Position 38, page 105
From The Backgammon Book, by Oswald Jacoby and John R. Crawford

White to play 6-2.

We recently saw a good player in white’s position play 6-2 badly. He wasn’t very nervous about the game. He used the 6 to take his man off the six point; but he used his 2 to move from the five to the three point, instead of moving his man on the three point down to the one point.

Black rolled 5-1 and made his best play, which was to bear off the man from the five point and move a man from the four to the three point. The wisdom of this play, and the folly of white’s became apparent a moment later. White rolled 6-2 again and of course could get only one man off; black rolled double 3, bore all three of his men off, and won the game.

White was unfortunate enough to lose the game because of the way he played the 6-2, but it was a bad play, properly punished. Leaving himself with two men on his three point meant that he had only seventeen rolls that would get both these men off. Those seventeen rolls were any combination of 3, 4, 5, and 6, plus double 2.

If he had used his 2 to move from the three point to the one, he would have left himself with one man each on the five and one points, and he would then have had twenty-three possible winning rolls. These rolls would have been any roll with a 6 or 5, plus double 4, double 3, and double 2.

6/off, 3/1
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Tom Keith 2013 
Money play
Black owns 2-cube
White rolls 6-2

1296 games with VR
Checker play: 3-ply
Cube play: XG Roller

6-2: Game BG   Equity
1 6/off, 3/1 W
+0.7262 x  *
2 6/off, 5/3 W
+0.6511 (0.0751) 

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List of Positions from The Backgammon Book

The Backgammon Book (1970), by Oswald Jacoby and John R. Crawford

Backgammon Galore : Books