Position 85, page 158
From Backgammon, the Cruelest Game, by Barclay Cooke and Jon Bradshaw

White to play 3-1.

Many players would enter black’s board on the 1 point and use the 3 to save the man on their 9 or 7 point by bringing it in to their inner board. But the move accomplishes nothing and still leaves white dangerously exposed.

The correct play is to enter black’s board on the 3 point and to hit the blot on white’s 5 point by moving one man from white’s 6 point to his 5 point, leaving two blots in his board. Once again, there is nothing particularly bold in this play; indeed, not to make it is certain suicide.

When white can reduce his chance of being an almost certain loser to being only a 5 to 4 underdog, he is not being bold. But due to the unnaturalness of this tactic, most players would not consider it. However, the play puts black on the bar, and if he does not throw a 5 or a 6 on his next roll, white will have strong double-game possibilities. If black were not hit, he would have complete freedom of movement to assault white’s numerous blots and would almost certainly win a double game himself.

Not: bar/24, 9/6
bar/22, 6/5*  *
Rollout 
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Tom Keith 2013 
Money play
Centered cube
White rolls 3-1

1296 games with VR
Checker play: 3-ply
Cube play: XG Roller
XGID=-BBBBaBA-A-Abaa-bbAbbb---A:0:0:1:31:0:0:0:0

3-1: Game BG   Equity
1 bar/22, 6/5* W
L
.3989
.6011
.3098
.3185
.0068
.0718
−0.4396 x  *
2 bar/22, 7/6 W
L
.2147
.7853
.0967
.2496
.0039
.0206
−1.0000 (0.5604) 
3 bar/24, 9/6 W
L
.1872
.8128
.0785
.2679
.0017
.0184
−1.0000 (0.5604)  Not
4 bar/22, 11/10 W
L
.1739
.8261
.0697
.3165
.0098
.0327
−1.0000 (0.5604) 

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No. 86, page 160

List of Positions from Backgammon, the Cruelest Game

Backgammon, the Cruelest Game (1974), by Barclay Cooke and Jon Bradshaw

Backgammon Galore : Books