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From Backgammon, the Cruelest Game, by Barclay Cooke and Jon Bradshaw
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| White to play 6-1. |
The correct play is to contradict all our principles and to bear one man off the 6 point and another off the 1 point, leaving two blots. It is not played this way because white wants to be hit. It is just that it is very much to white’s advantage to be hit if black rolls a 6 or a 1.
Were the blot on the 6 point not there, and black rolled a 6, the game would be virtually over, since black would be a prohibitive favorite in this position. But if the blot on the 6 point is hit, white has an additional opportunity of coming in and hitting black again as he comes around to his home board. More importantly, if black now rolls a 1 without an accompanying 4 or 5 or 6, he will have to break his position in his inner board with any 1, 2, or 3, thereby giving white the unexpected opportunity of being able to capture all three of black’s men and winning the game easily. Lastly, if black fails to roll either a 6 or a 1, then white is two men nearer victory.
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Rollout
 Tom Keith 2013 |
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Money play White owns 2-cube White rolls 6-1 1296 games with VR Checker play: 3-ply Cube play: XG Roller |
| 6-1: | Game | G | BG | Equity | ||||
| 1 | 6/off, 1/off |
W L |
.2137 .7863 |
.0000 .0000 |
.0000 .0000 | −0.4897 |
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| 2 | 6/off, 3/2 |
W L |
.1728 .8272 |
.0000 .0000 |
.0000 .0000 | −0.5980 | (0.1083) | |
| 3 | 6/5, 6/off |
W L |
.1681 .8319 |
.0000 .0000 |
.0000 .0000 | −0.6087 | (0.1190) | Not |
| 4 | 6/off, 4/3 |
W L |
.1629 .8371 |
.0000 .0000 |
.0000 .0000 | −0.6182 | (0.1285) | |
| 5 | 6/off, 5/4 |
W L |
.1633 .8367 |
.0000 .0000 |
.0000 .0000 | −0.6186 | (0.1289) |
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