Answer:
Your answer would be B.
Step-by-step explanation:
B is a sentence fragment. Sentence fragments are groups of words that look like sentences, but aren't. In order to be a sentence, groups of words need to have at least one independent clause. An independent clause is any group of words that contain both a subject and a verb and can stand on its own as it represents a complete thought. Sentence fragments never have independent clauses, but instead are dependent clauses or phrases. In this case, B is a sentence fragment. It contains a subject, the NP "Mary" modified by a what-it-appears-to-be an appositive phrase (an excellent basketball player), but it lacks the predicate.