You are hedging your errors so that you don't miss to one side... So you have Target +1/3 +1/3.... IF you aim center and don't hedge you can miss either way and you get 1/3 +Target +1/3 which mathematically is the same equation but effectively it's not even close... Since you can miss by 2/3rds in a single direction and have removed misses in the other direction using CJ's technique your effective pocket is enlarged by 1/3 over the aiming center pocket idea.... You cannot miss more than by 1/3rd in either direction center pocket... you can miss by 2/3rds with CJ's method.....
Maybe a better way to look at it would be using the a single axis where the integers are the scale of the miss....
-1,0,1 would be the integers for center pocket you may miss the center by a factor of 1 either positive or negative and you are successful
0,1,2 would be the integers for the method CJ has been discussing... SO you can miss by a factor of 2 and still make the ball...
So mathematically CJ's method makes the target pocket twice as large as center pocket.......
I'm really surprised people don't understand this.