Theoretical aspects of probability address finite and symptotic distributions, expected values, and limit theorems, among other things. Applied aspects of probability focus on probability models for random events, including queuing theory, renewal processes, and genetic mapping.
Statistics is another area of mathematics that is a related, but yet distinct, from probability.
It focuses on explaining and modeling variability of data. Ideas, principles and results from probability are used to model random phenomena. They typically design studies, conduct exploratory data analysis, summarize data, develop models, estimate and evaluate parameter estimates. Applied statisticians are frequently in collaboration with scientists and intimately involved with scientific inference. The theory and practice of probability and statistics have been greatly affected by modern advances in computer technology.