Understanding Probability

Author: Henk Tijms

Publisher: Cambridge University Press


Category: Mathematics

Page: 562

View: 858

Using everyday examples to demystify probability, this classic is now in its third edition with new chapters, exercises and examples.

Understand Probability

Little Quick Fix

Author: John MacInnes

Publisher: SAGE


Category: Reference

Page: 108

View: 949

The Little Quick Fix to Understanding Probability breaks it down step by step with crystal clear examples and exercises from one of the leading quantitative teachers in the UK. All you need is an hour and you'll finally get it. Once it clicks into place, you can nail that section of your exam. Little Quick Fix titles provide quick but authoritative answers to the problems, hurdles, and assessment points students face in the research course, project proposal, or design—whatever their methods learning is. Lively, ultra-modern design; full-colour, each page a tailored design. An hour's read. Easy to dip in and out of with clear navigation enables the reader to find what she needs—quick. Direct written style gets to the point with clear language. Nothing needs to be read twice. No fluff. Learning is reinforced through a 2-minute overview summary; 3-second summaries with super-quick Q&A DIY tasks create a work plan to accomplish a task, do a self-check quiz, solve a problem, get students to what they need to show their supervisor. Checkpoints in each section make sure students are nailing it as they go and support self-directed learning. How do I know I’m done? Each Little Quick Fix wraps up with a finale checklist that allows the reader to self-assess they’ve got what they need to progress, submit, or ace the test or task.

Understand Probability

Author: IntroBooks

Publisher: IntroBooks


Category: Business & Economics

Page: 30

View: 849

This booklet will teach you everything you need to know about probability in order to use it to your advantage. We shall start by exploring the very theory of probability and, later on, we shall discuss about the important role it plays in the fields of mathematics and science. Of course, we cannot even begin to think about probability without also considering the statistics and the inductive inferences. Therefore, we shall also approach these matters. Our booklet will take you on a journey that will underline the connection between Logic and Probability. Logic plays a big role in understanding the principles of probability. We are not all great mathematicians, but we have broken down the principles of probability into tiny bits, so that we can be sure all of our readers will benefit from reading our book. Probabilistic models usually imply a generous amount of knowledge of the dialect of science. Which is why, rather than depending on the conventional "hypothesis - confirmation" design, we built up the material in a natural - yet at the same time thorough and scientifically exact way. Besides, while the applications are different and clear, we underline the fundamental ideas and approaches that are generally materialized. Read this guide to uncover the mysteries of probability and learn how to apply them in your line of work, your studies and even your day-to-day activities, in order to get more things done and to fully benefit from your work. ***************************** IntroBooks delivers up to the minute information covering everything on a topic in only one hour of reading. This book is written to give essential information in a straight-to-the-point, easy to read format. We have cut out technical jargon, waffle and unnecessary filler to ensure you get the essential information you need to achieve your goals with confidence.

Probability For Dummies

Author: Deborah J. Rumsey

Publisher: John Wiley & Sons


Category: Mathematics

Page: 384

View: 336

Packed with practical tips and techniques for solving probability problems Increase your chances of acing that probability exam -- or winning at the casino! Whether you're hitting the books for a probability or statistics course or hitting the tables at a casino, working out probabilities can be problematic. This book helps you even the odds. Using easy-to-understand explanations and examples, it demystifies probability -- and even offers savvy tips to boost your chances of gambling success! Discover how to * Conquer combinations and permutations * Understand probability models from binomial to exponential * Make good decisions using probability * Play the odds in poker, roulette, and other games

