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
 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
 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
 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
 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
 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
 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
 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
 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
 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
 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
 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
 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
 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
 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
 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
 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
 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
 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
 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
 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
 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
 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
 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
 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
 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
 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
 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
 PLAY W      G     BG EQUITY VOTES CL DMP GG GS 24/15* + .526, .128, .006   − .474, .121, .004 +.060 RDBC

After

played
24/15
 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
 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
 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
 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