有/没有 + 可能性 / Adjective + 的 + 可能性
The noun 可能性 (kěnéngxìng) means 'possibility' or 'likelihood.' It is formed by adding the suffix 性 (nature/quality) to 可能 (possible), turning the adjective into an abstract noun. For example, 无限的可能性 means 'unlimited possibilities.'
这次考试通过的可能性有多大?
zhè cì kǎoshì tōngguò de kěnéngxìng yǒu duō dà?
How likely is it to pass this exam?
我们不能排除下雨的可能性。
wǒmen bù néng páichú xià yǔ de kěnéngxìng.
We cannot rule out the possibility of rain.
成功的可能性取决于你的努力程度。
chénggōng de kěnéngxìng qǔjué yú nǐ de nǔlì chéngdù.
The possibility of success depends on the degree of your effort.