Opening Reply 2-1

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   + .466, .112, .004   − .534, .145, .005 −.102   (.018)   24/23, 13/11   + .465, .122, .005   − .536, .153, .006 −.103   RBC (.001) (.004) (.019)   24/23, 24/22   + .459, .111, .004   − .541, .153, .006 −.125   (.023) (.015) (.033) (.030)   13/10   + .452, .119, .005   − .548, .160, .008 −.139   (.037) (.028) (.031) (.057)   13/11, 6/5   + .457, .121, .005   − .543, .175, .012 −.147   (.046) (.019) (.018) (.078)
After played 13/11, 6/5		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/23, 13/11   + .443, .119, .005   − .557, .173, .007 −.172   DB (.006)   13/11, 6/5   + .442, .123, .005   − .558, .182, .012 −.183   R (.011) (.002) (.020)   24/21   + .437, .108, .005   − .563, .174, .007 −.194   (.022) (.011) (.039) (.012)   24/23, 24/22   + .433, .108, .004   − .567, .174, .007 −.204   (.032) (.020) (.048) (.022)   13/10   + .429, .121, .005   − .571, .181, .009 −.206   (.034) (.027) (.028) (.042)
After played 8/5, 6/5		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/23, 13/11   + .421, .110, .004   − .579, .188, .009 −.239   RBC   24/23, 24/22   + .417, .101, .004   − .583, .188, .007 −.255   (.016) (.008) (.026) (.007)   24/21   + .414, .101, .004   − .586, .187, .008 −.261   (.022) (.016) (.033) (.012)   13/10   + .405, .111, .005   − .595, .191, .010 −.275   (.036) (.032) (.031) (.037)   13/11, 6/5   + .410, .107, .004   − .590, .205, .015 −.289   D (.050) (.023) (.029) (.056)
After played 24/21, 13/11		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/23, 6/4*   + .469, .125, .005   − .531, .156, .008 −.097   RBC   6/4*/3   + .458, .120, .005   − .542, .160, .009 −.128   (.030) (.022) (.031) (.029)   24/21   + .457, .102, .004   − .543, .145, .005 −.131   (.034) (.025) (.069) (.002)   24/23, 13/11   + .454, .111, .004   − .546, .153, .007 −.136   (.039) (.029) (.056) (.023)
After played 13/11, 13/10		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/23, 13/11   + .462, .128, .006   − .538, .170, .007 −.120   D (.011) (.018)   13/11, 6/5   + .468, .131, .006   − .532, .180, .012 −.120   RB (.001) (.009)   13/10   + .451, .128, .006   − .549, .174, .009 −.147   (.027) (.033) (.040) (.029)   24/23, 24/22   + .455, .119, .006   − .545, .176, .007 −.149   (.029) (.026) (.050) (.027)   24/21   + .452, .118, .006   − .548, .176, .007 −.155   (.036) (.031) (.057) (.032)
After played 24/23, 13/9		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/23, 13/11   + .458, .121, .005   − .542, .167, .007 −.131   RBC (.004)   24/21   + .457, .112, .004   − .543, .163, .006 −.139   (.008) (.004) (.022)   24/23, 24/22   + .452, .111, .004   − .548, .168, .006 −.155   (.024) (.013) (.033) (.020)   13/10   + .447, .119, .005   − .553, .167, .009 −.158   (.027) (.022) (.027) (.028)   13/11, 6/5   + .455, .118, .005   − .545, .184, .014 −.165   (.034) (.007) (.014) (.046)   24/22, 6/5   + .451, .109, .004   − .549, .183, .010 −.178   (.047) (.015) (.040) (.052)
After played 24/20, 6/5		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/22, 6/5*   + .477, .126, .006   − .523, .143, .007 −.064   R (.017)   13/11, 6/5*   + .475, .136, .007   − .525, .157, .010 −.074   (.010) (.003) (.032)
After played 13/9, 6/5		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/11, 6/5   + .443, .127, .006   − .557, .188, .013 −.183   RDB (.011)   24/23, 13/11   + .438, .118, .005   − .562, .178, .008 −.186   (.003) (.010) (.027)   24/21   + .430, .107, .005   − .570, .179, .007 −.214   (.031) (.026) (.065) (.017)   24/22, 6/5   + .437, .114, .005   − .563, .201, .011 −.219   (.036) (.011) (.037) (.048)   24/23, 24/22   + .427, .109, .005   − .573, .190, .008 −.229   (.046) (.033) (.067) (.046)
After played 8/4, 6/4		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/23, 13/11   + .439, .116, .005   − .561, .180, .008 −.190   RBC   24/23, 24/22   + .430, .105, .004   − .570, .183, .007 −.220   (.030) (.017) (.038) (.023)   13/10   + .423, .116, .005   − .577, .185, .010 −.227   (.038) (.031) (.032) (.040)   13/11, 6/5   + .432, .114, .004   − .568, .197, .015 −.229   D (.039) (.013) (.016) (.047)
