
This book is written for high school and college students learning about probability for the first time. It will appeal to the reader who has a healthy level of enthusiasm for understanding how and why the various results of probability come about. All of the standard introductory topics in probability are covered:combinatorics, the rules of probability, Bayes’ theorem, expectation value, variance, probability density, common distributions, the law of large numbers, the central limit theorem, correlation, and regression. Calculus is not a prerequisite, although a few of the problems do involve calculus. These are marked clearly. • Features 150 worked-out problems in the form of examples in the text and solved problems at the end of each chapter. • Includes 100 figures to help illustrate important concepts. • Frequently provides helpful supplementary remarks that are separated off from the main text. • Concludes with appendices that develop the mathematical tools needed for derivations in the text. • A valuable resource in any introductory probability course, either as the main text or as a supplement.
"Probability" by David Morin
"Walk Through Combinatorics, A: An Introduction To Enumeration And Graph Theory" by Miklós Bóna
Probability: For the Enthusiastic Beginner by David Morin is the book that helped me get it. It's got tons of examples and I felt like I could work through them.
Grokking Algorithms by me(!) is (in my biased opinion) an easier text for learning algorithms. Lots of pictures and examples. I initially learned through CLRS and did not find that one easy.