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The Drunkard's Walk: How Randomness Rules Our Lives

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The Drunkard's Walk: How Randomness Rules Our Lives

by Leonard Mlodinow

About this title: "The Drunkard's Walk" is a magnificent exploration of the role that chance plays in our lives. Often historical, occasionally hysterical, and consistently smart and funny, this book challenges everything we think we know.--Daniel Gilbert, author of "Stumbling on Happiness."

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goodreads rating 4 out of 5 4 out of 5
Sep 22, 2009
By David, Washington, DC

"very interesting book on how random processes/sampling error can be responsible for large effects yet difficult to perceive. Ties together numerous seemingly disparate effects (why are stock analysts paid so much if it's nearly impossible to beat the market average consistently? why do people tend to believe that those who experience failure or misfortune deserved it? etc. etc.

Also delves into considerable detail on the history of understanding of probability, games of chance, and so on, and how one discovery/invention facilitated another (e.g., it was hard to work out an understanding of the probabilities of joint occurrences of independent events before it was common to use positioning to convey meaning of numbers -- tens place, hundreds place, and so on) -- more and more, I'm finding that sort of history of ideas a lot more interesting than the history of politics, military campaigns, names of laws passed, etc., probably because the history classes taken in school are so lopsided the other way.

Lots of these things seem obvious in retrospect or when pointed out, but when first applied to a new area are actually very counterintuitive. He describes the development of a mid-80's study by Tversky and others of the "hot hand" in basketball for instance -- mistaken belief that the conditional probability of a made basket is altered by recent results. I remember being at a psychology convention when I happened to hear that study presented orally before it was published, and the audience had one hypothesis after another to try to salvage the hot hand (it's not random deviation from your basic long-run-average shooting percentage -- you do get hot or cold, but people offset this tendency with the difficulty of the shots they try -- if I'm feeling it, I'll try anything and therefore start missing, but if I'm off I'll insist on only high-percentage shots from there. Or the defense clamps down on the hot guy, etc. None of which would be consistent with teams actually trying to feed the hot hand, as they readily admit doing).

It's a good thing I don't fall for any of this or wear lucky shirts on Redskins game days."

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goodreads rating 5 out of 5 5 out of 5
Jul 16, 2009
By Georg, Berlin, Germany

"Ein richtig gutes Buch für alle die, die sich ein bisschen für Mathematik interessieren, aber in der Schule (so wie ich) spätestens bei der Integralrechnung ausgestiegen sind. Unterhaltsam und anschaulich wird einem vor Augen geführt, wie leicht man sich bei statistischen Fragen oder bei Wahrscheinlichkeiten täuschen oder auch - im wahrsten Sinne des Wortes - verrechnen kann.

Manches wird ein bisschen aufdringlich wiederholt (ok, Lektoren und Weinexperten sind auch nur Menschen), und manches ist ein bisschen zu unspektakulär, zum Beispiel die Erkenntnis, dass es einfacher ist, in die Vergangenheit zu sehen als in die Zukunft.

Aber manches ist eben einfach auch richtig verblüffend, und allein das rechtfertigt die 5 Sterne. Neben dem (mir bereits bekannten) Auto/Ziege Problem etwa das Two-daughter Paradox, das ich für Interessierte mal übersetzt habe (ist bei Wikipedia leicht unter "two daughte probability" auf Englisch zu finden). Goodreads mag keine Excel Tabellen, wer sie in lesbarer Version haben will, meldet sich bitte bei mir.

Two daughters

Meine beiden folgenden Behauptungen stehen unter zwei Prämissen:

Prämisse 1:
Die Wahrscheinlichkeit, dass ein Kind ein Junge oder ein Mädchen ist, beträgt 50%.

Prämisse 2:
Die Wahrscheinlichkeit, dass ein Mädchen schwarze Haare hat, beträgt 25%.

