Opening Reply 5-4

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   24/20, 13/8   + .475, .123, .005   − .525, .149, .005 −.075   RBC (.001)   24/15   + .476, .112, .005   − .524, .157, .006 −.094   (.019) (.020) (.016)   13/9, 13/8   + .463, .134, .005   − .537, .154, .007 −.095   (.020) (.025) (.002) (.034)   24/20, 6/1*   + .464, .118, .004   − .536, .153, .006 −.108   (.033) (.022) (.032) (.030)   13/8, 6/2*   + .461, .124, .005   − .539, .154, .008 −.111   (.036) (.030) (.027) (.040)
After played 13/11, 6/5		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/20*, 13/8   + .537, .172, .012   − .463, .117, .004 +.136   RB   24/20*/15   + .536, .156, .010   − .464, .125, .005 +.109   D (.028) (.001) (.032) (.018)
After played 8/5, 6/5		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/9, 13/8   + .414, .122, .006   − .586, .188, .010 −.241   RDB
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   24/20, 13/8   + .466, .115, .005   − .534, .148, .005 −.103   (.036) (.017) (.060) (.015)   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   24/20, 6/1*   + .472, .124, .005   − .528, .153, .007 −.087   B (.001) (.000) (.003)   24/20, 13/8   + .472, .120, .005   − .528, .151, .005 −.088   RC (.001) (.002) (.008)   13/9, 13/8   + .461, .135, .006   − .539, .162, .008 −.107   (.020) (.022) (.042)   24/15   + .473, .110, .005   − .527, .162, .006 −.107   (.020) (.026) (.019)   13/8, 6/2*   + .458, .125, .005   − .542, .162, .009 −.125   (.038) (.030) (.026) (.050)
After played 24/20, 6/5		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/20*, 13/8   + .538, .145, .007   − .462, .105, .003 +.120   R   24/20*/15   + .531, .138, .007   − .469, .122, .004 +.081   (.038) (.013) (.028) (.048)   24/20*, 6/1*   + .522, .138, .005   − .478, .111, .004 +.071   (.049) (.033) (.048) (.044)
After played 13/9, 6/5		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/20*, 13/8   + .546, .183, .014   − .454, .115, .004 +.170   RB   24/20*/15   + .542, .158, .010   − .458, .124, .005 +.123   D (.047) (.009) (.059) (.026)
After played 8/4, 6/4		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/20, 13/8   + .447, .113, .005   − .553, .169, .007 −.164   RDBC   13/9, 13/8   + .428, .129, .007   − .572, .187, .010 −.204   (.041) (.037) (.005) (.073)
After played 24/21, 24/20		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/20, 13/8   + .474, .099, .003   − .526, .119, .004 −.073   R (.024)   13/4*   + .471, .115, .004   − .529, .135, .006 −.081   (.008) (.006) (.038)
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   24/20, 13/8   + .461, .117, .005   − .539, .156, .006 −.118   (.037) (.020) (.062) (.016)   24/20, 6/1*   + .460, .118, .004   − .540, .157, .007 −.122   (.041) (.022) (.060) (.021)
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   24/20, 13/8   + .482, .117, .005   − .518, .139, .005 −.059   RBC (.005) (.002)   24/15   + .485, .110, .004   − .515, .148, .005 −.069   (.010) (.010) (.012)   13/9, 13/8   + .468, .132, .005   − .532, .149, .007 −.083   (.025) (.034) (.048)   24/20, 6/1*   + .468, .114, .003   − .532, .140, .006 −.092   (.034) (.034) (.036) (.030)
After played 24/18		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/20, 13/8   + .481, .115, .004   − .519, .119, .004 −.043   R (.006)   24/20, 6/1*   + .476, .123, .004   − .524, .121, .005 −.049   (.006) (.010) (.015)
After played 13/8, 6/5		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/20*, 13/8   + .548, .161, .009   − .452, .110, .004 +.153   RB (.002)   24/20*/15   + .549, .151, .008   − .451, .119, .004 +.134   D (.019) (.018) (.017)
After played 24/22, 13/8		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/20, 13/8   + .476, .115, .004   − .524, .142, .005 −.076   RB (.015)   24/15   + .471, .102, .004   − .529, .147, .005 −.105   (.030) (.010) (.053) (.021)   24/20, 6/1*   + .462, .114, .003   − .538, .143, .006 −.108   (.032) (.028) (.045) (.031)   24/20, 8/3*   + .460, .117, .004   − .540, .146, .007 −.112   (.036) (.031) (.042) (.040)   13/9, 8/3*   + .462, .137, .005   − .538, .167, .011 −.113   (.037) (.028) (.079)
After played 13/8, 6/4		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/20, 13/8   + .470, .119, .005   − .530, .150, .005 −.091   R (.018)   13/9, 13/8   + .460, .137, .006   − .540, .165, .008 −.109   (.017) (.019) (.050)   24/15   + .463, .106, .004   − .537, .166, .006 −.136   (.045) (.015) (.059) (.048)
