【摘要】 给出了概率论与数理统计课程中的两个教学案例.案例一是针对新冠筛查中逐一检验和分组检验的问题，结合概率论与数理统计中离散型随机变量的分布列及其数学期望的知识点给出的，并进行了问题的引申研究.案例二是针对图像加密的安全性问题，结合概率论与数理统计中相关系数定义以及基于概率的信息熵的概念，给出了一个适用于信息安全专业的专业案例.更多还原

【Abstract】 This paper presents two teaching cases in the course of probability theory and mathematical statistics. In the first case, aiming at the problem of one-by-one test and group test in the screening of COVID-19, the knowledge points of the distribution column of discrete random variables and their mathematical expectations in probability theory and mathematical statistics are given, and the extension of the problem is studied. The second case is for the security of image encryption, combined with the definition of correlation coefficient in probability theory and mathematical statistics and the concept of probability-based information entropy, a professional case suitable for information security is given.更多还原