Germans can say "Ich bin gut" and it is grammatically correct, but native speakers almost never use it as an answer to "Wie geht es dir?" which is "How are you?" If you say "Ich bin gut" to that question, it sounds foreign and slightly arrogant to a German ear, because "Ich bin gut" literally means "I am a good person" in a moral sense, or "I am good at something" as in talented. For example, "Ich bin gut in Mathe" means "I am good at math." If you want to say you are doing well, the idiomatic and natural phrases are "Mir geht es gut," "Mir geht's gut," or simply "Gut" or "Ganz gut, danke." Another very common answer is "Es geht mir gut." If you are talking about being good at a sport or a skill, then "Ich bin gut" is perfectly fine, but you need to add the context, like "Ich bin gut im Fußball." So learners should avoid using it as a direct translation of the English "I'm good" when talking about their well-being.
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