Opening Reply 6-4

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:

After

played
24/23, 13/11
  Reply
   PLAY W      G     BG     EQUITY VOTES CL DMP GG GS
  24/14*   + .553, .141, .007
  − .447, .122, .004

+.129   RBC
 
After

played
13/11, 6/5
  Reply
   PLAY W      G     BG     EQUITY VOTES CL DMP GG GS
  24/20*/14*   + .594, .210, .017
  − .406, .093, .003

+.319   RDB
 
After

played
8/5, 6/5
  Reply
   PLAY W      G     BG     EQUITY VOTES CL DMP GG GS
  24/14   + .431, .098, .004
  − .569, .184, .007

−.226   DBC (.021)
  8/2, 6/2   + .413, .127, .006
  − .587, .197, .009

−.248   (.022) (.037) (.063)
  24/18, 13/9   + .424, .108, .005
  − .576, .201, .009

−.250   R (.024) (.015) (.016) (.049)
 
After

played
24/21, 13/11
  Reply
   PLAY W      G     BG     EQUITY VOTES CL DMP GG GS
  24/14*   + .540, .130, .006
  − .460, .123, .004

+.089   RBC
 
After

played
13/11, 13/10
  Reply
   PLAY W      G     BG     EQUITY VOTES CL DMP GG GS
  24/14*   + .551, .151, .009
  − .449, .129, .005

+.128   RDB
 
After

played
24/23, 13/9
  Reply
   PLAY W      G     BG     EQUITY VOTES CL DMP GG GS
  8/2*, 6/2   + .507, .166, .008
  − .493, .143, .006

+.039   RBC
 
After

played
24/20, 6/5
  Reply
   PLAY W      G     BG     EQUITY VOTES CL DMP GG GS
  24/20*/14   + .535, .137, .007
  − .465, .122, .004

+.087   R
  24/20*, 13/7   + .514, .134, .006
  − .486, .106, .004

+.058   (.030) (.042) (.047) (.010)
  24/20*, 24/18   + .522, .123, .005
  − .478, .124, .004

+.045   (.042) (.025) (.053) (.028)
 
After

played
13/9, 6/5
  Reply
   PLAY W      G     BG     EQUITY VOTES CL DMP GG GS
  24/20*/14   + .548, .159, .010
  − .452, .122, .004

+.139   RDB
  24/20*, 13/7   + .528, .172, .012
  − .472, .119, .005

+.116   (.023) (.041) (.015) (.035)
  24/20*, 24/18   + .535, .161, .011
  − .465, .125, .005

+.114   (.026) (.026) (.022) (.032)
 
After

played
8/4, 6/4
  Reply
   PLAY W      G     BG     EQUITY VOTES CL DMP GG GS
  8/2, 6/2   + .431, .136, .007
  − .569, .190, .010

−.195   C (.018) (.029)
  24/14   + .440, .101, .004
  − .560, .185, .007

−.206   DB (.011) (.053)
  24/18, 13/9   + .436, .115, .005
  − .564, .202, .010

−.220   R (.025) (.009) (.034) (.043)
 
After

played
24/21, 24/20
  Reply
   PLAY W      G     BG     EQUITY VOTES CL DMP GG GS
  8/2, 6/2   + .459, .118, .004
  − .541, .132, .006

−.099   R (.001) (.001)
  13/3   + .459, .113, .004
  − .541, .132, .005

−.103   (.004) (.009)
  24/20, 13/7   + .453, .108, .004
  − .547, .129, .006

−.118   (.019) (.013) (.032) (.006)
  13/7, 8/4*   + .455, .117, .004
  − .545, .150, .009

−.128   (.029) (.009) (.008) (.044)
  24/18, 8/4*   + .458, .098, .003
  − .542, .151, .007

−.141   (.042) (.003) (.041) (.041)
  24/18, 6/2   + .453, .099, .004
  − .547, .147, .006

−.143   (.043) (.012) (.047) (.040)
  24/20, 24/18   + .453, .083, .003
  − .547, .133, .005

−.146   (.047) (.013) (.082) (.014)
 
After

played
24/21, 13/9
  Reply
   PLAY W      G     BG     EQUITY VOTES CL DMP GG GS
  24/14   + .457, .099, .004
  − .543, .157, .006

−.147   RBC (.035)
  8/2, 6/2   + .447, .127, .005
  − .553, .165, .007

−.148   (.001) (.020) (.036)
  24/18, 8/4*   + .448, .116, .005
  − .552, .183, .010

−.175   (.029) (.017) (.019) (.069)
  13/7, 8/4*   + .443, .126, .005
  − .557, .186, .014

−.183   (.037) (.028) (.009) (.085)
  24/20, 13/7   + .437, .114, .004
  − .563, .169, .009

