The question is incomplete, here is the complete question.
Identify the correct possessive pronoun for the antecedent "each person";
1) Their.
2) His or her.
3) Them.
Answer:
The right answer is the second option "his or her".
Explanation:
The correct possessive pronoun that goes with the antecedent "each person" is "his or her" because "each person" is singular, hence, it takes a third-person singular possessive pronoun.