Opening Reply 1-1

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: 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   24/22, 6/5(2)   + .544, .147, .006   − .456, .123, .004 +.114   RBC   24/23, 6/5(3)   + .539, .151, .006   − .461, .125, .005 +.106   (.007) (.009) (.001) (.014)   24/23(2), 6/5(2)   + .530, .150, .006   − .470, .124, .005 +.087   (.026) (.027) (.022) (.030)   8/5, 6/5   + .522, .156, .006   − .478, .134, .006 +.067   (.046) (.043) (.025) (.065)
After played 13/11, 6/5		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/20*   + .525, .154, .010   − .475, .119, .005 +.091   (.012) (.016)   8/7(2), 6/5(2)   + .531, .156, .008   − .469, .139, .007 +.082   RDB (.009) (.027)   24/22, 6/5(2)   + .526, .142, .007   − .474, .134, .005 +.062   (.029) (.011) (.039) (.029)
After played 8/5, 6/5		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/22, 6/5(2)   + .502, .134, .005   − .498, .138, .005 +.001   (.021)   8/7(2), 6/5(2)   + .502, .145, .006   − .498, .153, .008 −.005   RDBC (.006) (.001) (.030)   24/23, 6/5(3)   + .488, .135, .005   − .512, .154, .007 −.044   (.045) (.028) (.048) (.061)
After played 24/21, 13/11		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   6/4*(2)   + .549, .165, .008   − .451, .117, .005 +.150   RBC   6/4*, 6/5(2)   + .543, .162, .007   − .457, .132, .007 +.117   (.033) (.013) (.019) (.043)
After played 13/11, 13/10		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   8/7(2), 6/5(2)   + .562, .172, .009   − .438, .137, .007 +.163   RDB   24/22, 6/5(2)   + .551, .157, .008   − .449, .135, .005 +.127   (.036) (.023) (.053) (.021)
After played 24/23, 13/9		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/22, 6/5(2)   + .537, .144, .006   − .463, .128, .005 +.091   RBC   24/23, 6/5(3)   + .530, .148, .006   − .470, .137, .005 +.072   (.019) (.015) (.006) (.032)   24/23(2), 6/5(2)   + .522, .147, .006   − .478, .129, .006 +.062   (.028) (.030) (.024) (.031)
After played 24/20, 6/5		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/22, 6/5*(2)   + .588, .188, .010   − .412, .097, .003 +.274   R   24/23, 6/5*(3)   + .580, .189, .010   − .420, .103, .004 +.252   (.022) (.016) (.014) (.029)   24/23, 8/7, 6/5*(2)   + .573, .188, .010   − .427, .108, .005 +.230   (.044) (.030) (.031) (.054)
After played 13/9, 6/5		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/20*   + .535, .171, .012   − .465, .121, .004 +.128     8/7(2), 6/5(2)   + .533, .162, .009   − .467, .146, .007 +.082   RDB (.046) (.005) (.023) (.056)
After played 8/4, 6/4		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   8/7(2), 6/5(2)   + .518, .154, .007   − .482, .151, .008 +.039   RDBC (.013)   24/22, 6/5(2)   + .516, .143, .006   − .484, .143, .005 +.033   (.006) (.004) (.027)   24/23, 6/5(3)   + .509, .144, .006   − .491, .153, .006 +.010   (.029) (.018) (.038) (.035)   24/23(2), 6/5(2)   + .499, .146, .006   − .501, .138, .006 +.005   (.034) (.038) (.056) (.026)
After played 24/21, 24/20		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   6/5*/4*(2)   + .593, .194, .008   − .407, .099, .004 +.285   R   6/5*(2), 6/4*   + .587, .189, .007   − .413, .107, .005 +.258   (.027) (.013) (.024) (.028)
After played 24/21, 13/9		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   6/4*(2)   + .549, .162, .007   − .451, .121, .005 +.142   RBC   6/4*, 6/5(2)   + .544, .162, .007   − .456, .136, .007 +.115   (.027) (.010) (.011) (.039)
After played 24/20, 13/10		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/22, 6/5*(2)   + .597, .173, .008   − .403, .097, .004 +.274   B   24/23, 6/5*(3)   + .587, .173, .008   − .413, .104, .004 +.248   (.026) (.020) (.019) (.033)   8/7(2), 6/5*(2)   + .581, .179, .009   − .419, .111, .005 +.233   R (.041) (.032) (.021) (.059)