After played 24/21, 24/20		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   6/5*, 6/4*   + .499, .139, .005   − .501, .150, .010 −.018   R
After played 24/21, 13/9		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/23, 6/4*   + .470, .124, .005   − .530, .163, .009 −.102   RBC   6/4*/3   + .453, .118, .005   − .547, .170, .010 −.152   (.050) (.036) (.047) (.050)
After played 24/20, 13/10		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/11, 6/5*   + .485, .134, .006   − .515, .161, .011 −.062   RB   24/22, 6/5*   + .476, .123, .005   − .524, .152, .008 −.080   (.018) (.018) (.040)
After played 13/10, 13/9		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/11, 6/5   + .469, .133, .006   − .531, .183, .013 −.119   RB   24/23, 13/11   + .454, .123, .005   − .546, .179, .008 −.150   D (.031) (.030) (.049) (.023)
After played 24/23, 13/8		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/21   + .464, .108, .004   − .536, .147, .005 −.111   C (.021)   13/10   + .458, .120, .004   − .542, .156, .008 −.123   (.012) (.013) (.010) (.031)   24/23, 13/11   + .457, .115, .004   − .543, .155, .007 −.128   R (.017) (.014) (.021) (.031)   13/11, 6/5   + .462, .121, .004   − .538, .172, .012 −.135   B (.023) (.004) (.055)   24/23, 24/22   + .455, .106, .004   − .545, .153, .005 −.139   (.027) (.019) (.045) (.031)
After played 24/18		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/11, 8/7*   + .486, .138, .005   − .514, .146, .008 −.039   R (.010)   24/22, 8/7*   + .482, .129, .005   − .518, .137, .006 −.044   (.006) (.007) (.024)
After played 13/8, 6/5		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/11, 6/5   + .451, .124, .005   − .549, .175, .012 −.158   RB (.001)   24/23, 13/11   + .444, .117, .004   − .556, .169, .007 −.166   D (.009) (.012) (.026)   13/10   + .439, .121, .005   − .561, .172, .009 −.177   (.020) (.024) (.028) (.018)   24/21   + .441, .107, .004   − .559, .166, .007 −.179   (.021) (.019) (.052) (.000)   24/23, 6/4   + .441, .118, .005   − .559, .185, .009 −.189   (.031) (.019) (.031) (.039)   24/23, 24/22   + .437, .107, .004   − .563, .169, .006 −.190   (.032) (.027) (.060) (.015)   24/22, 6/5   + .436, .108, .004   − .564, .179, .009 −.203   (.045) (.029) (.059) (.036)
After played 24/22, 13/8		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/23, 13/11   + .464, .120, .004   − .536, .152, .007 −.105   RB   24/21   + .458, .110, .004   − .542, .146, .005 −.122   (.016) (.014) (.033) (.002)   13/10   + .455, .120, .004   − .545, .156, .008 −.130   (.025) (.019) (.018) (.029)   6/3*   + .458, .119, .004   − .542, .160, .009 −.131   (.025) (.014) (.015) (.031)   24/23, 24/22   + .454, .108, .004   − .546, .152, .005 −.137   (.032) (.021) (.043) (.022)   13/11, 6/5   + .458, .119, .004   − .542, .176, .012 −.150   (.045) (.013) (.016) (.062)
After played 13/8, 6/4		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/21*   + .532, .146, .007   − .468, .115, .004 +.099   R
After played 13/11, 13/8		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/11, 6/5   + .477, .136, .005   − .523, .169, .011 −.085   RDBC   24/23, 13/11   + .465, .129, .005   − .535, .164, .007 −.109   (.024) (.024) (.039) (.016)   13/10   + .460, .131, .005   − .540, .162, .009 −.115   (.030) (.034) (.044) (.021)   24/21   + .462, .115, .004   − .538, .155, .006 −.119   (.034) (.030) (.073) (.004)
After played 8/3, 6/3		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/23, 13/11   + .460, .123, .005   − .540, .174, .008 −.134   RBC (.002)   24/21   + .454, .114, .005   − .546, .174, .007 −.155   (.020) (.012) (.033) (.012)   13/11, 6/5   + .458, .126, .005   − .542, .189, .015 −.157   (.023) (.004) (.034)   13/10   + .445, .126, .005   − .555, .177, .010 −.165   (.031) (.029) (.026) (.035)
After played 13/10, 13/8		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/11, 6/5   + .474, .133, .005   − .526, .172, .012 −.098   RD   24/23, 13/11   + .462, .125, .005   − .538, .170, .007 −.121   (.023) (.022) (.037) (.018)   13/10   + .454, .127, .005   − .546, .169, .009 −.137   (.039) (.039) (.050) (.033)
