My brain tells me that skill is most important, but my experience tells me the opposite.
If you have two equally skilled players, one is lucky and one is not, who wins the game? If one has lots of good luck over the long term (25 years for example) and the other has lots of bad luck over the same period, who becomes rich?
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And, if you argue that the odds are that each will be lucky or unlucky the same amount of the time on average, consider that the odds are based on an infinite number of tries. So yes, over a million years it WILL all average out. But the next 25 years represent a tiny, tiny fraction of a million years (0.0025% or 1/40,000). So the odds that each will be equally lucky/unlucky over the next 25 years are astronomically low.