中文段落：

概率统计，简称概统，是数学学科中一门重要的分支，主要研究随机现象的统计规律性。概率，是对某一事件发生的可能性大小的度量，它反映了随机事件发生的可能性大小。而统计则是基于大量的观察数据，通过科学的方法对数据进行整理、分析和推断，以揭示数据的内在规律和趋势。概统在实际应用中具有广泛的用途，比如在天气预报、金融分析、医疗诊断、科学研究等领域都有着重要的作用。通过概率统计的方法，我们可以更加准确地预测未来事件的发展趋势，为决策提供依据。同时，概统也是数据科学、机器学习等现代科技领域不可或缺的数学基础。

英文段落：

Probability and statistics, abbreviated as "prob. & stats.", is a crucial branch of mathematics, primarily focused on studying the statistical regularity of random phenomena. Probability is a measure of the likelihood of a particular event occurring, reflecting the degree of chance involved in random events. On the other hand, statistics involves organizing, analyzing, and inferring from a large amount of observed data using scientific methods to reveal underlying patterns and trends. The application of prob. & stats. is vast, playing a crucial role in areas such as weather forecasting, financial analysis, medical diagnosis, and scientific research. Through probabilistic and statistical methods, we can more accurately predict the future trends of events and provide a basis for decision-making. Additionally, prob. & stats. serves as an indispensable mathematical foundation for modern technological fields like data science and machine learning.