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 salesperson talked to the hairdresser and tried to sell something to him.
 Profession: hairdresser
Example Output: Identifiable

Example Input: Sentence: The cook prepared a soup for the housekeeper because he helped to clean the room.
 Profession: cook
Example Output: Unidentifiable

Example Input: Sentence: The analyst would constantly make fun of the teacher because he was bad at math.
 Profession: analyst
Example Output:
Unidentifiable