Pool

[Thales]

When setting up the balls before a break in a typical game of pool, the 'J' arrangement of the balls is preffered by most players. I use it operating under the assumption that it will give the most even distribution of red/yellow(stripe/dot) balls.

 

Is there anyway to mathematically verify this if so how would one approach such a problem. I assume there will be a fair amount of probablitistic anaylsis but I cannot think for the life of me how such a problem should be undertaken. Is there a more logically sound intial layout that will insure a more even distribution. Any thoughts?