三个悖论问题在概率论与数理统计教学中的讨论
Discussion of Three Paradoxes in the Teaching of Probability Theory and Mathematical Statistics

在概率论与数理统计课程中，有关条件概率的全概率公式和贝叶斯公式是概率计算的重要内容。三个概率悖论问题被列举出来并用贝叶斯公式解决，用于概率论与数理统计教学中，引发学生思考问题，激发学生学习兴趣，使学生体会直觉思维犯错和用数据说话的可靠性。
The total probability and Bayes formula based on conditional probability, in the course of Probability Theory and Mathematical Statistics, are important for computing probability. Three probabilistic paradox problems were enumerated and solved by Bayes formula. They are employed in the teaching of Probability Theory and Mathematical Statistics to stimulate students to think, pay attention to learning, make sense intuitive mistakes, and understand the reliability of using data to make decision.