well, brian, what you wrote is not exactly what I was saying

the problem with your statement Most people would say that the difference between a game of luck and a game of skill is the degree to which luck and skill contribute to the outcome: is that I am not aware of any definite way to quantify the degree to which luck and skill contribute to the outcomes

People often assume that the most skillful the player need to be the higher the contribution of skill to the outcome is but this does not seem to be true