Behauptung 1:
Wenn eine Familie 2 Kinder hat, und eines davon ist ein Mädchen, dann beträgt die Wahrscheinlichkeit, dass das andere Kind auch ein Mädchen ist, ein Drittel oder 33,33%.

Behauptung 2:
Wenn eine Familie 2 Kinder hat, und eines davon ist ein Mädchen mit schwarzen Haaren, dann beträgt die Wahrscheinlichkeit, dass das andere Kind auch ein Mädchen ist, 60%.

Und hier ist der Beweis:

Die erste Behauptung ist leicht zu beweisen. Bei zwei Kindern gibt es genau 4 Möglichkeiten der Verteilung, und offensichtlich sind alle Möglichkeiten gleich wahrscheinlich:
1. Junge/Junge (J/J) (25%)
2. Junge/Mädchen (JM) (25%)
3. Mädchen/Junge (MJ) (25%)
4. Mädchen/Mädchen (MM) (25%)
Da drei Fälle (1.,3. und 4.), also insgesamt 9.000 Kombinationen, möglich sind, und in 3.000 dieser Kombinattionen auch das zweite Kind ein Mädchen ist, beträgt die Wahrscheinlichkeit 1/3.


Behauptung 2 ist komplizierter. Die Fälle, bei denen Mädchen in der Familie sind, müssen gesondert betrachtet werden. Wenn also die Wahrscheinlichkeit, dass die Kombination Mädchen/Junge (auch in dieser Reihenfolge) 25% beträgt, dann liegt die Wahrscheinlichkeit dafür, dass das Mädchen schwarze Haare hat (SM), wiederum bei 25%, dass es keine schwarzen Haare hat (M) bei 75% . Von den 3.000 Fällen J/M ist es also am wahrscheinlichsten, dass 750 Mädchen schwarzhaarig sind und 2.250 eben nicht.


Es ergibt sich folgende Gesamttabelle

Fall Anzahl ja/nein
J/J 3.000 0
J/M 2.250 0
J/SM 750 750
M/J 2.250 0
SM/J 750 750
M/M 750 0
M/SM 750 750
SM/M 750 750
SM/SM 750 750
Summe 12.000 3.750

Es bleiben also nur noch 3.750 möglicheKombinationen übrig. Davon sind 2.250 Fälle Treffer (beides Mädchen; Zeilen 11, 12 und 13), und 1.500 Fälle sind Nieten (ist also doch ein Junge dabei; Zeilen 5 und 8). Das ist eine Wahrscheinlichkeit von 2.250/3.750 (=0,6), also 60%."

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Customer rating: 5 out of 5 5 out of 5
Doctors and lawyers must read, Jul 15, 2009
By LSterk, Chicago, IL

"Excellent book that might change your view of the world forever. Especially recommended for anyone who skipped stats in college but is curious about the measured world.

Largely told through storytelling about developments first in probabilty and then statistics. Understanding comes from how insight after insight layered up to become usable methods.

If nothing else, clearest explanation of why you change doors in Price is Right or switch briefcases in Deal or No Deal."

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goodreads rating 3 out of 5 3 out of 5
Jul 11, 2009
By Gabe, New York, NY

"For anyone which has not had the benefit of taking Statistics (hopefully in college), this book is an excellent overview of the material you would get in a college level course (although without the beauty of calculus) told through many lenses: history, social policy issues, interesting mathematical puzzles.

For anyone that wonders about events that seem seemingly pre-ordained or destined, this might be a good book to expand your thinking and make you think about the role probability can play in your life.

If you like like to collect little useless nuggets of information, although it's not meant to be a cornucopia such as something like 'The General Book of Ignorance', this book should provide some nice sustenance. :-)

Finally, and maybe MOST IMPORTANTLY, let me step on my soap box here and say to anyone that reads this book, please take the time to understand the discussion about Conditional Probability!! I honestly believe the world would be a better place if everyone did."

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Overall customer rating:
3.9 out of 5 3.9 out of 5
14 of 15 (93%) customers said they would recommend this book to a friend.

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