−.185   (.039) (.039) (.045) (.063)
  13/3   + .433, .117, .005
  − .567, .170, .009

−.191   (.044) (.047) (.047) (.072)
 
After

played
24/20, 13/10
  Reply
   PLAY W      G     BG     EQUITY VOTES CL DMP GG GS
  8/2, 6/2   + .443, .121, .004
  − .557, .159, .007

−.157   B (.014) (.012)
  24/14   + .449, .094, .004
  − .551, .160, .006

−.169   R (.013) (.039)
  24/18, 13/9   + .442, .114, .005
  − .558, .178, .009

−.183   (.026) (.014) (.013) (.050)
 
After

played
13/10, 13/9
  Reply
   PLAY W      G     BG     EQUITY VOTES CL DMP GG GS
  24/14   + .472, .113, .006
  − .528, .175, .006

−.118   RDB (.022)
  24/18, 13/9   + .466, .130, .007
  − .534, .181, .009

−.121   (.003) (.012) (.024)
  8/2, 6/2   + .443, .137, .007
  − .557, .187, .009

−.168   (.050) (.059) (.034) (.084)
 
After

played
24/23, 13/8
  Reply
   PLAY W      G     BG     EQUITY VOTES CL DMP GG GS
  8/2*, 6/2   + .506, .160, .006
  − .494, .138, .006

+.034   RBC
 
After

played
24/18
  Reply
   PLAY W      G     BG     EQUITY VOTES CL DMP GG GS
  24/20, 13/7*   + .510, .139, .005
  − .490, .115, .004

+.046   R (.018)
  13/9, 13/7*   + .502, .156, .007
  − .498, .139, .008

+.020   (.026) (.016) (.065)
 
After

played
13/8, 6/5
  Reply
   PLAY W      G     BG     EQUITY VOTES CL DMP GG GS
  24/20*/14   + .550, .147, .008
  − .450, .118, .004

+.134   RDB
  24/20*, 13/7   + .527, .155, .009
  − .473, .111, .004

+.102   (.032) (.048) (.032) (.035)
  24/20*, 24/18   + .537, .140, .007
  − .463, .123, .004

+.095   (.039) (.027) (.042) (.036)
 
After

played
24/22, 13/8
  Reply
   PLAY W      G     BG     EQUITY VOTES CL DMP GG GS
  13/3*   + .467, .132, .005
  − .533, .153, .008

−.089   B (.006) (.019)
  24/14   + .470, .107, .004
  − .530, .146, .005

−.100   R (.011) (.044)
  8/2, 6/2   + .462, .133, .004
  − .538, .154, .007

−.101   (.012) (.017) (.011) (.033)
  24/18, 13/9   + .456, .110, .004
  − .544, .155, .007

−.136   (.047) (.028) (.067) (.046)
 
After

played
13/8, 6/4
  Reply
   PLAY W      G     BG     EQUITY VOTES CL DMP GG GS
  24/14   + .474, .107, .005
  − .526, .158, .005

−.105   R (.024)
  8/2, 6/2   + .453, .139, .007
  − .547, .171, .008

−.126   (.021) (.041) (.066)
  24/20, 13/7   + .453, .118, .005
  − .547, .161, .008

−.141   (.036) (.042) (.043) (.048)
  13/9, 13/7   + .451, .136, .006
  − .549, .176, .011

−.144   (.039) (.046) (.012) (.082)
  24/18, 13/9   + .457, .120, .005
  − .543, .179, .008

−.147   (.042) (.033) (.030) (.073)
 
After

played
13/11, 13/8
  Reply
   PLAY W      G     BG     EQUITY VOTES CL DMP GG GS
  24/14*   + .549, .139, .007
  − .451, .124, .004

+.116   RDBC
 
After

played
8/3, 6/3
  Reply
   PLAY W      G     BG     EQUITY VOTES CL DMP GG GS
  8/2, 6/2   + .454, .145, .007
  − .546, .182, .010

−.131   BC (.004) (.012)
  24/14   + .456, .104, .004
  − .544, .178, .007

−.163   (.032) (.077)
  24/18, 13/9   + .455, .123, .006
  − .545, .200, .010

−.172   R (.041) (.003) (.043) (.047)
 
After

played
13/10, 13/8
  Reply
   PLAY W      G     BG     EQUITY VOTES CL DMP GG GS
  24/18, 13/9   + .474, .127, .006
  − .526, .166, .007

−.093   R (.002)
  24/14   + .472, .112, .005
  − .528, .164, .005

−.108   D (.015) (.003) (.034)
  8/2, 6/2   + .453, .140, .006
  − .547, .172, .008

−.129   (.036) (.042) (.017) (.055)
  13/9, 13/7   + .457, .136, .006
  − .543, .174, .012

