This problem is interesting because the best play is completely counter-intuitive. This position occurred 25 years ago during a chouette. I was in the box, holding a 2 cube, vs 4 opponents. Things didn't look very promising at all.
In money play you always want to be alert to opportunities to gammon your opponent and double your winnings. The best gammon opportunity here is hitting the blot on the 1 point, getting hit, then picking up another blot. The question is what's the best way to extract maximum juice from the position.
In this case the best play is breaking the inner board, hitting loose on the 1 point, leaving 2 blots.
This is completely counter-intuitive, but think about it. If you WANT TO GET HIT, arent your chances better if you leave 2 blots vs 1 ?
Another nasty aspect to this play that hasn't been discussed is what happens when opponent rolls 1-3 or 2-3 from the bar. Now you have 3 blots to fire at instead of 2.
In the actual game the team captain played 7-1, hitting. I responded with 1-6, entering, exiting and hitting 2 of their blots. They fanned with 4-4. I rolled 2-2, cleaning up. They fanned with 2-2. I redoubled, they took. I rolled 5-5 hitting their other blot, they fanned with 2-2 and went on to get gammoned...........a dice sequence worthy of FIBS.
If they'd made the other play, there was no roll that allowed me to enter and exit while hitting 2 blots. What's the best roll is after the loose hit, 1-1, 2-2 or 2-6 ?
How would you play the position in a match; at DMP ? At gammon-save ? at gammon-go ?
The important lesson is to discipline yourself to see an opportunity when it presents itself. Sometimes the uglier play is the best.