Randomness Does Not Imply Luck In Board Games

I often hear that randomness brings luck (therefore, unfair advantage for a weaker player) in a game. This idea is so strong and deep rooted in a general public that the words «luck», «randomness», «uncertainty» are often treated like interchangeable synonyms in discussions of game properties. Many people consider a game with a randomizer to be a low-grade push-your-luck childish trifle. I want to show you how wrong this judgment is.
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