Opening Reply 2-2

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
  13/11(2), 6/4(2)   + .553, .168, .008
  − .447, .128, .006

+.149   RBC (.048)
  24/20(2)   + .539, .135, .005
  − .461, .090, .003

+.125   (.024) (.027) (.094)
  24/22(2), 6/4(2)   + .538, .134, .004
  − .462, .090, .003

+.121   (.028) (.031) (.099) (.004)
 
After

played
13/11, 6/5
  Reply
   PLAY W      G     BG     EQUITY VOTES CL DMP GG GS
  24/20*, 6/4(2)   + .597, .215, .019
  − .403, .090, .003

+.334   RDB
 
After

played
8/5, 6/5
  Reply
   PLAY W      G     BG     EQUITY VOTES CL DMP GG GS
  24/22(2), 6/4(2)   + .494, .132, .005
  − .506, .113, .004

+.008   RDBC (.014) (.065)
  13/11(2), 6/4(2)   + .502, .158, .007
  − .498, .156, .007

+.005   (.003) (.071)
  24/22, 13/11, 6/4(2)   + .488, .141, .006
  − .512, .150, .007

−.033   (.041) (.027) (.060) (.086)
 
After

played
24/21, 13/11
  Reply
   PLAY W      G     BG     EQUITY VOTES CL DMP GG GS
  13/11(2), 6/4*(2)   + .596, .202, .011
  − .404, .105, .005

+.296   RBC
  24/22, 13/11, 6/4*(2)   + .587, .191, .010
  − .413, .105, .005

+.265   (.030) (.019) (.041) (.017)
 
After

played
13/11, 13/10
  Reply
   PLAY W      G     BG     EQUITY VOTES CL DMP GG GS
  13/11(2), 6/4(2)   + .547, .174, .010
  − .453, .143, .007

+.128   RB (.101)
  24/20(2)   + .539, .132, .005
  − .461, .084, .003

+.128   D (.000) (.017) (.100)
  24/22(2), 6/4(2)   + .541, .153, .007
  − .459, .112, .004

+.125   (.004) (.013) (.055) (.052)
  24/22, 13/11, 6/4(2)   + .540, .162, .009
  − .460, .139, .006

+.105   (.024) (.015) (.039) (.109)
  13/9, 6/4(2)   + .533, .171, .009
  − .467, .144, .007

+.094   (.034) (.029) (.035) (.132)
 
After

played
24/23, 13/9
  Reply
   PLAY W      G     BG     EQUITY VOTES CL DMP GG GS
  24/22(2), 6/4(2)   + .545, .155, .005
  − .455, .100, .004

+.146   RBC (.009) (.031) (.007)
  13/11(2), 6/4(2)   + .549, .166, .007
  − .451, .133, .006

+.131   (.014) (.001) (.065)
  24/16*   + .549, .144, .007
  − .451, .126, .004

+.120   (.025) (.043) (.048)
  24/20(2)   + .527, .115, .003
  − .473, .079, .002

+.091   (.054) (.044) (.145)
 
After

played
24/20, 6/5
  Reply
   PLAY W      G     BG     EQUITY VOTES CL DMP GG GS
  24/20*, 6/4(2)   + .586, .161, .008
  − .414, .085, .002

+.254   R
 
After

played
13/9, 6/5
  Reply
   PLAY W      G     BG     EQUITY VOTES CL DMP GG GS
  24/20*, 6/4(2)   + .604, .219, .020
  − .396, .090, .003

+.354   RDB
  24/20*/16*   + .589, .210, .017
  − .411, .097, .003

+.305   (.049) (.030) (.048) (.044)
 
After

played
8/4, 6/4
  Reply
   PLAY W      G     BG     EQUITY VOTES CL DMP GG GS
  24/22(2), 6/4(2)   + .519, .142, .005
  − .481, .110, .004

+.071   RB (.006) (.047) (.049)
  13/11(2), 6/4(2)   + .522, .163, .008
  − .478, .152, .008

+.055   C (.017) (.127)
  24/20(2)   + .513, .105, .003
  − .487, .080, .002

+.052   D (.019) (.017) (.133)
 
After

played
24/21, 24/20
  Reply
   PLAY W      G     BG     EQUITY VOTES CL DMP GG GS
  13/11(2), 6/4*(2)   + .577, .165, .007
  − .423, .102, .004

+.219   R
 
After

played
24/21, 13/9
  Reply
   PLAY W      G     BG     EQUITY VOTES CL DMP GG GS
  13/11(2), 6/4*(2)   + .596, .196, .010
  − .404, .108, .005

+.285   RBC
  24/22, 13/11, 6/4*(2)   + .586, .184, .009
  − .414, .110, .004

+.251   (.034) (.020) (.044) (.024)
  24/22(2), 6/4*(2)   + .580, .175, .008
  − .420, .094, .003

+.245   (.039) (.032) (.074) (.003)
  24/20, 6/4*(2)   + .580, .177, .010
  − .420, .105, .004

+.237   (.048) (.033) (.070) (.027)
 