The Probability Lifesaver

All the Tools You Need to Understand Chance

Author: Steven J. Miller

Publisher: Princeton University Press


Category: Mathematics

Page: 752

View: 950

The essential lifesaver for students who want to master probability For students learning probability, its numerous applications, techniques, and methods can seem intimidating and overwhelming. That's where The Probability Lifesaver steps in. Designed to serve as a complete stand-alone introduction to the subject or as a supplement for a course, this accessible and user-friendly study guide helps students comfortably navigate probability's terrain and achieve positive results. The Probability Lifesaver is based on a successful course that Steven Miller has taught at Brown University, Mount Holyoke College, and Williams College. With a relaxed and informal style, Miller presents the math with thorough reviews of prerequisite materials, worked-out problems of varying difficulty, and proofs. He explores a topic first to build intuition, and only after that does he dive into technical details. Coverage of topics is comprehensive, and materials are repeated for reinforcement—both in the guide and on the book's website. An appendix goes over proof techniques, and video lectures of the course are available online. Students using this book should have some familiarity with algebra and precalculus. The Probability Lifesaver not only enables students to survive probability but also to achieve mastery of the subject for use in future courses. A helpful introduction to probability or a perfect supplement for a course Numerous worked-out examples Lectures based on the chapters are available free online Intuition of problems emphasized first, then technical proofs given Appendixes review proof techniques Relaxed, conversational approach

Bayesian Statistics the Fun Way

Understanding Statistics and Probability with Star Wars, LEGO, and Rubber Ducks

Author: Will Kurt

Publisher: No Starch Press


Category: Bayesian statistical decision theory

Page: 268

View: 481

Bayesian Statistics the Fun Way gets you understanding the theory behind data analysis without making you slog through a load of dry concepts first - with no programming experience necessary. You'll learn about probability with LEGO, statistics through Star Wars, distributions with bomb fuses, estimation through precipitation, and come away with some strong mathematical reasoning skills. This is a super approachable book for people who need to do data science and probability work in their lives, but never got a good grip on the underlying theory.

"I Don't Really Understand Probability at All"

Final Year Pre-Service Teachers' Understanding of Probability

Author: Nicole Maher




Page: 8

View: 786

This paper reports on one aspect of a wider study that investigated a selection of final year pre-service primary teachers' responses to four probability tasks. The tasks focused on foundational ideas of probability including sample space, independence, variation and expectation. Responses suggested that strongly held intuitions appeared to interfere with understanding probability, which impacted on the pre-service teachers' ability to identify students' errors and to confidently provide appropriate teaching suggestions and approaches.

Fundamentals of Probability and Stochastic Processes with Applications to Communications

Author: Kun Il Park

Publisher: Springer


Category: Technology & Engineering

Page: 275

View: 920

This book provides engineers with focused treatment of the mathematics needed to understand probability, random variables, and stochastic processes, which are essential mathematical disciplines used in communications engineering. The author explains the basic concepts of these topics as plainly as possible so that people with no in-depth knowledge of these mathematical topics can better appreciate their applications in real problems. Applications examples are drawn from various areas of communications. If a reader is interested in understanding probability and stochastic processes that are specifically important for communications networks and systems, this book serves his/her need.

BUNDLE: Little Quick Fix Series (O'Leary: Research Question + O'Leary: Research Proposal + MacInnes: Identify Your Variables + MacInnes: Know Your Numbers + MacInnes: Understand Probability)

Author: John MacInnes

Publisher: SAGE Publications, Incorporated


Category: Social Science

Page: 104

View: 899

This bundle includes Little Quick Fix: O'Leary: Research Question (Paperback) and O'Leary: Research Proposal (Paperback) and MacInnes: Identify Your Variables (Paperback) and MacInnes: Know Your Numbers (Paperback) and MacInnes: Understand Probability (Paperback)

First Steps in Mathematics

Data Management and Probability, Understand Probability, Collect, Process, and Interpret Data, Improving the Mathematics Outcomes of Students






View: 882

Math for All Learners: Probability and Statistics

Author: Robert Jenkins

Publisher: Walch Publishing


Category: Mathematics

Page: 92

View: 845

Worksheets and labs to help students understand probability and statistic concepts for today's information age using real world situations.


