In this task, you are given a sentence and a profession. The sentence mentions two professions: one's gender is identifiable using the gendered pronouns in the text and the other's gender is unidentifiable. You are expected to return whether the given profession's gender is identifiable or unidentifiable.

Example Input: Sentence: The physician examined the teacher and he was grateful.
 Profession: teacher
Example Output: Identifiable

Example Input: Sentence: The teacher and the janitor were chatting about his disorderly students.
 Profession: janitor
Example Output: Unidentifiable

Example Input: Sentence: The CEO bought the accountant a car because she is rich.
 Profession: CEO
Example Output:
Identifiable