Opening Reply 5-1

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   24/23, 13/8   + .476, .122, .005   − .524, .144, .005 −.071   RBC   24/18   + .469, .113, .005   − .531, .161, .006 −.111   (.040) (.014) (.032) (.048)   24/23, 6/1*   + .459, .119, .004   − .541, .153, .007 −.119   (.048) (.035) (.040) (.052)
After played 13/11, 6/5		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/23, 13/8   + .443, .119, .005   − .557, .176, .007 −.173   DB   13/8, 6/5   + .436, .118, .005   − .564, .179, .010 −.195   R (.022) (.014) (.016) (.021)   13/7   + .427, .121, .005   − .573, .181, .010 −.210   (.037) (.030) (.027) (.041)   24/18   + .432, .105, .005   − .568, .185, .007 −.219   (.046) (.021) (.049) (.040)
After played 8/5, 6/5		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/23, 13/8   + .425, .115, .005   − .575, .185, .007 −.222   RBC   24/18   + .420, .099, .004   − .580, .196, .007 −.260   (.038) (.010) (.042) (.032)
After played 24/21, 13/11		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/23, 13/8   + .462, .110, .004   − .538, .143, .005 −.110   RBC   24/18   + .455, .104, .004   − .545, .164, .006 −.152   (.042) (.015) (.027) (.056)   24/23, 6/1*   + .445, .111, .003   − .555, .157, .007 −.160   (.050) (.034) (.033) (.062)
After played 13/11, 13/10		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/23, 13/8   + .462, .127, .006   − .538, .171, .006 −.122   D   13/8, 6/5   + .460, .127, .006   − .540, .174, .010 −.131   RB (.009) (.002) (.002) (.009)   24/18   + .459, .116, .005   − .541, .173, .007 −.141   (.019) (.005) (.027) (.009)   13/7   + .449, .125, .006   − .551, .168, .009 −.148   (.026) (.025) (.028) (.018)
After played 24/23, 13/9		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/23, 13/8   + .469, .124, .005   − .531, .160, .006 −.101   RBC   24/23, 6/1*   + .455, .119, .004   − .545, .163, .008 −.137   (.036) (.026) (.035) (.033)   24/18   + .461, .110, .004   − .539, .171, .006 −.140   (.039) (.015) (.041) (.036)
After played 24/20, 6/5		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/8, 6/5*   + .475, .128, .006   − .525, .142, .007 −.066   R (.006) (.014)   6/5*, 6/1*   + .478, .132, .005   − .522, .152, .009 −.068   (.003) (.014)
After played 13/9, 6/5		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/23, 13/8   + .437, .118, .005   − .563, .176, .007 −.184   DB (.004) (.015)   13/8, 6/5   + .439, .124, .006   − .561, .183, .010 −.185   R (.000) (.010)   24/18   + .431, .106, .005   − .569, .191, .007 −.226   (.041) (.017) (.053) (.043)
After played 8/4, 6/4		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/23, 13/8   + .444, .119, .005   − .556, .179, .007 −.174   RBC   13/8, 6/5   + .428, .115, .004   − .572, .187, .011 −.224   D (.049) (.031) (.040) (.048)
After played 24/21, 24/20		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/8, 6/5*   + .475, .118, .004   − .525, .142, .007 −.076   R   24/23, 13/8   + .454, .103, .003   − .546, .125, .005 −.116   (.040) (.043) (.073) (.010)   24/18   + .460, .088, .003   − .540, .128, .005 −.122   (.045) (.031) (.089) (.005)
After played 24/21, 13/9		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/23, 13/8   + .453, .111, .004   − .547, .157, .006 −.142   RBC   24/23, 6/1*   + .447, .116, .004   − .553, .164, .008 −.160   (.017) (.013) (.003) (.028)   24/18   + .448, .098, .004   − .552, .165, .006 −.174   (.032) (.011) (.037) (.027)   13/8, 6/5   + .439, .107, .004   − .561, .168, .010 −.188   (.045) (.028) (.035) (.049)
