中文摘要：

本文研究了随机变量序列的条件Borel-Cantelli引理和条件大数定律,这分别是现有相关结果的推广.

英文摘要：

In this paper, we obtain a conditional Borel-Cantelli lemma and a conditional law of large numbers for random variable sequences, which respectively generalize the works of the references.