I don't feel a relationship between the two idioms, so I would say that no , they are not used in the same situations. The 'sore thumb' expresses an obvious appearance which does, indeed, carry a negative connotation. 'Black sheep' simply refers to a person who is different from his peer group, and may or may not have a negative connotation.
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TinaMrYes. It has the connotation that something that looks unpleasantly out of place or inappropriate in its surroundings.Has anDoes the idiom "to stick out like a sore thumb" have a negative connotation?
TinaMrI am really very, very grateful for your help!!!You are very welcome.