  White is Player 1
score: 0 pip: 63  Money session Jacoby Beaver  pip: 128 score: 0
Blue is Player 2  
XGID=aCBBBBAAcBdcd:0:0:1:00:0:0:3:0:10 
Blue on roll, cube action? 
Analyzed in XG Roller+ 
Player Winning Chances:  74.53% (G: 9.51% B: 0.27%) 
Opponent Winning Chances:  25.47% (G: 7.80% B: 0.07%) 

Cubeless Equities 
No Double:  +0.491 
Double:  +0.990 

Cubeful Equities 
No Double:  +0.738 (0.107) 
Double/Take:  +0.846 
Double/Drop:  +1.000 (+0.154) 

Best Cube action: Double / Take 

eXtreme Gammon Version: 1.21
By the way, if this position were to arise in a consulting chouette, and I were trying to convince the captain to play 6/1*, I would probably say, "Attack a single checker." Though this statement does not quite reflect my own thought process, it's not a lie either, and I think for many players it's more convincing to cite a maxim than to point out how well White's rolls play if we don't fight for a tempo.
  White is Player 2
score: 0 pip: 134  Money session Jacoby Beaver  pip: 141 score: 0
Blue is Player 1  
XGID=aBBCBbEacceA:0:0:1:41:0:0:3:0:10 
Blue to play 41 
1.  XG Roller+  6/1*  eq: +0.197 
 Player: Opponent:  55.00% (G:16.49% B:0.47%) 45.00% (G:11.24% B:0.46%)  

2.  XG Roller+  24/23 13/9  eq: +0.126 (0.071) 
 Player: Opponent:  53.61% (G:13.77% B:0.47%) 46.39% (G:10.93% B:0.34%)  

3.  XG Roller+  13/8  eq: +0.119 (0.078) 
 Player: Opponent:  53.26% (G:13.36% B:0.43%) 46.74% (G:10.28% B:0.32%)  

4.  XG Roller+  13/9 6/5  eq: +0.110 (0.087) 
 Player: Opponent:  52.98% (G:13.60% B:0.47%) 47.02% (G:10.79% B:0.35%)  

5.  XG Roller+  24/20 6/5  eq: +0.072 (0.125) 
 Player: Opponent:  52.70% (G:10.52% B:0.36%) 47.30% (G:11.31% B:0.32%)  

eXtreme Gammon Version: 1.21
I'm surprised at the size of the equity difference between 24/15 and 24/20 21/16. It's about twice as big as I would have predicted.
  White is Player 1
score: 0 pip: 124  Money session Jacoby Beaver  pip: 159 score: 0
Blue is Player 2  
XGID=aBDBBbBcbeAbB:0:0:1:45:0:0:3:0:10 
Blue to play 45 
1.  XG Roller+  24/15  eq: 0.162 
 Player: Opponent:  49.23% (G:11.15% B:0.51%) 50.77% (G:23.21% B:1.12%)  

2.  XG Roller+  21/16 13/9  eq: 0.260 (0.098) 
 Player: Opponent:  47.45% (G:10.01% B:0.41%) 52.55% (G:21.84% B:2.35%)  

3.  XG Roller+  24/20 21/16  eq: 0.306 (0.144) 
 Player: Opponent:  45.66% (G:10.73% B:0.53%) 54.34% (G:24.60% B:1.24%)  

4.  XG Roller+  13/9 13/8  eq: 0.333 (0.171) 
 Player: Opponent:  44.16% (G:9.59% B:0.44%) 55.84% (G:19.77% B:1.69%)  

5.  XG Roller+  24/20 6/1*  eq: 0.342 (0.180) 
 Player: Opponent:  42.82% (G:10.47% B:0.36%) 57.18% (G:19.74% B:1.12%)  

6.  XG Roller+  21/16 6/2  eq: 0.351 (0.189) 
 Player: Opponent:  44.41% (G:9.77% B:0.41%) 55.59% (G:21.55% B:2.32%)  

7.  XG Roller+  24/20 13/8  eq: 0.360 (0.198) 
 Player: Opponent:  43.14% (G:10.03% B:0.47%) 56.86% (G:24.12% B:1.88%)  

8.  XG Roller+  13/4  eq: 0.416 (0.254) 
 Player: Opponent:  43.55% (G:9.30% B:0.42%) 56.45% (G:24.79% B:2.93%)  

eXtreme Gammon Version: 1.21