1.  Rollout^{1}  8/3 6/5  eq: 0.223 
 Player: Opponent:  38.86% (G:4.38% B:0.36%) 61.14% (G:40.13% B:15.55%)  Conf.: กำ 0.004 (0.227...0.218)  [100.0%] Duration: 2 hours 14 minutes 

2.  Rollout^{1}  8/3 4/3  eq: 0.233 (0.010) 
 Player: Opponent:  38.36% (G:5.84% B:0.60%) 61.64% (G:34.88% B:9.52%)  Conf.: กำ 0.003 (0.236...0.229)  [0.0%] Duration: 1 hour 52 minutes 

3.  Rollout^{2}  13/8 6/5  eq: 0.246 (0.023) 
 Player: Opponent:  37.71% (G:3.72% B:0.42%) 62.29% (G:41.24% B:15.76%)  Conf.: กำ 0.006 (0.251...0.240)  [0.0%] Duration: 1 hour 07 minutes 

4.  Rollout^{3}  24/18  eq: 0.260 (0.037) 
 Player: Opponent:  37.01% (G:4.78% B:0.47%) 62.99% (G:37.60% B:9.08%)  Conf.: กำ 0.007 (0.267...0.253)  [0.0%] Duration: 33 minutes 59 seconds 

5.  Rollout^{3}  13/7  eq: 0.261 (0.038) 
 Player: Opponent:  36.95% (G:3.29% B:0.33%) 63.05% (G:42.14% B:15.72%)  Conf.: กำ 0.008 (0.269...0.253)  [0.0%] Duration: 32 minutes 56 seconds 

6.  Rollout^{3}  18/13 6/5  eq: 0.272 (0.049) 
 Player: Opponent:  36.41% (G:4.16% B:0.27%) 63.59% (G:43.87% B:15.75%)  Conf.: กำ 0.008 (0.280...0.264)  [0.0%] Duration: 34 minutes 06 seconds 


^{1} 5184 Games rolled with Variance Reduction. Moves: 3ply, cube decisions: XG Roller
^{2} 2592 Games rolled with Variance Reduction. Moves: 3ply, cube decisions: XG Roller
^{3} 1296 Games rolled with Variance Reduction. Moves: 3ply, cube decisions: XG Roller

Raise your hand if you would left blots on your 3pt, 4pt and 5pt with 8/3 6/1, the play that the rollout indicates is clearly best.
I also rolled out a similar position, with a Blue spare moved from his 6pt to his 8pt:
1.  Rollout^{1}  8/3 6/5  eq: 0.219 
 Player: Opponent:  39.04% (G:4.26% B:0.37%) 60.96% (G:40.92% B:15.06%)  Conf.: กำ 0.004 (0.223...0.216)  [52.1%] Duration: 3 hours 35 minutes 

2.  Rollout^{1}  8/3 4/3  eq: 0.219 (0.000) 
 Player: Opponent:  39.04% (G:5.95% B:0.59%) 60.96% (G:35.12% B:9.00%)  Conf.: กำ 0.003 (0.222...0.216)  [47.5%] Duration: 3 hours 01 minute 

3.  Rollout^{1}  8/7 8/3  eq: 0.224 (0.005) 
 Player: Opponent:  38.79% (G:3.95% B:0.36%) 61.21% (G:42.01% B:15.47%)  Conf.: กำ 0.004 (0.228...0.221)  [0.4%] Duration: 3 hours 38 minutes 


^{1} 7776 Games rolled with Variance Reduction. Moves: 3ply, cube decisions: XG Roller

Pop Puzzle: From this rollout (just above), below is the position after Blue's best/tied 51 play is put on the board.
By a remarkable coincidence, from here, it is possible to reach the identical Blotprime versus Sevenprime position achieved in the solution to Problem 1 here, using the same conditions as in the original puzzle (Blue rolls first)  except that White needs only three moves. In other words, from here: BlueWhiteBlueWhiteBlueWhiteBlue.
Here is the solution:
In the position above, Blue rolls 55, playing it 23/18(2) 8/3 6/1, as shown below.
Now White rolls her own 55, playing it 23/8 16/11, as shown below.
Now Blue rolls 33, playing it 18/15(3) 13/10, as shown below.
Now White rolls her own 33, playing it 11/5 8/5(2), as shown below.
Now Blue rolls 66, playing it 24/12 18/12 15/9.
Now White rolls 22, playing it 9/7(2) 5/1, as shown below.
Finally, Blue rolls 11, playing it 15/14 13/12 8/7 3/2, as shown below.
[One may transpose Blue's rolls of 33 and 66.]
It is also possible to reach this position if Blue's original 51 had been played 8/7 8/3 (instead of 8/3 6/5) to set up a slightly different puzzle position. In that case, the unique solution sequence is 55: 23/18(2) 8/3 3/1. 33: 23/20 16/10 8/5. 66: 24/12 18/12(2). 55: 20/5 10/5. 33: 18/15(2) 13/10 12/9. 22: 9/7(2) 5/1. 11: 15/14 12/11 6/5 3/2.
Nack