本文利用概率方法的简单性质证明某些不等式,旨在把概率知识与其他数学分支联系起来,从而拓宽解题思路,提高创新思维能力,显示出概率方法在应用上的广泛性和优越性,体现出数学的统一性. In this paper, some simple inequalities are proved by the simple nature of probability method. The purpose of this paper is to link probability knowledge with other maths branches, so as to broaden the way of solving problems and improve the ability of creative thinking. It shows the extensiveness and superiority of probability methods in application, The unity of mathematics.