Describes the use of graph theory and game theory to deepen students' appreciation of Ferdinand Magellan's story and his magnificent contributions as an explorer. (MKR)

The historical development of probability theory is traced from its early origins in games of chance through its mathematical foundations in the work of Pascal and Fermat. The roots of statistics are also presented beginning with early actuarial developments through the work of Laplace, Gauss, and others. (MDH)

Observes the application of probability theory to a game between two players. Shows how basic techniques such as tree diagrams can be used to demonstrate optimum strategies, how the art of bluffing can be quantified, and how this might be applied to a game of poker. (Author/ASK)

Presents a typical cost-allocation problem with possible solutions, including geometric and combinatoric ones. Provides students with a real-life application of the mathematics that they know. (KHR)

Some counterintuitive ideas in probability are examined. In particular, for sequential selection procedure, such as drawing cards, it is shown that there is probabilistic advantage to drawing first (or early) relative to drawing last (or late) in the sequence. (Author/MK)

Game theory is appropriate as a topic for an honors seminar for high school students. Matrices provide a model for analyzing certain situations involving conflict, and probability theory can be used to determine the best strategies for the players. Variations on the ancient game of morra are discussed. (MNS)