What is another word for have a fighting chance?
Pronunciation: [hav ɐ fˈa͡ɪtɪŋ t͡ʃˈans] (IPA) 
There are many synonyms for the phrase "have a fighting chance" which means to have a chance of success despite the odds being against you. Some of the possible synonyms include "a fair shot," "a decent opportunity," "a slim possibility," "a glimmer of hope," "a fighting possibility," and "a realistic chance." These phrases all convey the sense that there is some chance of success, even if it may be small or difficult to achieve. Whether you are facing a challenging situation or pursuing a difficult goal, having the belief that you have a fighting chance can be a powerful motivator to keep pushing forward.
