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Essential Probability Practice Workbook with Answers: A Self-Teaching Guide

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This self-study probability workbook, authored by experienced teacher, Chris McMullen, Ph.D., teaches essential probability skills beginning with first concepts. Answers and explanations are included to all of the problems. Many of the more involved problems show you how to obtain the answer two (or more) different ways to help convince you that the answer is correct. Topics include: permutations and combinations, including the case of repeated elements; a variety of counting problems, like the handshake problem; probability rules, like when you may add or multiply probabilities together; classic problems, like the birthday problem; coins, dice, and cards, including unfair coins or dice; random selections of balls or socks, with or without replacement; probability distributions, like the binomial and Poisson distributions; basic data analysis, including the expected value and variance; histograms; conditional probability; shapes and grids; geometric probability; coloring problems; odds vs. probability. The author, Chris McMullen, Ph.D., has over twenty years of experience teaching math skills to physics students. He prepared this workbook of the Improve Your Math Fluency series to share his strategies for solving probability problems.

399 pages, Kindle Edition

Published May 5, 2024

53 people are currently reading
2251 people want to read

About the author

Chris McMullen

180 books319 followers
Dr. Chris McMullen has over 20 years of experience teaching university physics in California, Oklahoma, Pennsylvania, and Louisiana. Dr. McMullen is also an author of math and science books. Whether in the classroom or as a writer, Dr. McMullen loves sharing knowledge and the art of motivating and engaging students.

Chris McMullen earned his Ph.D. in phenomenological high-energy physics (particle physics) from Oklahoma State University in 2002. Originally from California, Dr. McMullen earned his Master's degree from California State University, Northridge, where his thesis was in the field of electron spin resonance.

Dr. McMullen is well-known for:
• engaging students in challenging ideas through creativity
• breaking difficult problems down into manageable steps
• providing clear and convincing explanations to subtle issues
• his mastery of physics and strong background in mathematics
• helping students become more fluent in practical math skills

As a physics teacher, Dr. McMullen observed that many students lack fluency in fundamental math skills. In an effort to help students of all ages and levels master basic math skills, he published a series of math workbooks on arithmetic, fractions, algebra, geometry, trigonometry, and calculus called the Improve Your Math Fluency Series. Dr. McMullen has also published a variety of science books, including introductions to basic astronomy and chemistry concepts in addition to physics workbooks.

Dr. McMullen is very passionate about teaching. Many students and observers have been impressed with the transformation that occurs when he walks into the classroom, and the interactive engaged discussions that he leads during class time. Dr. McMullen is well-known for drawing monkeys and using them in his physics examples and problems, using his creativity to inspire students. A stressed-out student is likely to be told to throw some bananas at monkeys, smile, and think happy physics thoughts.

Dr. McMullen first published The Visual Guide to Extra Dimensions, Volumes 1 and 2, to share his passion for the geometry and physics of the fourth dimension. Dr. McMullen has coauthored a half-dozen articles on current and future collider searches for large extra dimensions.

In addition to writing and teaching, Dr. McMullen enjoys Scrabble, golf, and chess.

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