A Philosophical Introduction

Author: D.H. Mellor

Publisher: Routledge


Category: Philosophy

Page: 176

View: 957

Probability: A Philosophical Introduction introduces and explains the principal concepts and applications of probability. It is intended for philosophers and others who want to understand probability as we all apply it in our working and everyday lives. The book is not a course in mathematical probability, of which it uses only the simplest results, and avoids all needless technicality. The role of probability in modern theories of knowledge, inference, induction, causation, laws of nature, action and decision-making makes an understanding of it especially important to philosophers and students of philosophy, to whom this book will be invaluable both as a textbook and a work of reference. In this book D. H. Mellor discusses the three basic kinds of probability – physical, epistemic, and subjective – and introduces and assesses the main theories and interpretations of them. The topics and concepts covered include: * chance * frequency * possibility * propensity * credence * confirmation * Bayesianism. Probability: A Philosophical Introduction is essential reading for all philosophy students and others who encounter or need to apply ideas of probability.


The Little Numbers That Rule Our Lives

Author: Peter Olofsson

Publisher: John Wiley & Sons


Category: Mathematics

Page: 328

View: 577

Praise for the First Edition “If there is anything you want to know, or remind yourself, about probabilities, then look no further than this comprehensive, yet wittily written and enjoyable, compendium of how to apply probability calculations in real-world situations.” - Keith Devlin, Stanford University, National Public Radio’s “Math Guy” and author of The Math Gene and The Unfinished Game From probable improbabilities to regular irregularities, Probabilities: The Little Numbers That Rule Our Lives, Second Edition investigates the often surprising effects of risk and chance in our lives. Featuring a timely update, the Second Edition continues to be the go-to guidebook for an entertaining presentation on the mathematics of chance and uncertainty. The new edition develops the fundamental mathematics of probability in a unique, clear, and informal way so readers with various levels of experience with probability can understand the little numbers found in everyday life. Illustrating the concepts of probability through relevant and engaging real-world applications, the Second Edition features numerous examples on weather forecasts, DNA evidence, games and gambling, and medical testing. The revised edition also includes: The application of probability in finance, such as option pricing The introduction of branching processes and the extinction of family names An extended discussion on opinion polls and Nate Silver’s election predictions Probabilities: The Little Numbers That Rule Our Lives, Second Edition is an ideal reference for anyone who would like to obtain a better understanding of the mathematics of chance, as well as a useful supplementary textbook for students in any course dealing with probability.

The Little Purple Probability Book

Master the Thinking Skills to Succeed in Basic Probability

Author: Brandon Royal

Publisher: Maven Publishing


Category: Mathematics

Page: 48

View: 861

Fine-tune your numerical mindset with a quantitative review that serves as a tool for perceiving probability in a new way. Whether you’re a high school student, college student, or a test-prep candidate, this book’s wealth of explanations and insights makes it a perfect learning companion. Enjoy the benefits of your own short course in probability: •Be able to think conceptually by understanding how key problems “fit” within the main topics of probability, permutations, combinations, and enumerations. *Master basic probability using a simple “flowchart” to identify the correct formulas. *Understand when to “add” probabilities and when to “multiply” probabilities. *Be able to distinguish between events that are independent versus not independent and events that are mutually exclusive versus not mutually exclusive. *Grasp key differences between permutations and combinations and look for key words such as “arrangements” or “selections” to indicate the correct problem type. *Solve tricky permutation problems that involve repeated letters or numbers. *Approach probability problems with a newfound confidence and competency. This book is focused on honing those thinking skills that are essential for mastering basic probability. Such thinking skills make it much more likely that a person will be able to understand the “how” and “why” of problem solving, approach the subject in a conceptual way, and grasp those key principles that act as themes to bind related problems. These skills combine the science of math with the art of numbers. “To get started in probability theory, all you need are a few basic principles. Here they are, clear and uncluttered, in a short, simple book that comes as a welcome breath of fresh air.” —Dr. Ian Stewart, author of 17 Equations That Changed the World and the Cabinet of Mathematical Curiosities

