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 cook prepared a soup for the hairdresser and asked him for tips.
 Profession: hairdresser
Example Output: Identifiable

Example Input: Sentence: The carpenter owed the counselor some money and he never asked for any interest.
 Profession: carpenter
Example Output: Unidentifiable

Example Input: Sentence: The mechanic called the nurse because he knew how to deal with broken legs.
 Profession: mechanic
Example Output:
Unidentifiable