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: 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   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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