Gambler's ruin problem
This section deals with depending events and their association, either negative or positive. The dependent events can be classified as Using Venn diagrams to represent mutually exclusive events, we see that such events are maximally negatively associated
Similarly, when AB, we conclude that these sets are maximally positively associated.

 

  1. DeGroot, M., Probability and Statistics, Addison-Wesley, 1984.