Only if it's intentional. The randomness is the unintentional collisions of the balls and rails.
... but the player had infinite options, most without the unintended collisions. We don't plan most car wrecks never-the-less we are responsible for them because they are the result of our actions.
When we look at most activities, we blame bad luck when we fail but give little credit to luck when we succeed.
Gonna do some rambling about luck and glass ceilings from here. Those not interested are forewarned.
Let's take three people. One, player A, thinks there is a touch of luck in pool, maybe two percent. Not enough to worry about good or bad.
Player B thinks pool is twenty percent luck, and player C thinks that pool is a full thirty percent luck.
Player A is basing his play on 100% skill, no glass ceiling. Player B will practice and play very hard to try to reach 80% skilled shots. No sense trying to get better than that when the game is, his opinion, twenty percent luck. Player C may work diligently to get to seventy percent skilled shots, no sense beating his head against a brick wall up there in the luck zone. He has built his glass ceiling at seventy percent. Never a threat to win, he isn't even a likely threat to beat player B. Player B has built his glass ceiling at eighty percent. He will work hard until he gets to what he thinks is the luck zone. No need to work on those shots too hard.
We can create glass ceilings for ourselves for a lot of reasons and they can do more harm than we realize. "Nobody can beat Buddy, or Johnny, or whoever won the last big event. Once again somebody has built themselves a glass ceiling. They are hoping for a top finish around fourth, the catch being that these people with glass ceilings that can't beat the top competitors in their minds rarely beat the others that are sincerely trying for first place either and at a big event they fade to fourteenth or fortieth, the dreaded "Did Not Cash".
Hu
What randomizes the outcome is where in their range of misses they actually end up. If a moderately skilled player takes on a shot, they will have a certain dispersion to their cueball paths/spins/speeds. So while the balls will always behave in accordance with how the ball was actually hit, there is randomness in terms of where that hit occurred relative to what was intended. The results can be favorable or not and that comes down to luck. Sure a player can choose to shoot shots in ways that give them more favorable results and let them get 'lucky' more often, but whenever we are dealing with shots where the player didn't execute what he intended, we are dealing with luck, whether it be positive or negative.
As a big fish in a little pond I often heard I was the best or the luckiest somebody had ever seen in the last few years I played daily. I had put in thousands of hours trying to master spot shape and generally played spot shape within an inch. Made me the luckiest guy for a hundred miles around!
One sneaky old road player scouted me for three days. He decided he didn't like the risks and talked instead. When he commented on my skills I naturally tried to pass it off as getting the rolls. I never forgot what he said because he was one of the few that busted me. "The first night I thought it was luck. The second night I thought it might be luck. Nobody in the world gets as lucky as you three nights in a row!" Crap! Got me. Not that I admitted it of course.
A young Danny Medina was another that busted me. With him I think it was almost intuitive. Kindred spirits and we were so evenly matched we could have probably played to a thousand and the loser had over 975. Playing him remains the most fun I ever had on a pool table.
Anyway, decades later I will admit my luck wasn't luck at all. Makes me very suspicious about luck in pool.
Hu