Nowadays, most introductory probability texts fit into one of two categories. On the one hand are more basic ones, full of examples, not presenting much theory, and lacking in mathematical rigor. On the other hand are ultra-abstract books, starting from measure theory and proving a lot of "abstract nonsense" without helping the reader understand any of what is going on.

This book exists on a very happy middle ground between these two extremes: it is highly theoretical, while providing a lot of rich discussion and helping develop intuition as well. Although it is old and somewhat out-of-date, many of the results are just as important and much of the material has changed very little.

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