Fifty Challenging Problems in Probability with Solutions Book Summary - Fifty Challenging Problems in Probability with Solutions Book explained in key points

Fifty Challenging Problems in Probability with Solutions summary

Frederick Mosteller

Brief summary

Fifty Challenging Problems in Probability with Solutions is a book by Frederick Mosteller that presents thought-provoking probability problems and their solutions. It's a great resource for anyone looking to sharpen their skills in this area.

Give Feedback
Table of Contents

    Fifty Challenging Problems in Probability with Solutions
    Summary of key ideas

    Understanding Probability through Challenging Problems

    In Fifty Challenging Problems in Probability with Solutions, Frederick Mosteller presents a collection of fifty intriguing problems that illustrate both elementary and advanced aspects of probability. The book is designed to challenge the mathematically inclined and provide an ideal supplement for those who enjoy the stimulating fun of mathematics.

    Mosteller begins by introducing the concept of probability and its applications in real-life scenarios. He then delves into the problems, each carefully chosen for its originality, general interest, or demonstration of valuable techniques. The problems are graded as to difficulty, with many having considerable stature in the field of probability.

    Exploring Probability through Thought-Provoking Scenarios

    As we progress through the book, we encounter a wide range of thought-provoking scenarios. For instance, we ponder over the probability of a fair coin landing heads at least once in ten tosses, or the likelihood of a random point in a square falling within a quarter-circle inscribed in the square.

    Mosteller also introduces us to more complex problems, such as the famous Monty Hall problem. In this scenario, a contestant is asked to choose one of three doors, behind one of which is a car and behind the other two are goats. After the contestant makes their choice, the host, who knows what's behind each door, opens one of the remaining doors to reveal a goat. The contestant is then given the option to stick with their original choice or switch to the other unopened door. The problem lies in determining the best strategy for the contestant to win the car.

    Applying Probability to Real-World Situations

    Throughout the book, Mosteller encourages us to apply probability to real-world situations. For example, we consider the probability of a jury reaching a correct verdict when one of the jurors is known to be flippant, or the likelihood of a chemist mixing a solution correctly when they are known to be clumsy.

    By doing so, Mosteller not only helps us understand the theoretical aspects of probability but also demonstrates its practical applications. He emphasizes that probability is not just a mathematical concept, but a tool that can be used to make informed decisions in various fields, from science and engineering to economics and social sciences.

    Providing Detailed Solutions and Further Reading

    As we tackle each problem, Mosteller provides detailed solutions, guiding us through the thought processes and mathematical techniques required to arrive at the correct answers. These solutions not only help us understand the problems better but also equip us with problem-solving strategies that can be applied to new scenarios.

    At the end of the book, Mosteller includes a list of further readings for those who wish to explore the field of probability in more depth. He also provides a comprehensive index, making it easy for readers to revisit specific problems or concepts.

    Conclusion

    In conclusion, Fifty Challenging Problems in Probability with Solutions by Frederick Mosteller is an engaging exploration of probability through a series of intriguing problems. By presenting these problems and their solutions, Mosteller not only challenges our understanding of probability but also deepens our appreciation for its applications in the real world. Whether you are a student, a teacher, or simply a lover of mathematics, this book offers an intellectually stimulating journey through the fascinating world of probability.

    Give Feedback
    How do we create content on this page?
    More knowledge in less time
    Read or listen
    Read or listen
    Get the key ideas from nonfiction bestsellers in minutes, not hours.
    Find your next read
    Find your next read
    Get book lists curated by experts and personalized recommendations.
    Shortcasts
    Shortcasts New
    We’ve teamed up with podcast creators to bring you key insights from podcasts.

    What is Fifty Challenging Problems in Probability with Solutions about?

    Fifty Challenging Problems in Probability with Solutions by Frederick Mosteller presents a collection of thought-provoking probability problems along with their solutions. It offers a great opportunity for readers to test their understanding of probability theory and problem-solving skills. Whether you're a student, a teacher, or just someone interested in challenging math problems, this book provides an engaging and educational experience.

