What will be the right word for teachers belonging to the tradition of the Ajivikas, who believe that everything is predetermined?

Fatalists

The correct answer is Option 3 - Fatalists

Makkhali Gosala belonged to the Ajivika tradition, characterized by their belief in fatalism, the notion that everything in life is predetermined. King Ajatasattu met him and described the conversation he had with Gosala to Buddha.