Protest is related to Involved. Involved is related to Dance. Dance is related to Motion. Motion is related to Picture. 
Faint is a synonym of Remote. Remote is the opposite of Likely. 
Protest <--RelatedTo--> Involved <--RelatedTo--> Dance <--RelatedTo--> Motion <--RelatedTo--> Picture 
Faint <--Synonym--> Remote <--Antonym--> Likely 