No no, seriously...how much help am I getting?
If my 40 footer is going 10 feet by, how often does it go in if it hits dead center? How about if it hits on an angle? On that angle, how for away does it go?
Jim,
You know enough golf to know that there is no way to give one answer to your questions; there are just too many variables. How fast was the ball moving when it hit the stick? What is the slope around the hole? How about grain? What about how fast the greens are? Fiberglass vs. metal flagsitck? Hell, for that matter, the hole could be cut poorly; after all, it may have been done in the dark by somebody half awake, and mistakes are made. No two pitches or chips or putts are necessarily going to react the same way.
But that doesn't change the basic calculus here, which is that every study ever done, from Pelz 20 years ago to the present, indicate that a flagstick slows the ball down and makes it more likely to go in on ANY kind of shot, including a putt. It's pretty simple physics, isn't it?
Does EVERY ball that strikes a flagstick go in? Of course not. Will there be shots that might have gone in that somehow do not because of contact with the flagstick? Of course. But none of that changes overall averages of this decision.