After played 13/11, 13/8		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/9, 13/8   + .470, .143, .006   − .530, .160, .008 −.080   RDBC (.008) (.007)   24/20, 13/8   + .473, .126, .006   − .527, .164, .006 −.093   (.014) (.002) (.028) (.010)   24/15   + .474, .114, .005   − .526, .160, .006 −.100   (.021) (.050)   13/4   + .455, .132, .005   − .545, .163, .009 −.125   (.046) (.038) (.052) (.043)
After played 8/3, 6/3		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/20, 13/8   + .466, .122, .005   − .534, .167, .007 −.114   RBC (.017)   13/9, 13/8   + .457, .140, .007   − .544, .178, .010 −.128   (.014) (.019) (.042)
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   24/20, 13/8   + .462, .101, .004   − .538, .137, .005 −.114   RBC (.013)   13/9, 13/8   + .444, .125, .004   − .556, .153, .008 −.144   (.030) (.035) (.068)   24/20, 6/1*   + .450, .098, .003   − .550, .141, .006 −.145   (.032) (.023) (.042) (.030)   24/15   + .452, .091, .003   − .548, .149, .005 −.156   (.042) (.020) (.053) (.043)
After played 13/9, 13/8		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/9, 13/8   + .462, .139, .006   − .538, .170, .009 −.111   DB (.013) (.013)   24/20, 13/8   + .463, .119, .005   − .537, .165, .006 −.121   (.011) (.011) (.038) (.001)   24/15   + .468, .113, .005   − .532, .170, .006 −.122   R (.011) (.039)   13/4   + .447, .129, .005   − .553, .176, .010 −.158   (.047) (.044) (.050) (.055)
After played 13/7, 8/7		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/20, 13/8   + .450, .110, .004   − .550, .158, .006 −.150   RC (.008)   24/15   + .449, .102, .004   − .551, .164, .006 −.165   DB (.015) (.000) (.024) (.012)   13/9, 13/8   + .435, .129, .005   − .565, .166, .008 −.170   (.019) (.028) (.044)
After played 24/18, 13/11		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/20, 6/1*   + .460, .119, .004   − .540, .142, .006 −.105   RDBC (.003)   24/20, 13/8   + .454, .111, .004   − .546, .134, .005 −.117   (.012) (.013) (.029)
After played 24/16		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/9*, 13/8   + .521, .159, .007   − .479, .126, .005 +.076   RB
After played 13/5		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/20*, 13/8   + .555, .158, .009   − .445, .111, .004 +.163   R   24/20*/15   + .554, .148, .008   − .446, .120, .004 +.139   (.024) (.003) (.023) (.022)
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   24/20, 13/8   + .458, .113, .005   − .542, .126, .005 −.098   R (.005)   24/20, 6/1*   + .452, .114, .003   − .548, .131, .006 −.115   B (.017) (.011) (.012) (.021)   13/9, 13/8   + .449, .124, .004   − .551, .135, .007 −.116   (.018) (.018) (.036)
After played 8/2, 6/2		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/9, 13/8   + .481, .147, .007   − .519, .168, .009 −.061   RB (.001)   24/20, 13/8   + .481, .129, .006   − .519, .167, .006 −.078   (.017) (.001) (.037)
After played 24/18, 13/9		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/20, 6/1*   + .458, .126, .004   − .542, .148, .007 −.108   RDB   24/20, 13/8   + .448, .106, .004   − .552, .139, .006 −.140   (.032) (.021) (.062) (.005)
After played 24/14		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/20, 13/8   + .457, .112, .004   − .543, .124, .005 −.100   RBC   24/20, 6/1*   + .449, .111, .003   − .551, .132, .006 −.126   (.027) (.016) (.017) (.032)   13/9, 13/8   + .444, .121, .004   − .556, .136, .007 −.130   (.031) (.026) (.008) (.050)
After played 24/13		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/20, 13/8   + .453, .106, .004   − .547, .121, .004 −.109   RBC   13/9, 13/8   + .441, .117, .004   − .559, .128, .006 −.133   (.024) (.025) (.003) (.040)   24/20, 6/1*   + .443, .107, .003   − .557, .124, .006 −.133   D (.024) (.019) (.017) (.026)   24/15   + .443, .096, .003   − .557, .136, .005 −.155   (.047) (.020) (.040) (.050)

Summary

Opening Play   Reply 24/20, 13/8 13/9, 13/8 24/15 24/20, 6/1 13/4   24/23, 13/11           13/11, 6/5 *20           8/5, 6/5           24/21, 13/11         *4   13/11, 13/10     *15       24/23, 13/9     *1     24/20, 6/5 *20           13/9, 6/5 *20           8/4, 6/4           24/21, 24/20           24/21, 13/9         *4   24/20, 13/10     *15       13/10, 13/9     *15       24/23, 13/8           24/18           13/8, 6/5 *20           24/22, 13/8           13/8, 6/4           13/11, 13/8           8/3, 6/3           13/10, 13/8     *15       24/20, 13/8           13/9, 13/8           13/7, 8/7           24/18, 13/11       *1     24/16   *9         13/5 *20           24/18, 13/10     *15       24/15           8/2, 6/2           24/18, 13/9       *1     24/14           24/13           24/20, 13/8 13/9, 13/8 24/15 24/20, 6/1 13/4

 

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