Introduction to Probability

4600 Solved Problems and Practice Exercises Involving Dice, Marbles, Coins, and More!

Author: Dorothy Stein




Page: 766

View: 396

Probability is where Common Sense meets MathematicsProbability Theory is at the heart of almost every rational decision we make in our lives.It lies at the heart of every game of chance, and huge sums are won and lost based on split-second mental calculations of the probability that a choice made is likely to win.It lies at the heart of decisions we make about purchases and investments: all cost-benefit analyses rely on probabilistic projections of the probable benefit in the most likely future case.Probability Theory can be unbelievably complex to master at the highest level.However, the basics of this important field of mathematics and economics are very simple.This book is dedicated to the basics of probability theory.The target audience for this book is quite large. Anyone who wants a first course in probability or a refresher course in the subject can go through the theory, the solved problems, and the practice exercises in this book with much profit.The book starts with a detailed examination of one of the most common examples in any introductory textbook on probability: dice. As I take the reader through every case when 1 die, 2 dice, and 3 dice are rolled, I make sure that understanding of the subject is motivated through the many case studies that I have chosen; dozens of different solved examples have been presented to the reader so that you will be armed with the tools to tackle any real life problem.I then take you through two more classic introductory probability examples: coins and marbles. These illustrate many points that a more advanced student of probability will find useful, and lay a strong foundation for conditional probability.Finally, you will be given a large number of practice problems, of slowly increasing levels of difficulty. These are great for you to test your understanding of the topic, and slowly level up as you tackle questions that require a deeper understanding, or greater numerical skills. By the end of the book, you will be able to produce an error free answer to any elementary probability problem. In case you are unable to solve any problem, detailed solutions are provided at the end of the book.The long term advantages of a thorough reading of this book are many. A strong foundation in basic probability will increase your common sense skills, and help you make choices based on concrete estimates based on data given, rather than making random guesses. It is especially important for students of business and any scientific field to make these decisions, and is equally important for professionals in any field to understand probability.All the best!

A Probability Path

Author: Sidney I. Resnick

Publisher: Birkhäuser


Category: Mathematics

Page: 453

View: 628

Many probability books are written by mathematicians and have the built-in bias that the reader is assumed to be a mathematician coming to the material for its beauty. This textbook is geared towards beginning graduate students from a variety of disciplines whose primary focus is not necessarily mathematics for its own sake. Instead, A Probability Path is designed for those requiring a deep understanding of advanced probability for their research in statistics, applied probability, biology, operations research, mathematical finance and engineering. A one-semester course is laid out in an efficient and readable manner covering the core material. The first three chapters provide a functioning knowledge of measure theory. Chapter 4 discusses independence, with expectation and integration covered in Chapter 5, followed by topics on different modes of convergence, laws of large numbers with applications to statistics (quantile and distribution function estimation) and applied probability. Two subsequent chapters offer a careful treatment of convergence in distribution and the central limit theorem. The final chapter treats conditional expectation and martingales, closing with a discussion of two fundamental theorems of mathematical finance. Like Adventures in Stochastic Processes, Resnick’s related and very successful textbook, A Probability Path is rich in appropriate examples, illustrations and problems and is suitable for classroom use or self-study. The present uncorrected, softcover reprint is designed to make this classic textbook available to a wider audience. This book is different from the classical textbooks on probability theory in that it treats the measure theoretic background not as a prerequisite but as an integral part of probability theory. The result is that the reader gets a thorough and well-structured framework needed to understand the deeper concepts of current day advanced probability as it is used in statistics, engineering, biology and finance.... The pace of the book is quick and disciplined. Yet there are ample examples sprinkled over the entire book and each chapter finishes with a wealthy section of inspiring problems. —Publications of the International Statistical Institute This textbook offers material for a one-semester course in probability, addressed to students whose primary focus is not necessarily mathematics.... Each chapter is completed by an exercises section. Carefully selected examples enlighten the reader in many situations. The book is an excellent introduction to probability and its applications. —Revue Roumaine de Mathématiques Pures et Appliquées

