In a sequence of Bernoulli trials suppose the outcomes are either successes (S) or failures (F). A list of these outcomes will consist of runs of S’s and F’s and it is the purpose of this article to investigate such runs. Initially the investigation will be pursued theoretically. Then the theoretical model will be applied to data provided by the Test Matches which have been played between England and Australia for many years, to give a comparison between the expected results and those that have actually been achieved.