Position 65, page 106
From Backgammon, the Cruelest Game, by Barclay Cooke and Jon Bradshaw

Should White
double to 2?

If white doubles, should black take? In money games, the answer is yes, yet time after time people drop in this position. Sometimes a player will say, “I’d take if I were being doubled from 2 to 4, but not when it’s from 32 to 64.” This kind of specious reasoning is cowardly and exasperating. It is a take from 2 to 4, it is just as much a take from 32 to 64.

How many combinations does white require to bear off both men on this roll? The answer is 26. All 1’s except double 1’s prevent him from coming off — a total of 10 unfavorable combinations. Thus, the odds are 26 to 10, or 13 to 5, in favor of white. The fraction 13 to 5 is less than 3 to 1, and since black is getting 3 to 1 for his additional dollar, he should accept.

This is a basic rule of thumb for accepting doubles. On the other hand, white is perfectly correct in doubling, since he is a 13 to 5 favorite to win.

--
Rollout

Tom Keith 2013
Money play
Centered cube
White on roll

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

 Cube Action Game G BG Equity No double W L .7222 .2778 .0000 .0000 .0000 .0000 +0.4444 (0.4445) Double Take W L .7222 .2778 .0000 .0000 .0000 .0000 +0.8889 +0.8889 Drop +1.0000

White should double and Black should take

 Previous Position No. 64, page 104
 Next Position No. 66a, page 110

List of Positions from Backgammon, the Cruelest Game

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