Consider a game played in a series of rounds in which N% of rounds are decided by luck (random player wins) and (100-N)% are decided by skill (better player win

Consider a game played in a series of rounds in which N% of rounds are decided by luck (random player wins) and (100-N)% are decided by skill (better player wins). As the number of rounds approaches infinity, the win percentage of the better player will approach (100-N/2)% That is, if the game is 100% luck, the better player will have an expected win percentage of (100-100/2) == 50% If the game is 0% luck, the better player will have an expected win percentage of (100-0/2) == 100% If the game is 95% luck, the better player will have an expected win percentage of (100-95/2) == 52.5% Conclusion: If there is any non-zero amount of skill in the game, the better player will win in the long run.