After

played
24/20, 13/10
  Reply
   PLAY W      G     BG     EQUITY VOTES CL DMP GG GS
  13/11(2), 6/4(2)   + .524, .135, .005
  − .476, .125, .005

+.059   RB (.069)
  24/20(2)   + .508, .092, .003
  − .492, .074, .002

+.035   (.024) (.032) (.118)
  24/22(2), 6/4(2)   + .501, .111, .004
  − .499, .098, .003

+.015   (.044) (.047) (.095) (.063)
 
After

played
13/10, 13/9
  Reply
   PLAY W      G     BG     EQUITY VOTES CL DMP GG GS
  24/22(2), 6/4(2)   + .541, .159, .007
  − .459, .112, .004

+.131   RB (.000) (.018) (.032)
  13/11(2), 6/4(2)   + .541, .167, .008
  − .459, .149, .007

+.103   (.029) (.105)
  24/16*   + .540, .154, .010
  − .460, .137, .005

+.101   (.030) (.003) (.029) (.084)
  24/20(2)   + .530, .123, .004
  − .470, .085, .002

+.100   D (.031) (.023) (.111)
 
After

played
24/23, 13/8
  Reply
   PLAY W      G     BG     EQUITY VOTES CL DMP GG GS
  13/11(2), 6/4(2)   + .561, .174, .007
  − .439, .122, .006

+.174   RBC (.017)
  24/22(2), 6/4(2)   + .545, .152, .005
  − .455, .098, .004

+.146   (.028) (.031) (.074)
 
After

played
24/18
  Reply
   PLAY W      G     BG     EQUITY VOTES CL DMP GG GS
  13/11(2), 6/4(2)   + .531, .147, .005
  − .469, .109, .004

+.100   R (.072)
  24/22(2), 6/4(2)   + .517, .128, .004
  − .483, .084, .003

+.078   (.021) (.028) (.065) (.050)
  24/20(2)   + .517, .099, .003
  − .483, .060, .002

+.075   (.025) (.027) (.122)
 
After

played
13/8, 6/5
  Reply
   PLAY W      G     BG     EQUITY VOTES CL DMP GG GS
  24/20*, 6/4(2)   + .602, .191, .013
  − .398, .087, .003

+.318   RDB
 
After

played
24/22, 13/8
  Reply
   PLAY W      G     BG     EQUITY VOTES CL DMP GG GS
  13/11(2), 6/4(2)   + .552, .154, .006
  − .448, .119, .005

+.140   RB (.015)
  24/22(2), 6/4(2)   + .538, .138, .005
  − .462, .097, .003

+.117   (.023) (.029) (.062)
 
After

played
13/8, 6/4
  Reply
   PLAY W      G     BG     EQUITY VOTES CL DMP GG GS
  24/22(2), 6/4(2)   + .543, .154, .006
  − .457, .107, .004

+.134   R (.009) (.039)
  13/11(2), 6/4(2)   + .547, .170, .008
  − .453, .138, .007

+.127   (.007) (.053)
  13/9, 6/4(2)   + .534, .166, .008
  − .466, .140, .007

+.095   (.039) (.026) (.032) (.084)
  24/22, 13/11, 6/4(2)   + .533, .159, .007
  − .467, .137, .006

+.090   (.045) (.027) (.049) (.078)
 
After

played
13/11, 13/8
  Reply
   PLAY W      G     BG     EQUITY VOTES CL DMP GG GS
  13/11(2), 6/4(2)   + .561, .176, .008
  − .439, .131, .006

+.170   RBC (.054)
  24/22(2), 6/4(2)   + .552, .158, .006
  − .448, .101, .004

+.164   (.006) (.018) (.055) (.012)
  13/9, 6/4(2)   + .543, .172, .008
  − .457, .134, .007

+.124   (.046) (.037) (.045) (.098)
  24/20(2)   + .536, .128, .004
  − .464, .079, .002

+.123   D (.047) (.049) (.146)
 
After

played
8/3, 6/3
  Reply
   PLAY W      G     BG     EQUITY VOTES CL DMP GG GS
  13/11(2), 6/4(2)   + .548, .176, .008
  − .452, .143, .007

+.130   RBC
 
After

played
13/10, 13/8
  Reply
   PLAY W      G     BG     EQUITY VOTES CL DMP GG GS
  13/11(2), 6/4(2)   + .552, .172, .008
  − .448, .138, .007

+.141   R (.063)
  24/22(2), 6/4(2)   + .544, .154, .006
  − .456, .107, .004

+.136   (.005) (.017) (.054) (.018)
  13/9, 6/4(2)   + .538, .167, .008
  − .462, .139, .007

+.106   (.035) (.028) (.040) (.092)
  24/20(2)   + .530, .126, .004
  − .470, .085, .002

+.103   D (.037) (.044) (.137)
  24/22, 13/11, 6/4(2)   + .540, .159, .008
  − .460, .137, .006

+.102   (.039) (.025) (.053) (.087)
 
After

played
24/20, 13/8
  Reply
   PLAY W      G     BG     EQUITY VOTES CL DMP GG GS
  13/11(2), 6/4(2)   + .534, .139, .005
  − .466, .118, .005