After played 24/20, 13/10		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/8, 6/5*   + .479, .130, .005   − .521, .150, .008 −.064   RB
After played 13/10, 13/9		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/8, 6/5   + .455, .127, .006   − .545, .179, .011 −.147   RB   24/23, 13/8   + .450, .122, .005   − .550, .177, .007 −.156   D (.009) (.010) (.020) (.005)   24/18   + .453, .111, .005   − .547, .179, .007 −.164   (.016) (.005) (.035) (.004)
After played 24/23, 13/8		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/23, 13/8   + .468, .118, .004   − .532, .149, .005 −.097   RBC   24/23, 6/1*   + .458, .118, .004   − .542, .154, .007 −.123   (.025) (.019) (.018) (.028)   24/18   + .464, .102, .004   − .536, .154, .005 −.125   (.028) (.007) (.039) (.017)   13/8, 6/5   + .456, .119, .004   − .544, .158, .009 −.132   (.035) (.023) (.021) (.042)
After played 24/18		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/7*   + .496, .139, .005   − .504, .134, .006 −.003   R   8/7*, 6/1*   + .485, .146, .004   − .515, .145, .007 −.033   (.030) (.023) (.010) (.045)
After played 13/8, 6/5		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/23, 13/8   + .446, .118, .005   − .554, .168, .006 −.159   B (.002)   13/8, 6/5   + .446, .118, .005   − .554, .167, .009 −.160   R (.001) (.000)   13/7   + .433, .118, .005   − .567, .174, .009 −.195   (.036) (.028) (.027) (.042)
After played 24/22, 13/8		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/23, 13/8   + .466, .120, .004   − .534, .148, .005 −.098   RB   24/18   + .464, .104, .004   − .536, .156, .005 −.126   (.028) (.004) (.037) (.020)   24/23, 8/3*   + .450, .120, .004   − .550, .163, .008 −.146   (.048) (.030) (.031) (.060)
After played 13/8, 6/4		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/8, 6/5   + .468, .127, .005   − .532, .160, .009 −.101   R   24/23, 13/8   + .459, .124, .005   − .541, .163, .006 −.123   (.021) (.018) (.025) (.023)
After played 13/11, 13/8		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/8, 6/5   + .469, .130, .005   − .531, .160, .009 −.096   RDBC   24/23, 13/8   + .463, .126, .005   − .537, .161, .006 −.110   (.014) (.013) (.020) (.013)   13/7   + .452, .127, .005   − .548, .164, .009 −.137   (.040) (.034) (.039) (.042)   24/18   + .460, .114, .005   − .540, .172, .007 −.140   (.044) (.019) (.050) (.042)
After played 8/3, 6/3		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/23, 13/8   + .462, .125, .005   − .538, .172, .007 −.125   RBC   13/8, 6/5   + .450, .123, .005   − .550, .178, .011 −.161   (.036) (.023) (.026) (.036)
After played 13/10, 13/8		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/8, 6/5   + .465, .127, .005   − .535, .167, .009 −.115   RD   24/23, 13/8   + .457, .122, .005   − .543, .164, .006 −.128   (.013) (.015) (.025) (.008)   24/18   + .462, .111, .005   − .538, .168, .006 −.135   (.020) (.006) (.039) (.007)   13/7   + .449, .124, .005   − .551, .169, .009 −.150   (.035) (.030) (.036) (.033)
After played 24/20, 13/8		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/8, 6/5*   + .479, .129, .004   − .521, .149, .008 −.065   RBC
After played 13/9, 13/8		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/8, 6/5   + .466, .130, .005   − .534, .169, .010 −.113   RDB   24/23, 13/8   + .455, .122, .005   − .545, .174, .007 −.144   (.031) (.022) (.036) (.032)
After played 13/7, 8/7		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/23, 13/8   + .446, .116, .004   − .554, .164, .006 −.157   C   13/8, 6/5   + .435, .113, .004   − .565, .169, .009 −.191   RD (.034) (.022) (.028) (.032)
