ABSTRACT
This chapter introduces a number of methods for solving probability problems, as well as a few other intellectual tools. It shows that the classic concept of a fair game, though widely used, is misleading when applied to money. The chapter examines the topic of robustness of the solution of probability problems by supposing that the initial probabilities are not exactly known but have small errors e(i). Thus for the original uniform probability assignment where we originally assumed the individual probabilities were, say, 1/n, the chapter considers the change of the solution where we have probabilites 1/n + e(i) (for small e(i) of course). It is seldom that anything is absolutely uniform in nature, and hence the robustness of the solution is an important aspect of the problem if we are to act on the computed results.
