Best probability questions
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Best probability questions
1. Fifty Challenging Problems in Probability with Solutions (Dover Books on Mathematics)
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2. Problems in Probability (Problem Books in Mathematics)
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Used Book in Good ConditionDescription
For the first two editions of the book Probability (GTM 95), each chapter included a comprehensive and diverse set of relevant exercises. While the work on the third edition was still in progress, it was decided that it would be more appropriate to publish a separate book that would comprise all of the exercises from previous editions,in addition tomany new exercises.
Most of the material in this book consists of exercises created by Shiryaev, collected and compiled over the course of many years while working on many interesting topics.Many of the exercises resulted from discussions that took place during special seminars for graduate and undergraduate students. Many of the exercises included in the book contain helpful hints and other relevant information.
Lastly, the author has included an appendix at the end of the book that contains a summary of the main results, notation and terminology from Probability Theory that are used throughout the present book. This Appendix also contains additional material from Combinatorics, Potential Theory and Markov Chains, which is not covered in the book, but is nevertheless needed for many of the exercises included here.
3. Fifty Challenging Problems in Probability with Solutions (Dover Books on Mathematics) by Mosteller, Frederick New Edition (2000)
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Brand New. Will be shipped from US.4. Problems in Probability Theory, Mathematical Statistics and Theory of Random Functions
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5. A Practical Guide To Quantitative Finance Interviews
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This book will prepare you for quantitative finance interviews by helping you zero in on the key concepts that are frequently tested in such interviews. In this book we analyze solutions to more than 200 real interview problems and provide valuable insights into how to ace quantitative interviews. The book covers a variety of topics that you are likely to encounter in quantitative interviews: brain teasers, calculus, linear algebra, probability, stochastic processes and stochastic calculus, finance and programming.6. 150 Most Frequently Asked Questions on Quant Interviews (Pocket Book Guides for Quant Interviews)
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Topics:
Mathematics, calculus, differential equations
Covariance and correlation matrices. Linear algebra
Financial instruments: options, bonds, swaps, forwards, futures
C++, algorithms, data structures
Monte Carlo simulations. Numerical methods
Probability. Stochastic calculus
Brainteasers
The use of quantitative methods and programming skills in all areas of finance, from trading to risk management, has grown tremendously in recent years, and accelerated through the financial crisis and with the advent of the big data era. A core body of knowledge is required for successfully interviewing for a quant type position. The challenge lies in the fact that this knowledge encompasses finance, programming (in particular C++ programming), and several areas of mathematics (probability and stochastic calculus, numerical methods, linear algebra, and advanced calculus). Moreover, brainteasers are often asked to probe the ingenuity of candidates.
This book contains over 150 questions covering this core body of knowledge. These questions are frequently and currently asked on interviews for quantitative positions, and cover a vast spectrum, from C++ and data structures, to finance, brainteasers, and stochastic calculus.
The answers to all of these questions are included in the book. These answers are written in the same very practical vein that was used to select the questions: they are complete, but straight to the point, as they would be given in an interview.
7. 100 Questions (and Answers) About Statistics (SAGE 100 Questions and Answers)
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SAGE Publications IncDescription
In an increasingly data-driven world, it is more important than ever for students as well as professionals to better understand basic statistical concepts. 100 Questions (and Answers) About Statistics addresses the essential questions that students ask about statistics in a concise and accessible way. It is perfect for instructors, students, and practitioners as a supplement to more comprehensive materials, or as a desk reference with quick answers to the most frequently asked questions.
"The key strength of this book is the straightforward approach. I love the to-the-point question-and-answer format. . . . This book would be useful in both statistics and research methods courses . . . [and] in math tutoring labs. I love the tone the author uses, as it is not condescending. Students will be encouraged."
Jamie Brown, Mercer University
"The sequencing of the questions works very wellfrom the most basic to the more intimidating questions often asked by students in an intro class. . . . If Dr. Salkind is the author, I know it will be well-written, and both entertaining and easy to understand."
Linda Martinez, California State University, Long Beach
"Practical examples from all types of work: showing the steps to do each analysis and then the ways to use the results responsibly."
Jennifer R. Salmon, Eckerd College
8. Challenging Mathematical Problems With Elementary Solutions, Vol. 1
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Designed for advanced high school students, undergraduates, graduate students, mathematics teachers, and any lover of mathematical challenges, this two-volume set offers a broad spectrum of challenging problems ranging from relatively simple to extremely difficult. Indeed, some rank among the finest achievements of outstanding mathematicians.
Translated from a well-known Russian work entitled Non-Elementary Problems in an Elementary Exposition, the chief aim of the book is to acquaint the readers with a variety of new mathematical facts, ideas, and methods. And while the majority of the problems represent questions in higher ("non-elementary") mathematics, most can be solved with elementary mathematics. In fact, for the most part, no knowledge of mathematics beyond a good high school course is required.
Volume One contains 100 problems, with detailed solutions, all dealing with probability theory and combinatorial analysis. Topics include the representation of integers as sums and products, combinatorial problems on the chessboard, geometric problems on combinatorial analysis, problems on the binomial coefficients, problems on computing probabilities, experiments with infinitely many possible outcomes, and experiments with a continuum of possible outcomes.
Volume Two contains 74 problems from various branches of mathematics, dealing with such topics as points and lines, lattices of points in the plane, topology, convex polygons, distribution of objects, nondecimal counting, theory of primes, and more. In both volumes the statements of the problems are given first, followed by a section giving complete solutions. Answers and hints are given at the end of the book.
Ideal as a text, for self-study, or as a working resource for a mathematics club, this wide-ranging compilation offers 174 carefully chosen problems that will test the mathematical acuity and problem-solving skills of almost any student, teacher, or mathematician.
9. Will You Be Alive 10 Years from Now?: And Numerous Other Curious Questions in Probability
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Used Book in Good ConditionDescription
What are the chances of a game-show contestant finding a chicken in a box? Is the Hanukkah dreidel a fair game? Will you be alive ten years from now? These are just some of the one-of-a-kind probability puzzles that acclaimed popular math writer Paul Nahin offers in this lively and informative book.
Nahin brings probability to life with colorful and amusing historical anecdotes as well as an electrifying approach to solving puzzles that illustrates many of the techniques that mathematicians and scientists use to grapple with probability. He looks at classic puzzles from the past--from Galileo's dice-tossing problem to a disarming dice puzzle that would have astonished even Newton--and also includes a dozen challenge problems for you to tackle yourself, with complete solutions provided in the back of the book.
Nahin then presents twenty-five unusual probability puzzlers that you aren't likely to find anywhere else, and which range in difficulty from ones that are easy but clever to others that are technically intricate. Each problem is accompanied by an entertaining discussion of its background and solution, and is backed up by theory and computer simulations whenever possible in order to show how theory and computer experimentation can often work together on probability questions. All the MATLAB Monte Carlo simulation codes needed to solve the problems computationally are included in the book.With his characteristic wit, audacity, and insight, Nahin demonstrates why seemingly simple probability problems can stump even the experts.
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