, .144, .006 −.139   (.047) (.034) (.029) (.082)   24/21, 8/4   + .447, .110, .004   − .553, .141, .007 −.141   (.049) (.032) (.038) (.076)
After played 13/8, 6/5		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/20*, 13/10   + .543, .162, .009   − .457, .110, .004 +.143   RDB   24/21, 24/20*   + .540, .151, .009   − .460, .111, .004 +.126   (.017) (.006) (.027) (.007)
After played 24/22, 13/8		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/20, 6/3*   + .470, .117, .004   − .530, .145, .007 −.090   B (.002) (.039)   13/9, 6/3*   + .471, .136, .005   − .529, .163, .011 −.090   (.000) (.034)   24/21, 24/20   + .465, .106, .004   − .535, .142, .005 −.106   R (.016) (.011) (.071) (.004)   24/20, 13/10   + .458, .114, .004   − .542, .149, .007 −.121   (.031) (.025) (.069) (.032)
After played 13/8, 6/4		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/21*, 13/9   + .545, .171, .010   − .455, .115, .005 +.151   R   24/21*, 24/20   + .540, .151, .009   − .460, .111, .004 +.126   (.025) (.009) (.048) (.002)
After played 13/11, 13/8		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/10, 13/9   + .475, .147, .007   − .525, .159, .009 −.064   RBC   24/21, 13/9   + .473, .131, .006   − .527, .159, .007 −.083   D (.020) (.005) (.037) (.006)   24/20, 13/10   + .466, .129, .006   − .534, .172, .008 −.112   (.049) (.018) (.055) (.046)
After played 8/3, 6/3		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/21, 13/9   + .459, .125, .005   − .541, .176, .008 −.135   (.016)   13/10, 13/9   + .455, .138, .006   − .545, .179, .012 −.137   RBC (.002) (.009) (.015)   24/21, 24/20   + .459, .115, .006   − .541, .176, .007 −.144   (.010) (.001) (.037) (.002)   24/20, 13/10   + .455, .122, .006   − .545, .176, .008 −.145   (.011) (.007) (.030) (.008)
After played 13/10, 13/8		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/10, 13/9   + .471, .142, .006   − .529, .165, .010 −.085   RD (.005)   24/21, 13/9   + .473, .133, .007   − .527, .172, .008 −.095   (.010) (.014) (.011)   24/20, 13/10   + .463, .123, .006   − .537, .166, .007 −.119   (.034) (.020) (.054) (.018)
After played 24/20, 13/8		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/9, 8/5*   + .466, .136, .005   − .534, .167, .012 −.106   BC (.030)   24/20, 8/5*   + .462, .119, .004   − .538, .148, .007 −.108   R (.001) (.007) (.041)   8/5*/1*   + .454, .127, .004   − .546, .159, .008 −.127   (.021) (.023) (.040) (.037)   24/21, 24/20   + .450, .093, .003   − .550, .138, .005 −.147   (.041) (.032) (.118) (.005)   24/21, 13/9   + .448, .118, .004   − .552, .159, .008 −.149   (.043) (.037) (.072) (.051)
After played 13/9, 13/8		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/10, 13/9   + .464, .141, .006   − .536, .170, .011 −.105   RDB   24/21, 13/9   + .462, .125, .005   − .538, .172, .008 −.125   (.019) (.004) (.036) (.007)   24/20, 13/10   + .460, .128, .006   − .540, .172, .008 −.126   (.020) (.009) (.034) (.013)   13/9, 8/5   + .454, .133, .006   − .546, .181, .014 −.149   (.044) (.022) (.037) (.045)
After played 13/7, 8/7		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/21, 13/9   + .449, .117, .004   − .551, .163, .007 −.151   DBC (.001) (.007)   24/21, 24/20   + .450, .102, .004   − .550, .160, .006 −.161   (.010) (.029)   24/20, 13/10   + .445, .113, .005   − .555, .166, .008 −.165   (.014) (.008) (.014) (.021)   13/10, 13/9   + .436, .128, .005   − .564, .167, .010 −.172   R (.021) (.028) (.004) (.042)
