The phrase "run the chance" typically suggests taking a risk, but antonyms of this expression include safer alternatives. One could choose to avoid chance-taking by adopting a conservative approach or method. This cautious style is intended to minimize risks and prevent potential negative consequences. Alternatively, one may opt to seize opportunities through planning and strategizing instead of spontaneously taking chances. This approach could lead to improved outcomes by taking calculated risks instead of blindly jumping in. Therefore, antonyms for "run the chance" include risk-averse, conservative, prudent, proactive, strategic, intentional, and calculated.