# The Pleasures of Probability

• Richard Isaac
Textbook

Part of the Undergraduate Texts in Mathematics book series (UTM)

1. Front Matter
Pages i-xv
2. Richard Isaac
Pages 1-11
3. Richard Isaac
Pages 13-20
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Pages 21-30
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Pages 31-40
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Pages 41-53
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Pages 55-59
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Pages 61-76
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Pages 77-93
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Pages 95-102
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Pages 103-110
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Pages 111-125
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Pages 127-139
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Pages 141-155
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Pages 157-168
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Pages 169-186
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Pages 187-202
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Pages 203-214
19. Back Matter
Pages 215-244

### Introduction

The ideas of probability are all around us. Lotteries, casino gambling, the al­ most non-stop polling which seems to mold public policy more and more­ these are a few of the areas where principles of probability impinge in a direct way on the lives and fortunes of the general public. At a more re­ moved level there is modern science which uses probability and its offshoots like statistics and the theory of random processes to build mathematical descriptions of the real world. In fact, twentieth-century physics, in embrac­ ing quantum mechanics, has a world view that is at its core probabilistic in nature, contrary to the deterministic one of classical physics. In addition to all this muscular evidence of the importance of probability ideas it should also be said that probability can be lots of fun. It is a subject where you can start thinking about amusing, interesting, and often difficult problems with very little mathematical background. In this book, I wanted to introduce a reader with at least a fairly decent mathematical background in elementary algebra to this world of probabil­ ity, to the way of thinking typical of probability, and the kinds of problems to which probability can be applied. I have used examples from a wide variety of fields to motivate the discussion of concepts.

### Keywords

Brownian motion Law of large numbers Markov chain Poisson distribution Radiologieinformationssystem Random variable statistics

#### Authors and affiliations

• Richard Isaac
• 1
• 2
1. 1.Department of MathematicsLehman College, City University of New YorkBronxUSA

### Bibliographic information

• DOI https://doi.org/10.1007/978-1-4612-0819-8
• Copyright Information Springer-Verlag New York, Inc. 1995
• Publisher Name Springer, New York, NY
• eBook Packages
• Print ISBN 978-1-4612-6912-0
• Online ISBN 978-1-4612-0819-8
• Series Print ISSN 0172-6056
• Buy this book on publisher's site
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