Opening Reply 5-3

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, 13/8   + .485, .121, .005   − .515, .138, .005 −.046   C (.032)   8/3, 6/3   + .481, .142, .006   − .519, .151, .007 −.049   RB (.002) (.009) (.036)
After played 13/11, 6/5		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   8/3, 6/3   + .455, .139, .007   − .545, .177, .008 −.129   RB (.004)   24/21, 13/8   + .451, .118, .006   − .549, .171, .006 −.152   D (.022) (.008) (.050)
After played 8/5, 6/5		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   8/3, 6/3   + .433, .131, .006   − .567, .185, .009 −.190   RBC   24/21, 13/8   + .426, .111, .005   − .574, .182, .007 −.223   D (.033) (.015) (.055) (.010)
After played 24/21, 13/11		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   8/3, 6/3   + .470, .132, .005   − .530, .149, .007 −.078   RBC (.004) (.031)   24/21, 13/8   + .473, .108, .004   − .527, .136, .005 −.084   (.007) (.044)
After played 13/11, 13/10		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   8/3, 6/3   + .478, .150, .008   − .522, .171, .008 −.065   RDB
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   8/5*, 6/1*   + .474, .143, .006   − .526, .158, .009 −.070   (.014)   13/5*   + .471, .137, .006   − .529, .148, .007 −.071   R (.001) (.006) (.019)
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   8/3, 6/3   + .450, .139, .007   − .550, .180, .009 −.145   RBC
After played 24/21, 24/20		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   8/3, 6/3   + .466, .118, .004   − .534, .126, .006 −.077   R (.013) (.018) (.014)   13/5*   + .473, .121, .004   − .527, .140, .007 −.077   (.000) (.029)   24/21, 13/8   + .469, .102, .003   − .531, .122, .004 −.084   (.006) (.007) (.046)   13/8, 6/3   + .456, .109, .004   − .544, .132, .006 −.113   (.035) (.033) (.056) (.047)
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   8/3, 6/3   + .459, .123, .005   − .541, .153, .007 −.114   (.045) (.029) (.054) (.036)
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   8/3, 6/3   + .487, .146, .006   − .513, .147, .007 −.029   RBC (.007)   24/21, 13/8   + .482, .118, .004   − .518, .139, .005 −.057   (.029) (.011) (.066)
After played 24/18		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/21, 13/8   + .480, .115, .004   − .520, .117, .004 −.043   (.026)   8/3, 6/3   + .477, .131, .004   − .523, .127, .005 −.043   R (.000) (.007) (.026)   24/21, 6/1*   + .466, .124, .004   − .534, .128, .006 −.075   (.032) (.028) (.036) (.051)
After played 13/8, 6/5		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   8/3, 6/3   + .461, .138, .006   − .539, .166, .008 −.107   RB (.006)   24/21, 13/8   + .456, .117, .005   − .544, .158, .006 −.131   (.024) (.010) (.054)   13/10, 13/8   + .444, .130, .006   − .556, .172, .009 −.156   D (.049) (.034) (.050) (.050)
After played 24/22, 13/8		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   8/3*, 6/3   + .526, .168, .007   − .474, .130, .006 +.092   RB
After played 13/8, 6/4		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/21*, 13/8   + .548, .159, .008   − .452, .110, .004 +.149   R (.001)   24/21*/16   + .548, .151, .008   − .452, .121, .004 +.130   (.019) (.015) (.021)
After played 13/11, 13/8		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   8/3, 6/3   + .483, .151, .007   − .517, .157, .007 −.040   RBC   24/21, 13/8   + .476, .125, .005   − .524, .151, .005 −.074   (.034) (.014) (.068) (.003)   13/10, 13/8   + .468, .138, .006   − .532, .159, .008 −.087   D (.048) (.032) (.058) (.035)
After played 8/3, 6/3		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   8/3, 6/3   + .471, .148, .007   − .529, .170, .009 −.082   RBC   24/21, 13/8   + .467, .126, .006   − .533, .172, .007 −.112   (.031) (.009) (.053) (.012)
After played 13/10, 13/8		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   8/3, 6/3   + .482, .149, .007   − .518, .163, .008 −.052   R
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 (.007)   8/3, 6/3   + .468, .122, .004   − .532, .143, .006 −.088   (.017) (.013) (.032) (.012)   24/21, 13/8   + .466, .103, .004   − .534, .135, .005 −.102   (.031) (.017) (.074)
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   8/3, 6/3   + .456, .136, .005   − .544, .165, .008 −.119   RBC (.012)   24/21, 13/8   + .453, .114, .004   − .547, .156, .006 −.137   (.019) (.005) (.051)
After played 24/18, 13/11		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   8/3, 6/3   + .458, .128, .005   − .542, .141, .006 −.098   RBC (.002) (.025)   24/21, 13/8   + .459, .111, .004   − .541, .129, .005 −.102   (.004) (.033)   24/21, 6/1*   + .452, .119, .004   − .548, .135, .006 −.114   D (.016) (.014) (.029) (.025)   13/5   + .444, .121, .004   − .556, .147, .008 −.141   (.044) (.029) (.042) (.066)
After played 24/16		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   8/3, 6/3   + .473, .137, .005   − .527, .129, .006 −.049   RB (.004)   24/21, 13/8   + .466, .115, .004   − .534, .121, .004 −.074   (.025) (.013) (.056)
After played 13/5		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   8/3, 6/3   + .464, .142, .007   − .536, .172, .009 −.105   R (.004)   24/21, 13/8   + .458, .116, .005   − .542, .164, .006 −.135   (.030) (.012) (.065)   13/10, 13/8   + .449, .132, .006   − .551, .175, .009 −.148   (.043) (.029) (.050) (.039)
After played 24/18, 13/10		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   8/3, 6/3   + .456, .128, .005   − .544, .145, .007 −.107   RBC   24/21, 13/8   + .449, .110, .004   − .551, .140, .005 −.133   (.027) (.014) (.051) (.003)   24/21, 6/1*   + .448, .118, .004   − .552, .148, .007 −.137   D (.030) (.016) (.036) (.022)
After played 24/15		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   13/10*, 13/8   + .517, .150, .006   − .483, .127, .005 +.058   RB   13/10*, 6/1*   + .499, .156, .005   − .501, .138, .007 +.014   (.044) (.035) (.024) (.059)
After played 8/2, 6/2		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   8/3, 6/3   + .491, .155, .007   − .509, .163, .009 −.028   RB   24/21, 13/8   + .485, .130, .006   − .515, .164, .005 −.063   (.034) (.011) (.060) (.012)   13/10, 13/8   + .478, .142, .006   − .522, .168, .009 −.073   (.044) (.026) (.053) (.035)
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   RDB
After played 24/14		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   8/3, 6/3   + .463, .133, .004   − .537, .133, .006 −.076   RBC (.002)   24/21, 13/8   + .455, .110, .004   − .545, .123, .005 −.105   (.029) (.016) (.063)
After played 24/13		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   8/3, 6/3   + .459, .130, .004   − .541, .127, .006 −.081   RBC (.011)   24/21, 13/8   + .453, .106, .003   − .547, .115, .004 −.104   (.023) (.012) (.060)   13/10, 13/8   + .444, .119, .004   − .556, .133, .006 −.129   (.048) (.030) (.052) (.054)

Summary

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

 

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