After played 24/18, 13/11		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/7*   + .481, .135, .006   − .519, .145, .007 −.049   RB   8/7*, 6/1*   + .472, .143, .005   − .528, .156, .008 −.072   DC (.023) (.018) (.002) (.040)
After played 24/16		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/23, 13/8   + .455, .116, .004   − .545, .128, .005 −.102   B   24/18   + .451, .102, .004   − .549, .129, .005 −.127   (.025) (.009) (.039) (.010)   13/8, 6/5   + .448, .119, .004   − .552, .142, .008 −.131   R (.028) (.015) (.009) (.043)   13/7   + .437, .118, .004   − .563, .139, .007 −.150   (.048) (.037) (.034) (.059)
After played 13/5		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/8, 6/5   + .450, .121, .005   − .550, .173, .009 −.158   R   24/23, 13/8   + .448, .118, .005   − .552, .173, .007 −.161   (.003) (.004) (.009) (.003)   13/7   + .439, .120, .005   − .561, .177, .010 −.183   (.025) (.021) (.023) (.027)   24/18   + .442, .102, .004   − .558, .184, .006 −.201   (.043) (.016) (.055) (.036)
After played 24/18, 13/10		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/7*   + .479, .136, .006   − .521, .147, .007 −.053   RB   8/7*, 6/1*   + .472, .142, .005   − .528, .159, .009 −.078   DC (.024) (.015) (.003) (.040)
After played 24/15		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/23, 13/8   + .451, .114, .004   − .549, .128, .005 −.114   RB   13/8, 6/5   + .447, .117, .004   − .553, .143, .008 −.136   (.022) (.009) (.001) (.038)   24/18   + .446, .096, .003   − .554, .128, .005 −.142   (.029) (.011) (.046) (.011)   13/7   + .435, .117, .004   − .565, .141, .007 −.158   (.044) (.033) (.025) (.058)
After played 8/2, 6/2		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/8, 6/5   + .472, .132, .005   − .528, .170, .010 −.100   RB   13/7   + .457, .128, .005   − .543, .179, .011 −.143   (.043) (.030) (.037) (.047)
After played 24/18, 13/9		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/7*   + .477, .134, .006   − .523, .152, .008 −.066   RB (.001)   8/7*, 6/1*   + .469, .143, .005   − .531, .162, .009 −.085   D (.019) (.016) (.036)
After played 24/14		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/23, 13/8   + .445, .113, .003   − .555, .131, .005 −.130   (.003) (.013)   13/8, 6/5   + .445, .119, .004   − .555, .145, .008 −.139   RBC (.010) (.002) (.026)   24/18   + .447, .100, .004   − .553, .138, .005 −.146   (.016) (.036) (.010)   13/7   + .430, .115, .004   − .570, .143, .008 −.173   (.043) (.033) (.040) (.055)
After played 24/13		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/23, 13/8   + .440, .108, .003   − .560, .125, .005 −.138   C (.012)   13/8, 6/5   + .440, .115, .003   − .560, .138, .008 −.148   RB (.010) (.001) (.027)   24/18   + .437, .094, .003   − .563, .133, .005 −.166   D (.028) (.006) (.045) (.022)   13/7   + .427, .111, .003   − .573, .138, .007 −.176   (.038) (.027) (.032) (.052)

Summary

Opening Play   Reply 24/23, 13/8 13/8, 6/5 13/7 6/5, 6/1   24/23, 13/11         13/11, 6/5         8/5, 6/5         24/21, 13/11         13/11, 13/10         24/23, 13/9         24/20, 6/5   *5   *5, 1   13/9, 6/5       8/4, 6/4         24/21, 24/20   *5       24/21, 13/9         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         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         8/2, 6/2         24/18, 13/9     *7     24/14         24/13         24/23, 13/8 13/8, 6/5 13/7 6/5, 6/1

 

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