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When I heard this question the answer was actually a "crow shade" cow, meaning a black cow.
No, never.
A Holstein cow is a dairy cow with a large udder and has a thin hair coat that is black and white.
yes. The color of the cow has nothing to do with the milk it produces.
Think of cow color as a "commutative" property. 1 + 2 is the same as 2 + 1.