Left-handed pool shots
Paul Newman was left-handed, a la "The Left-Handed Gun", "Hombre", etc. But in this movie he appeared to take all of a hundred shots right-handed, which would be the weaker of his hands and arms. He made power shots accurate enough to sink the balls, well enough for the filming although set up by pro Willie Mosconi. Shooting pool is as difficult to do with your off-hand as it is for an amateur to bat a baseball off-handed.
I wonder if the director used a reverse camera-angle for those scenes so it would appear Newman was right-handed? They did so for Gary Cooper when he swung the bat in the Lou Gehrig Story to make him appear to be taking left-handed swings.