Depends on what you are talking about. A player can have a statistically better win percentage and when it comes down to it winning is what matters. When I'm talking about correlating I'm talking about correlating with respect to win percentage. Looking at variables related to table layout that significantly correlate with winning.there may be in fact no such thing as a statistically better player. 2 players of near equal skill (knowledge, experience, ability to execute) will be effected but "human" elements that cant be taken into statisical consideration- one player just had a huge fight with SO, is having back spasms, was up all night with the baby ect... all of which have a determental effect on play on a given day.
I agree to a certain extent. If what you are stating were 100% true then no match would need to be more than a single game. In reality we run into the limits of the game; a player can run without their opponent even reaching the table. Randomness is a significant part of the game. If breaks were predictable a good player could always break and run. Reality is that problem clusters can and do pop up to complicate things so a reliable run out isn't always an option.also randomness is really irrelevant. good or bad layout after a break, poor playing circumstances it doesnt matter. in pool as in life there are very few ideal circumstances. it is up the player to utilize his skill to make the best of the situation in front of him.
brian
The cue can be controlled to a limited extent on the break but once contact with the rack is made the dice are thrown. A break that wouldn't have scratched without interference from object balls can end up in the pocket. Just this can throw the odds in favor of the opponent even when the skill of the (non-opponent) player in question is higher.
Both these scenarios outline situations where the skills of the players, relative to each other, doesn't matter. It's based on probability and the limitations of the game in question.
I wouldn't rate myself much higher than a low C but give me ball in hand and I can beat a pro with favorable table position.
Longer sets are played to eliminate the effects of random probability.