After played 13/10, 13/9		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   8/7(2), 6/5(2)   + .557, .170, .009   − .443, .143, .007 +.143   RDB
After played 24/23, 13/8		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/22, 6/5(2)   + .542, .147, .005   − .458, .121, .004 +.110   RBC   24/23(2), 6/5(2)   + .531, .153, .005   − .469, .122, .005 +.093   (.017) (.022) (.009) (.023)   24/23, 6/5(3)   + .532, .149, .005   − .468, .129, .005 +.085   (.025) (.019) (.015) (.034)   8/5, 6/5   + .527, .159, .006   − .473, .132, .006 +.080   (.030) (.030) (.006) (.052)
After played 24/18		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   8/7*(2), 6/5(2)   + .586, .182, .007   − .414, .102, .004 +.255   R   8/7*/5, 6/5   + .576, .181, .007   − .424, .105, .004 +.230   (.026) (.020) (.023) (.028)   24/23, 8/7*, 6/5(2)   + .573, .177, .007   − .427, .108, .005 +.217   (.038) (.026) (.036) (.039)
After played 13/8, 6/5		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   8/7(2), 6/5(2)   + .553, .169, .009   − .447, .133, .006 +.144   RDB (.004)   24/20*   + .535, .149, .008   − .465, .113, .004 +.110   (.034) (.035) (.074)
After played 24/22, 13/8		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/22, 6/5(2)   + .535, .139, .005   − .465, .120, .004 +.088   RB   24/23, 6/5(3)   + .525, .144, .005   − .475, .127, .005 +.066   (.022) (.020) (.010) (.033)   24/23(2), 6/5(2)   + .521, .142, .005   − .479, .123, .005 +.062   (.026) (.026) (.019) (.031)   8/5, 6/5   + .518, .147, .005   − .482, .131, .006 +.052   (.036) (.033) (.016) (.054)
After played 13/8, 6/4		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   8/7(2), 6/5(2)   + .565, .174, .008   − .435, .131, .006 +.176   R
After played 13/11, 13/8		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   8/7(2), 6/5(2)   + .569, .173, .008   − .431, .127, .006 +.184   RDBC
After played 8/3, 6/3		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   8/7(2), 6/5(2)   + .546, .167, .007   − .454, .141, .008 +.118   RBC
After played 13/10, 13/8		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   8/7(2), 6/5(2)   + .570, .173, .008   − .430, .133, .007 +.183   RD
After played 24/20, 13/8		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/22, 6/5*(2)   + .582, .169, .007   − .418, .100, .004 +.235   (.010)   8/7(2), 6/5*(2)   + .577, .179, .007   − .423, .111, .005 +.224   RBC (.011) (.009) (.031)   24/23, 6/5*(3)   + .572, .169, .006   − .428, .108, .004 +.207   (.028) (.019) (.030) (.034)   24/23(2), 6/5*(2)   + .566, .169, .006   − .434, .109, .005 +.193   (.041) (.031) (.042) (.049)   8/5*, 6/5   + .563, .178, .007   − .437, .114, .005 +.193   (.042) (.036) (.028) (.064)   24/23, 8/7, 6/5*(2)   + .565, .173, .007   − .435, .117, .005 +.186   (.049) (.034) (.037) (.067)
After played 13/9, 13/8		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   8/7(2), 6/5(2)   + .566, .172, .008   − .434, .133, .007 +.172   RDB
After played 13/7, 8/7		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   8/7(2), 6/5(2)   + .528, .155, .006   − .472, .137, .007 +.073   RDBC (.001) (.011)   24/22, 6/5(2)   + .528, .143, .005   − .472, .132, .005 +.068   (.006) (.023)   24/23(2), 6/5(2)   + .510, .145, .005   − .490, .128, .005 +.037   (.036) (.037) (.055) (.029)   24/23, 6/5(3)   + .513, .142, .005   − .487, .137, .005 +.030   (.043) (.031) (.056) (.042)
After played 24/18, 13/11		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   8/7*(2), 6/5(2)   + .577, .177, .008   − .423, .110, .005 +.224   RDBC   8/7*/5, 6/5   + .565, .179, .008   − .435, .113, .005 +.199   (.025) (.025) (.019) (.031)   24/23, 8/7*, 6/5(2)   + .566, .177, .008   − .434, .116, .005 +.196   (.029) (.022) (.022) (.034)
