  Online gambling sites offer many different gambling games. In this work we
analyse the gambling logs of numerous solely probability-based gambling games
and extract the wager and odds distributions. We find that the log-normal
distribution describes the wager distribution at the aggregate level. Viewing
the gamblers' net incomes as random walks, we study the mean-squared
displacement of net income and related quantities and find different diffusive
behaviors for different games. We discuss possible origins for the observed
anomalous diffusion.
