  As more of topology's tools become popular in analyzing high dimensional data
sets, the goal of understanding the underlying probabilistic properties of
these tools becomes even more important. While much attention has been given to
understanding the probabilistic properties of methods that use homological
groups in topological data analysis, the probabilistic properties of methods
that employ cohomology operations remain unstudied. In this paper, we
investigate the Bockstein operator with randomness in a strictly algebraic
setting.
