The phrase "try one's luck" suggests making an attempt to achieve something through chance or possibility. However, sometimes an individual may want to avoid taking any chances or risks, and instead want to use a more cautious approach. Some antonyms for the phrase "try one's luck" are "abstain," "refrain," "restrain," "hesitate," "shun," "avoid," or "eschew." These words indicate avoiding situations that might require luck or taking chances. Furthermore, if an individual is not interested in using luck as a strategy, they may adopt a more direct approach and use the antonyms for "try one's luck" mentioned above.