−.132   (.039) (.034) (.017) (.052)
 
After

played
24/20, 13/8
  Reply
   PLAY W      G     BG     EQUITY VOTES CL DMP GG GS
  8/2, 6/2   + .451, .119, .004
  − .549, .148, .006

−.130   BC
  24/14   + .450, .092, .003
  − .550, .152, .005

−.163   R (.033) (.003) (.057) (.011)
 
After

played
13/9, 13/8
  Reply
   PLAY W      G     BG     EQUITY VOTES CL DMP GG GS
  24/14   + .472, .112, .005
  − .528, .167, .006

−.112   RDB (.022)
  24/18, 13/9   + .469, .126, .006
  − .531, .180, .008

−.118   (.006) (.006) (.032)
  8/2, 6/2   + .452, .141, .006
  − .548, .177, .009

−.134   (.023) (.041) (.004) (.060)
 
After

played
13/7, 8/7
  Reply
   PLAY W      G     BG     EQUITY VOTES CL DMP GG GS
  24/14   + .452, .102, .004
  − .548, .160, .006

−.156   RDBC (.025)
  8/2, 6/2   + .435, .132, .005
  − .565, .170, .008

−.171   (.015) (.034) (.054)
 
After

played
24/18, 13/11
  Reply
   PLAY W      G     BG     EQUITY VOTES CL DMP GG GS
  24/14*   + .532, .128, .006
  − .468, .118, .004

+.076   RDBC
 
After

played
24/16
  Reply
   PLAY W      G     BG     EQUITY VOTES CL DMP GG GS
  24/18, 13/9*   + .519, .137, .006
  − .481, .127, .005

+.049   RB (.004)
  13/9*, 13/7   + .502, .156, .007
  − .498, .139, .008

+.020   (.029) (.033) (.059)
 
After

played
13/5
  Reply
   PLAY W      G     BG     EQUITY VOTES CL DMP GG GS
  24/20*/14   + .556, .144, .007
  − .444, .118, .004

+.141   R
  24/20*, 13/7   + .533, .152, .008
  − .467, .113, .004

+.109   (.031) (.045) (.028) (.036)
  24/20*, 24/18   + .540, .142, .008
  − .460, .128, .004

+.099   (.042) (.031) (.034) (.051)
 
After

played
24/18, 13/10
  Reply
   PLAY W      G     BG     EQUITY VOTES CL DMP GG GS
  24/20, 13/7*   + .498, .138, .006
  − .502, .131, .005

+.005   RDBC (.007)
  13/9, 13/7*   + .489, .151, .007
  − .511, .152, .009

−.024   (.029) (.018) (.061)
 
After

played
24/15
  Reply
   PLAY W      G     BG     EQUITY VOTES CL DMP GG GS
  24/18, 13/9   + .465, .114, .004
  − .535, .131, .006

−.088   RB (.017)
  8/2, 6/2   + .452, .135, .004
  − .548, .136, .006

−.099   (.011) (.026) (.037)
  24/20, 13/7   + .447, .119, .004
  − .553, .133, .006

−.121   (.034) (.036) (.042) (.041)
 
After

played
8/2, 6/2
  Reply
   PLAY W      G     BG     EQUITY VOTES CL DMP GG GS
  8/2, 6/2   + .475, .152, .007
  − .525, .172, .009

−.072   RB
 
After

played
24/18, 13/9
  Reply
   PLAY W      G     BG     EQUITY VOTES CL DMP GG GS
  24/20, 13/7*   + .500, .142, .007
  − .500, .135, .006

+.007   RDB
  13/9, 13/7*   + .486, .150, .007
  − .514, .156, .009

−.036   (.043) (.026) (.009) (.069)
 
After

played
24/14
  Reply
   PLAY W      G     BG     EQUITY VOTES CL DMP GG GS
  24/18, 13/9   + .455, .112, .004
  − .545, .135, .006

−.114   RB (.018)
  8/2, 6/2   + .445, .132, .004
  − .555, .136, .006

−.117   C (.003) (.020) (.022)
  24/20, 13/7   + .444, .117, .004
  − .556, .135, .006

−.133   (.019) (.023) (.032) (.023)
 
After

played
24/13
  Reply
   PLAY W      G     BG     EQUITY VOTES CL DMP GG GS
  8/2, 6/2   + .446, .128, .004
  − .554, .129, .006

−.112   C (.013) (.020)
  24/18, 13/9   + .452, .106, .004
  − .548, .126, .005

−.116   RDB (.004) (.031)
  24/20, 13/7   + .441, .114, .004
  − .559, .132, .006

−.139   (.027) (.023) (.038) (.037)
  24/14   + .447, .095, .003
  − .553, .133, .005

−.146   (.034) (.012) (.065) (.025)
 

 

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

 

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