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.

Sentence: The physician examined the teacher and he was grateful.
 Profession: physician
Unidentifiable

Sentence: The mover said thank you to the housekeeper and give him a hug.
 Profession: housekeeper
Identifiable

Sentence: The hairdresser called the carpenter and then asked her for help.
 Profession: hairdresser

Unidentifiable