After played 24/20, 13/8		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/11, 6/5*   + .486, .134, .005   − .514, .160, .011 −.060   RBC   24/22, 6/5*   + .472, .120, .004   − .528, .151, .007 −.090   (.030) (.028) (.056) (.009)
After played 13/9, 13/8		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/11, 6/5   + .475, .133, .005   − .525, .174, .012 −.099   RDB   24/23, 13/11   + .458, .125, .005   − .542, .177, .008 −.138   (.039) (.034) (.048) (.039)
After played 13/7, 8/7		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/11, 6/5   + .447, .119, .004   − .553, .176, .011 −.169   RDB (.011)   24/23, 13/11   + .442, .116, .004   − .558, .173, .007 −.175   C (.006) (.010) (.016) (.015)   24/21   + .440, .105, .004   − .560, .163, .006 −.181   (.012) (.016) (.043)   24/23, 24/22   + .439, .107, .004   − .561, .170, .006 −.186   (.017) (.016) (.040) (.015)   13/10   + .428, .117, .004   − .572, .170, .009 −.201   (.033) (.039) (.042) (.038)   24/22, 6/5   + .436, .105, .003   − .564, .178, .008 −.206   (.037) (.022) (.051) (.038)
After played 24/18, 13/11		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/11, 8/7*   + .473, .134, .006   − .527, .157, .009 −.081   RDBC (.006)   24/22, 8/7*   + .468, .127, .005   − .532, .149, .007 −.088   (.007) (.010) (.024)
After played 24/16		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/21   + .448, .104, .003   − .552, .122, .005 −.123   RB (.012)   24/23, 24/22   + .443, .105, .004   − .557, .129, .005 −.140   (.017) (.010) (.021) (.025)   24/22, 6/5   + .442, .111, .004   − .558, .152, .007 −.160   (.037) (.011) (.009) (.071)   24/23, 13/11   + .438, .113, .004   − .562, .147, .007 −.161   (.038) (.019) (.014) (.070)   13/11, 6/5   + .442, .116, .004   − .558, .163, .011 −.170   (.047) (.011) (.094)
After played 13/5		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/11, 6/5   + .456, .126, .005   − .544, .181, .012 −.148   R   24/23, 13/11   + .447, .119, .005   − .553, .176, .008 −.165   (.017) (.018) (.033) (.008)   13/10   + .442, .122, .005   − .558, .175, .009 −.172   (.024) (.028) (.037) (.017)   24/21   + .441, .108, .004   − .559, .170, .007 −.182   (.034) (.030) (.067) (.009)   24/23, 24/22   + .438, .107, .004   − .562, .175, .007 −.195   (.047) (.037) (.075) (.027)
After played 24/18, 13/10		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/11, 8/7*   + .470, .135, .006   − .530, .160, .010 −.088   RDBC (.017)   24/22, 8/7*   + .468, .124, .005   − .532, .149, .007 −.092   (.004) (.005) (.027)
After played 24/15		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/10*   + .508, .142, .006   − .492, .131, .006 +.027   RB
After played 8/2, 6/2		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/11, 6/5   + .480, .135, .005   − .520, .183, .014 −.098   RB (.005)   13/10   + .469, .134, .005   − .531, .170, .009 −.101   (.004) (.020) (.022)   24/21   + .469, .120, .005   − .532, .170, .006 −.114   (.016) (.022) (.052) (.001)
After played 24/18, 13/9		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/22, 8/7*   + .468, .124, .005   − .532, .152, .007 −.093   (.000) (.014)   13/11, 8/7*   + .468, .131, .005   − .532, .165, .010 −.102   RDB (.009) (.027)   8/7*/5   + .456, .125, .005   − .544, .169, .011 −.139   (.045) (.025) (.037) (.060)
After played 24/14		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/23, 13/11*   + .514, .139, .005   − .486, .123, .005 +.043   RBC   13/11*/10   + .508, .142, .006   − .492, .131, .006 +.027   (.016) (.011) (.005) (.027)
After played 24/13		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/11, 6/5   + .453, .122, .004   − .547, .150, .009 −.128   RDBC (.021)   24/23, 13/11   + .446, .115, .004   − .554, .133, .006 −.129   (.001) (.014) (.029)   24/21   + .432, .099, .003   − .568, .120, .005 −.160   (.032) (.043) (.088) (.003)   13/10   + .433, .111, .004   − .567, .139, .007 −.166   (.038) (.040) (.062) (.038)   24/22, 6/5   + .436, .108, .003   − .564, .153, .007 −.176   (.049) (.033) (.062) (.059)

Summary

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

 

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