After played 24/16		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/22, 6/5(2)   + .518, .140, .005   − .482, .107, .004 +.070   B (.009)   8/7(2), 6/5(2)   + .515, .147, .005   − .485, .118, .006 +.059   R (.011) (.006) (.028)   24/23, 6/5(3)   + .511, .141, .005   − .489, .113, .005 +.050   (.020) (.016) (.022) (.026)   24/23, 8/7, 6/5(2)   + .504, .148, .005   − .496, .125, .006 +.032   (.039) (.028) (.020) (.063)   24/23(2), 6/5(2)   + .502, .134, .004   − .498, .109, .005 +.028   (.042) (.034) (.053) (.038)   8/5, 6/5   + .498, .146, .005   − .502, .119, .005 +.023   (.047) (.041) (.036) (.064)
After played 13/5		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   8/7(2), 6/5(2)   + .560, .171, .009   − .440, .136, .006 +.157   R   24/20*   + .539, .146, .007   − .461, .116, .004 +.113   (.044) (.040) (.089) (.000)
After played 24/18, 13/10		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   8/7*(2), 6/5(2)   + .581, .179, .009   − .419, .111, .005 +.233   RDBC   8/7*/5, 6/5   + .570, .180, .009   − .430, .114, .005 +.210   (.024) (.022) (.020) (.027)   24/23, 8/7*, 6/5(2)   + .569, .175, .008   − .431, .116, .005 +.199   (.034) (.024) (.032) (.035)
After played 24/15		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   24/22, 6/5(2)   + .517, .142, .005   − .483, .110, .004 +.066   (.009)   8/7(2), 6/5(2)   + .514, .149, .005   − .486, .120, .006 +.056   RB (.010) (.005) (.026)   24/23, 6/5(3)   + .505, .139, .004   − .495, .112, .005 +.037   (.029) (.023) (.037) (.028)   24/23, 8/7, 6/5(2)   + .502, .147, .005   − .498, .127, .006 +.024   (.042) (.029) (.027) (.062)   24/23(2), 6/5(2)   + .500, .134, .004   − .500, .110, .005 +.023   (.042) (.034) (.059) (.033)
After played 8/2, 6/2		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   8/7(2), 6/5(2)   + .567, .177, .008   − .433, .137, .008 +.174   RB
After played 24/18, 13/9		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   8/7*(2), 6/5(2)   + .578, .178, .008   − .422, .114, .005 +.222   RDB   24/23, 8/7*, 6/5(2)   + .570, .176, .009   − .430, .119, .005 +.201   (.022) (.015) (.019) (.024)   8/7*/5, 6/5   + .564, .179, .008   − .436, .119, .005 +.191   (.031) (.027) (.026) (.037)
After played 24/14		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   8/7(2), 6/5(2)   + .515, .152, .005   − .485, .123, .006 +.057   RBC   24/22, 6/5(2)   + .505, .138, .004   − .495, .115, .004 +.033   (.025) (.020) (.048) (.004)   24/23, 6/5(3)   + .498, .137, .004   − .502, .115, .005 +.017   (.040) (.034) (.063) (.019)
After played 24/13		Reply    PLAY W      G     BG     EQUITY VOTES CL DMP GG GS   8/7(2), 6/5(2)   + .503, .143, .004   − .497, .118, .005 +.029   RDBC (.009)   24/22, 6/5(2)   + .499, .134, .004   − .501, .110, .004 +.022   (.008) (.007) (.025)   24/23, 6/5(3)   + .492, .136, .004   − .508, .115, .005 +.005   (.024) (.020) (.033) (.025)   24/23, 8/7, 6/5(2)   + .492, .141, .004   − .508, .128, .006 −.004   (.033) (.021) (.025) (.049)   24/23(2), 6/5(2)   + .484, .128, .004   − .516, .107, .005 −.012   (.041) (.038) (.067) (.025)   8/5, 6/5   + .482, .140, .004   − .518, .120, .006 −.018   (.047) (.041) (.047) (.055)

Summary

Opening Play   Reply 8/7(2), 6/5(2) 24/22, 6/5(2) 6/4(2) 24/20 6/5/4(2)   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   *5         13/9, 6/5       *20     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           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           8/2, 6/2           24/18, 13/9 *7           24/14           24/13           8/7(2), 6/5(2) 24/22, 6/5(2) 6/4(2) 24/20 6/5/4(2)

 

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