+.088   RBC (.008)
  24/22(2), 6/4(2)   + .512, .115, .003
  − .488, .093, .003

+.047   (.041) (.043) (.090)
 
After

played
13/9, 13/8
  Reply
   PLAY W      G     BG     EQUITY VOTES CL DMP GG GS
  24/22(2), 6/4(2)   + .557, .163, .006
  − .443, .104, .004

+.174   RB (.010)
  13/11(2), 6/4(2)   + .552, .172, .008
  − .448, .141, .007

+.136   (.038) (.009) (.084)
 
After

played
13/7, 8/7
  Reply
   PLAY W      G     BG     EQUITY VOTES CL DMP GG GS
  13/11(2), 6/4(2)   + .533, .165, .007
  − .467, .138, .007

+.093   RBC (.092)
  24/22(2), 6/4(2)   + .524, .142, .005
  − .476, .105, .004

+.085   (.009) (.018) (.065) (.045)
  24/22, 13/11, 6/4(2)   + .526, .148, .006
  − .474, .132, .005

+.069   (.024) (.014) (.048) (.093)
  24/20(2)   + .515, .107, .003
  − .485, .074, .002

+.064   D (.030) (.036) (.153)
 
After

played
24/18, 13/11
  Reply
   PLAY W      G     BG     EQUITY VOTES CL DMP GG GS
  13/11(2), 6/4(2)   + .512, .142, .006
  − .488, .119, .005

+.049   RDBC (.088)
  24/20(2)   + .502, .097, .003
  − .498, .065, .002

+.037   (.011) (.020) (.110)
  24/22(2), 6/4(2)   + .501, .121, .004
  − .499, .090, .003

+.034   (.014) (.022) (.065) (.051)
  24/20, 6/4(2)   + .495, .125, .005
  − .505, .115, .004

+.000   (.049) (.035) (.070) (.114)
 
After

played
24/16
  Reply
   PLAY W      G     BG     EQUITY VOTES CL DMP GG GS
  13/9*, 6/4(2)   + .587, .191, .008
  − .413, .105, .004

+.263   RB
 
After

played
13/5
  Reply
   PLAY W      G     BG     EQUITY VOTES CL DMP GG GS
  24/20*, 6/4(2)   + .607, .190, .012
  − .393, .090, .003

+.322   R
 
After

played
24/18, 13/10
  Reply
   PLAY W      G     BG     EQUITY VOTES CL DMP GG GS
  13/11(2), 6/4(2)   + .513, .142, .006
  − .487, .123, .005

+.046   RBC (.078)
  24/22(2), 6/4(2)   + .502, .120, .004
  − .498, .092, .003

+.032   (.014) (.023) (.066) (.040)
  24/20(2)   + .495, .093, .002
  − .505, .066, .002

+.017   D (.029) (.037) (.135)
 
After

played
24/15
  Reply
   PLAY W      G     BG     EQUITY VOTES CL DMP GG GS
  13/11(2), 6/4(2)   + .528, .157, .006
  − .472, .118, .006

+.096   RB (.067)
  24/22(2), 6/4(2)   + .516, .133, .004
  − .484, .086, .003

+.080   (.016) (.023) (.073) (.027)
  24/20(2)   + .505, .104, .002
  − .495, .061, .002

+.053   (.042) (.046) (.152)
 
After

played
8/2, 6/2
  Reply
   PLAY W      G     BG     EQUITY VOTES CL DMP GG GS
  24/22(2), 6/4(2)   + .564, .166, .006
  − .436, .102, .004

+.196   R (.010) (.041)
  13/11(2), 6/4(2)   + .569, .182, .009
  − .431, .136, .007

+.186   B (.009) (.058)
 
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   B (.043)
  24/22(2), 6/4(2)   + .508, .127, .004
  − .492, .095, .003

+.050   RD (.018) (.040) (.047) (.030)
  13/11(2), 6/4(2)   + .507, .140, .006
  − .493, .129, .006

+.026   (.042) (.042) (.023) (.100)
  24/20(2)   + .494, .090, .002
  − .506, .066, .002

+.014   (.054) (.068) (.148)
 
After

played
24/14
  Reply
   PLAY W      G     BG     EQUITY VOTES CL DMP GG GS
  13/11*(2), 6/4(2)   + .607, .196, .009
  − .393, .100, .004

+.314   RBC
  24/22, 13/11*, 6/4(2)   + .595, .187, .008
  − .405, .098, .004

+.284   (.030) (.022) (.039) (.018)
 
After

played
24/13
  Reply
   PLAY W      G     BG     EQUITY VOTES CL DMP GG GS
  13/11(2), 6/4(2)   + .526, .158, .005
  − .474, .118, .006

+.091   RDBC (.054)
  24/22, 13/11, 6/4(2)   + .512, .149, .005
  − .488, .111, .005

+.062   (.028) (.027) (.046) (.066)
  24/22(2), 6/4(2)   + .504, .124, .003
  − .496, .079, .003

+.054   (.037) (.043) (.112) (.018)
  24/20(2)   + .489, .095, .002
  − .511, .054, .002

+.019   (.072) (.074) (.200)
 

 

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

 

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