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I think it's important for a poker player to understand the difference between probability and luck. There is a distinction, and it's definitely relevant to poker.
Luck determines the outcome of a single hand, or a small sample of hands. Probability determines the outcome of a large sample of hands.
Poker is not a game of luck. It's a game of skill, and the skill is to estimate as accurately as possible the optimal way to play a hand based on how your opponent tends to play poker, the pot size, and the probability of winning the hand.
Poker is a game of luck if everyone plays equally optimally (or suboptimally). But that isn't what happens.
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