Probability and Conditional Expectation

Fundamentals for the Empirical Sciences

Author: Rolf Steyer

Publisher: John Wiley & Sons


Category: Mathematics

Page: 600

View: 404

This book bridges the gap between books on probability theory and statistics by providing the probabilistic concepts estimated and tested in the analysis of variance, regression analysis, factor analysis, structural equation modeling, hierarchical linear models, and analysis of qualitative data. The authors emphasize the theory of conditional expectations that is also fundamental to conditional independence and conditional distributions. Key features: Presents a rigorous and detailed mathematical treatment of probability theory, focusing on concepts that are fundamental to understand what we are estimating in applied statistics Explores the basics of random variables along with extensive coverage of measurable functions and integration. Extensively treats conditional expectations with respect to a conditional probability measure and the concept of conditional effect functions, which are crucial in the analysis of causal effects. Is illustrated throughout with simple examples, numerous exercises, and detailed solutions. Provides website links to further resources, including videos of courses delivered by the authors as well as R code exercises to help illustrate the theory presented throughout the book. Aimed at mathematicians, applied statisticians and substantive researchers, this book will help readers to understand in terms of probability theory what applied statisticians and substantive researchers estimate and test in their empirical studies.


Risk Management, Statistics, Combinations and Permutations for Business

Author: Daniel Covington




Page: 192

View: 727

Are you someone who struggles or use to struggle with Mathematics at school? Causing you to be totally averse to the subject? If you are, do you realize that certain aspects of Mathematics can be very useful for you to know in the real world? Whether you are retail employee or a budding entrepreneur, or really just someone looking to contribute to your place of work, you will surely encounter problems that require planning and analysis to address them. What you may not know is that, most of the time statistics, specifically probability and its concepts, will often give you an edge in identifying solutions and strategies to help you move forward with a great plan. And you're in luck because in this book you will get to know what probability is and more importantly, how it can help you solve the problems you encounter in your business work and day-to-day life. Specifically this book will help you: How to summarize data Measure variability Learn the core concepts of probability Gain knowledge of probability distributions and their functions Realize the importance of probability rules in business Become adept at using probabilities in life and at work Identify the types of risk your business can face How to effectively manage risk using probability Understand how to use probability and statistics in business Give your business an edge by learning more about probability and how it can help you. DO NOT DELAY! Grab a copy of this book today!

Probability and Statistical Inference

Author: Robert Bartoszynski

Publisher: John Wiley & Sons


Category: Mathematics

Page: 592

View: 213

Updated classic statistics text, with new problems and examples Probability and Statistical Inference, Third Edition helps students grasp essential concepts of statistics and its probabilistic foundations. This book focuses on the development of intuition and understanding in the subject through a wealth of examples illustrating concepts, theorems, and methods. The reader will recognize and fully understand the why and not just the how behind the introduced material. In this Third Edition, the reader will find a new chapter on Bayesian statistics, 70 new problems and an appendix with the supporting R code. This book is suitable for upper-level undergraduates or first-year graduate students studying statistics or related disciplines, such as mathematics or engineering. This Third Edition: Introduces an all-new chapter on Bayesian statistics and offers thorough explanations of advanced statistics and probability topics Includes 650 problems and over 400 examples - an excellent resource for the mathematical statistics class sequence in the increasingly popular "flipped classroom" format Offers students in statistics, mathematics, engineering and related fields a user-friendly resource Provides practicing professionals valuable insight into statistical tools Probability and Statistical Inference offers a unique approach to problems that allows the reader to fully integrate the knowledge gained from the text, thus, enhancing a more complete and honest understanding of the topic.

Exploring Probability in School

Challenges for Teaching and Learning

Author: Graham A. Jones

Publisher: Springer Science & Business Media


Category: Education

Page: 390

View: 574

Exploring Probability in School provides a new perspective into research on the teaching and learning of probability. It creates this perspective by recognizing and analysing the special challenges faced by teachers and learners in contemporary classrooms where probability has recently become a mainstream part of the curriculum from early childhood through high school. The authors of the book discuss the nature of probability, look at the meaning of probabilistic literacy, and examine student access to powerful ideas in probability during the elementary, middle, and high school years. Moreover, they assemble and analyse research-based pedagogical knowledge for teachers that can enhance the learning of probability throughout these school years. With the book’s rich application of probability research to classroom practice, it will not only be essential reading for researchers and graduate students involved in probability education; it will also capture the interest of educational policy makers, curriculum personnel, teacher educators, and teachers.