For any event that has multiple outcomes with different probabilities, it can be helpful and illustrative to construct a chart or diagram of the possible outcomes. Tree diagrams are a useful example ...

Two events are independent if the probability of the first event happening has no impact on the probability of the second event happening. If the probability of one event happening affects the ...

A third order upper bound is presented on the probability of the union of a finite number of events, by means of graphs called cherry trees. These are graphs that we construct recursively in such a ...

Applicable Analysis and Discrete Mathematics, Vol. 10, No. 2 (October 2016), pp. 408-446 (39 pages) An associative Boolean tree is a plane rooted tree whose internal nodes are labelled by AND or OR ...

The course is concerned with behavior of random walks on certain infinite graphs which are currently in vigorous development. This is a topic of dicrete probability are full of surprising and ...

Imagine an infinite binary tree that we partially fill in as we run the program. While the probability of landing a tails at any position at depth d in the tree is 2^-d, the number of positions at ...