    Fifty Challenging Problems in Probability with Solutions Review

    Fifty Challenging Problems in Probability with Solutions (1987) is a book that delves into 50 thought-provoking probability problems, providing solutions and explanations along the way. Here are three reasons why this book is worth reading:

    • It offers a wide range of practical problems that challenge readers to think critically about probability and problem-solving.
    • With clear and concise solutions, this book helps readers understand and apply key concepts in probability theory.
    • The book's engaging and interactive approach keeps readers on their toes, making it an enjoyable and intellectually stimulating read.

    Who should read Fifty Challenging Problems in Probability with Solutions?

    • Individuals interested in challenging their problem-solving skills in the field of probability
    • Students or professionals studying mathematics, statistics, or related disciplines
    • Those looking to expand their knowledge and understanding of probability through practical and thought-provoking exercises

    About the Author

    Frederick Mosteller was a renowned American statistician and professor at Harvard University. Throughout his career, he made significant contributions to the field of statistics, particularly in the areas of probability and decision theory. Mosteller co-authored the book "Fifty Challenging Problems in Probability with Solutions," which has become a classic resource for students and professionals alike. His other notable works include "Applied Bayesian and Classical Inference" and "Statistics by Example."

    Categories with Fifty Challenging Problems in Probability with Solutions

    People ❤️ Blinkist 
    Sven O.

    It's highly addictive to get core insights on personally relevant topics without repetition or triviality. Added to that the apps ability to suggest kindred interests opens up a foundation of knowledge.

    Thi Viet Quynh N.

    Great app. Good selection of book summaries you can read or listen to while commuting. Instead of scrolling through your social media news feed, this is a much better way to spend your spare time in my opinion.

    Jonathan A.

    Life changing. The concept of being able to grasp a book's main point in such a short time truly opens multiple opportunities to grow every area of your life at a faster rate.

    Renee D.

    Great app. Addicting. Perfect for wait times, morning coffee, evening before bed. Extremely well written, thorough, easy to use.

    4.7 Stars
    Average ratings on iOS and Google Play
    30 Million
    Downloads on all platforms
    10+ years
    Experience igniting personal growth
    Powerful ideas from top nonfiction

    Try Blinkist to get the key ideas from 7,000+ bestselling nonfiction titles and podcasts. Listen or read in just 15 minutes.

    Start your free trial

    Fifty Challenging Problems in Probability with Solutions FAQs 

    What is the main message of Fifty Challenging Problems in Probability with Solutions?

    The main message of Fifty Challenging Problems in Probability with Solutions is to provide readers with a collection of challenging probability problems and their solutions.

    How long does it take to read Fifty Challenging Problems in Probability with Solutions?

    The reading time for Fifty Challenging Problems in Probability with Solutions can vary based on individual reading speed. However, the Blinkist summary can be read in just a few minutes.

    Is Fifty Challenging Problems in Probability with Solutions a good book? Is it worth reading?

    Fifty Challenging Problems in Probability with Solutions is a valuable book for anyone interested in probability. It offers challenging problems and comprehensive solutions to enhance understanding and problem-solving skills.

    Who is the author of Fifty Challenging Problems in Probability with Solutions?

    The author of Fifty Challenging Problems in Probability with Solutions is Frederick Mosteller.

    What to read after Fifty Challenging Problems in Probability with Solutions?

    If you're wondering what to read next after Fifty Challenging Problems in Probability with Solutions, here are some recommendations we suggest:
    • Where Good Ideas Come From by Steven Johnson
    • Incognito by David Eagleman
    • God Is Not Great by Christopher Hitchens
    • A Brief History of Time by Stephen Hawking
    • Guns, Germs, and Steel by Jared Diamond
    • Our Inner Ape by Frans de Waal
    • The Selfish Gene by Richard Dawkins
    • Simply Complexity by Neil F. Johnson
    • Antifragile by Nassim Nicholas Taleb
    • Physics of the Future by Michio Kaku