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:

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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