After played 24/18, 13/11		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/21, 13/9   + .445, .114, .004   − .555, .149, .007 −.148   RDBC (.024)   24/21, 24/20   + .444, .099, .004   − .556, .136, .005 −.150   (.002) (.002) (.032)   24/20, 13/10   + .436, .105, .004   − .564, .150, .007 −.178   (.030) (.019) (.037) (.046)   24/21, 8/4   + .432, .109, .004   − .568, .158, .008 −.190   (.042) (.026) (.037) (.068)
After played 24/16		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/21, 13/9*   + .523, .150, .006   − .477, .121, .005 +.076   RB (.018)   13/10, 13/9*   + .520, .162, .007   − .480, .131, .007 +.070   (.006) (.006) (.028)
After played 13/5		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/20*, 13/10   + .551, .161, .009   − .449, .114, .004 +.153   R   24/21, 24/20*   + .544, .149, .008   − .456, .113, .004 +.130   (.023) (.012) (.035) (.011)
After played 24/18, 13/10		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/21, 13/9   + .439, .112, .005   − .561, .158, .007 −.170   RC (.005)   24/20, 13/10   + .438, .105, .004   − .562, .154, .007 −.176   B (.006) (.002) (.016)   24/21, 24/20   + .431, .104, .005   − .569, .158, .006 −.192   (.023) (.016) (.032) (.022)   8/1*   + .420, .117, .004   − .580, .162, .009 −.210   D (.040) (.038) (.028) (.053)   13/10, 8/4   + .424, .117, .005   − .576, .173, .012 −.215   (.045) (.031) (.020) (.067)   13/6   + .419, .108, .004   − .581, .161, .008 −.219   (.049) (.041) (.048) (.054)
After played 24/15		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/20, 13/10*   + .523, .140, .006   − .477, .115, .004 +.071   R (.037)   13/10*, 13/9   + .520, .162, .007   − .480, .131, .007 +.070   B (.002) (.006) (.038)
After played 8/2, 6/2		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/10, 13/9   + .479, .147, .007   − .521, .173, .011 −.074   RB   24/21, 13/9   + .476, .133, .006   − .524, .176, .008 −.094   (.020) (.006) (.034) (.012)   24/20, 13/10   + .472, .129, .006   − .528, .178, .008 −.108   (.034) (.013) (.049) (.024)
After played 24/18, 13/9		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/21, 13/9   + .435, .107, .004   − .565, .157, .008 −.184   RB   24/20, 8/5   + .432, .110, .005   − .568, .165, .008 −.195   (.011) (.006) (.001) (.022)   24/20, 13/10   + .432, .103, .004   − .568, .157, .008 −.195   (.011) (.007) (.016) (.006)   24/21, 24/20   + .428, .096, .004   − .572, .151, .006 −.200   (.016) (.013) (.035) (.001)   8/1*   + .418, .117, .004   − .582, .165, .009 −.218   D (.035) (.035) (.016) (.051)
After played 24/14		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/20, 13/10   + .454, .114, .004   − .546, .126, .006 −.107   BC (.006)   24/21, 13/9   + .450, .115, .004   − .550, .128, .006 −.114   R (.008) (.007) (.010) (.010)   13/10, 13/9   + .443, .127, .004   − .557, .136, .007 −.125   (.019) (.021) (.040)   24/21, 24/20   + .446, .096, .003   − .554, .121, .005 −.134   (.028) (.015) (.057) (.005)
After played 24/13		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/21, 13/9   + .448, .114, .004   − .552, .124, .005 −.115   RDB (.011)   13/10, 13/9   + .443, .124, .004   − .557, .132, .007 −.125   (.010) (.010) (.026)   24/20, 13/10   + .447, .110, .004   − .553, .130, .005 −.127   C (.012) (.002) (.020) (.014)   24/21, 24/20   + .443, .095, .003   − .557, .122, .004 −.143   (.027) (.011) (.060) (.007)

Summary

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

 

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