This is a book of problems in probability and their solutions. The work has been written for undergraduate students who have a background in calculus and wish to study probability.
Probability theory is a key part of contemporary mathematics. The subject plays a key role in the insurance industry, modelling financial markets, and statistics in general — including all those fields of endeavour to which statistics is applied (e.g. health, physical sciences, engineering, economics, social sciences). Every student majoring in mathematics at university ought to take a course on probability or mathematical statistics. Probability is now a standard part of high school mathematics, and teachers ought to be well versed and confident in the subject. Problem solving is important in mathematics. This book combines problem solving and probability.
• The problems tend to be quite long, verging on small projects. Many are intended to give the student the flavour of mathematical research even though the problems are not research problems per se. Long problems help to dispel the feeling that all mathematics problems can be solved in half a page
• Some problems are well known theorems (e.g. the central limit theorem). Many texts give the student the opportunity to study the proof and to apply such theorems. The problems in this book give the student an opportunity to experience the satisfaction of proving the theorem
• The text is accompanied by a set of engaging drawings by the Australian artist Linda Perry
Yale University Library