"A fair shake" means treating someone justly and giving them a chance to succeed. There are a number of synonyms for this phrase, each reflecting different nuances of meaning. Some possibilities include "equal opportunity," "a level playing field," "a square deal," "just deserts," and "a fair chance." These terms emphasize the notion of impartiality and fairness, suggesting that everyone deserves the same treatment and opportunity to succeed. Other synonyms might include "a sporting chance," "a fair shot," or "a fair go." Regardless of the specific term used, the concept of treating others fairly and giving them a fair shake is central to building a just and equitable society.