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49 of 51 people found the following review helpful:
5.0 out of 5 stars
Very Entertaining Journey of Risk and Probability, March 31, 2006
I loved this book! It's a quick read and received high praise by the New York Times and the New Yorker, so my humble comments only echo those. This book weaves a rare combination of entertaining stories with precise lessons of how risk and randomness affect our daily lives. One can tell the authors' depth of experience and love of teaching the interplay of mathematics, philosophy and the human condition. The mother and son authors chose a wide variety of historical vignettes and modern life dilemmas, making the discussions very accessible and entertaining. I enjoyed Steven Levitt's Freakonomics for its mix of illuminating stories, but I felt like this book explored a richer set of classic historical examples and many more lessons on risk that I can apply to my real-life decisions.
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17 of 17 people found the following review helpful:
5.0 out of 5 stars
James Tanton, July 9, 2006
This is a truly phenomenal book! As a mathematician and a mathematics educator I have certainly studied and taught the mathematics of probability theory and statistics. I have always worked to convey to my students the story of the subject (mathematical story that is) and the intellectual context of the work, as well as convey a sense of the overall structure of its historical development. But I am a tad embarrassed to admit that I did not truly appreciate the *human context* of this subject until I read CHANCES ARE ....
Ellen Kaplan and Michael Kaplan have pieced together, clearly after a phenomenal amount of archival research, the picture of man's struggle to harness chaos and randomness in his life. The story they tell is compelling and richly human. Divided into 11 chapters, each section of text deals with the story of one particular aspect of the unpredictable - understanding the spread of disease and the effectiveness of vaccines, for instance, the role of the uncertainty in the courtroom, the effects of the unpredictable in political interactions and warfare, all connected to the innate human desire to master the unknown. Ellen and Michael not only explore factual details related to describing, accepting, and, in some cases, conquering uncertainty, but also discuss and reveal the psychological impact randomness induces at every stage of its contemplation. Reading their work becomes a personal experience: we see that the struggles encountered by a society are the personal struggles we each experience. This book is revealing on a multitude of levels.
Written with humor and eloquence, the book is a delight to read. Although mathematical formulae are kept to a minimum, mathematical richness of ideas is not denied. As an educator, I hope this book will become required reading for all students of probability and statistics. But this, of course, is not the only audience of readers. CHANCES ARE ... is an important book, absolutely relevant and accessible to all who are human. It is fundamentally a book about us.
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20 of 22 people found the following review helpful:
5.0 out of 5 stars
Entertaining, Stimulating, Useful!, April 21, 2006
This is a very special book. Michael and Ellen Kaplan put forth an intriguing thesis. We are taught deductive reasoning in geometry and logic classes, inductive reasoning in science. This book is about the great valley in between where we spend most of our lives: probability. They throw us some fun problems at the start to show that many of us (e.g. me) may not grasp probability intuitively. The "Blue Cab/Green Cab Problem" is an eye opener. If 85 percent of the cabs in a city are green, 15 percent blue, and a witness with 80 percent accuracy spots a blue cab, is it likely to actually be blue or green? The answer is surprising. People focus on the 80 percent accuracy, but the key is the 15 percent of blue cabs. This is more than a fun math problem. It can help you judge medical tests. A less-than-perfect diagnostic test of a rare condition is likely to be misleading. (Don't depend on your doctor; the Kaplans show that MDs are not good at probabilities.) There is a wonderful chapter on gambling and some new insights into Pascal's Wager. Pascal says to bet on the existence of God; the Kaplans, after doing the math, are not so sure. Again, this is more than just an academic exercise. A band of Evangelical Christians are currently going around our community using Pascal's Wager as an argument for converting young people to their fundamentalist Christianity. The authors also address the Monty Hall problem: whether a contestant on "Let's Make a Deal" should switch doors when Monty reveals what's behind one of them. Everybody knows by now, if they've read about the problem in USA Today or the NY Times, that one always swtiches. But the Kaplans are the first to explain the theoretical underpinnings of the problem, comparing it to the Principle of Restricted Choice in bridge. There's more. Philosopher David Hume said that the fact the sun has risen every morning is no proof that it will rise tomorrow. But the Kaplans show that Bayesian probability offers math that is not proof per se, but evidence of probability. My psychotherapist suggested I use Bayesian probability to help deal with my great variety of unrealistic anxieties. I am terrified, for example, of having to go to the bathroom on a long bike ride with no restroom nearby. Actually calculating the probability of this happening, using past experience, has relieved this nervousness. The best thing about the book, though, is its tone. Most math-book authors are making one point: they are smart and everybody else is dumb. The Kaplans are not arrogant, and explain why it's natural that we make the mistakes we do. They poke fun at the "geniuses" at the RAND Corporation who got annoyed when people refused to act like RAND mathematical diagrams predicted they would act. The RAND folks tried to convince two presidents to make a preemptive nuclear strike at the Soviet Union, but thankfully dumber but more experienced men prevailed (Truman and Eisenhower). An excellent book. There is a 100 percent chance that you will enjoy it.
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