ABSTRACT
Paradoxically, most people confronted with the study of the mathematical representation and analysis of probability nd this effort challenging or worse. The question becomes one of translating our intuition concerning probability into an understanding of the mathematical structure of the subject. The answer is far from clear. This text represents an attempt to support the transition from intuition to mathematical rigor. The vehicle for promoting the transition is explanation and example rather than theorem and proof. As we proceed, readers are encouraged to reect on the experiences they have had with practical realizations of probability and the relationship of those experiences to the topics described here.
