Position 77a, page 146
From Backgammon for Blood, by Bruce Becker

Should Black
double to 2?

If my opponent has a 2 and 5 position and throws the cube at me, do I take? Well, I do if it is exactly a 2 and 5 position that he has, and also if my position is at least 2 and 5 as well. The reason is this: although he has better than a 5-– chance of winning, there is still the factor of 3 to 1 odds working for me. So, although there are nineteen ways out of thirty-six for me to lose one dollar, there are seventeen ways out of thirty-six for me to stay alive and then have at least a 50–50 chance to win three. Therefore, the odds paradoxically are with me to accept.

--
Rollout

Tom Keith 2013
Money play
Centered cube
Black on roll

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

 Cube Action Game G BG Equity No double W L .7493 .2507 .0000 .0000 .0000 .0000 +0.4753 (0.4753) Double Take W L .7493 .2507 .0000 .0000 .0000 .0000 +0.9506 +0.9506 Drop +1.0000

Black should double and White should take

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List of Positions from Backgammon for Blood

Backgammon for Blood (1974), by Bruce Becker