Position 35b, page 61
From Better Backgammon, by Tim Holland

Should White
double to 4?

It is unlikely that I will be able to bear any more men off before I am forced to open my board (except with the roll of double 1s or 2 and 1). Thus, the pendulum has swung to Black so that he is probably favored to win more than 50 percent of the time.

Rollout 
XG logo
Tom Keith 2013 
Money play
White owns 2-cube
White on roll

1296 games with VR
Checker play: 3-ply
Cube play: XG Roller
XGID=aDCBBBB---------------bbb-:1:1:1:00:0:0:0:0

Cube Action Game BG   Equity
No double W
L
.3923
.6077
.0000
.0000
.0000
.0000
−0.0816 x  *
Double Take W
L
.3904
.6096
.0000
.0000
.0000
.0000
−0.7653 −0.7653 (0.6837) 
Drop +1.0000

  White is not good enough to redouble  

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No. 35a, page 60
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No. 35c, page 61

List of Positions from Better Backgammon

Better Backgammon (1974), by Tim Holland

Backgammon Galore : Books