The history of 14.1 shows players making decisions in robotic ways. However the best computer hardware and software has not been professionally applied to the game.

The risk margins per shot make the problem challenging to simplify.

Instead of modeling the entire game, lets focus on the final five with ball in hand. Imagine the opponent missed and its your chance. What program leads to ideal conditions?

If there are five balls on the table with a clear break ball for the top side of the rack. What conditions must exist for the remaining 4 balls and cue ball in hand?

A classic math problem is buffoons needle which suggests all random distributions converge despite the random placement in a finite rectangular plane. The convergence is for distance between needles.

In straight pool all racks can be different but some racks can be lead to a breakshot. Of those breakshots some will lead to a second consecutive runout with a possible breakshot.

Is there a general description of all racks that can lead to a high run?

Top pros can demonstrate its possible, I challenge myself and others to develop a mathematical solution. I am on year 8 of my investigations.